The frequency of the given wave is equal to 6.32 × 10¹⁶ Hz.
What are frequency and wavelength?The frequency of the wave can be defined as the number of cycles of a wave in one second. The S.I. units of frequency are per second (s⁻¹) or Hertz.
The wavelength can be defined as the distance between the two crests or troughs in phase with respect to each other.
The expression between wavelength, speed of light, and frequency (ν) is:
c = νλ
Given, the wavelength of the wave, ν = 4.75 ×10⁻⁹ m
The speed of light, \(c = 3 \times 10^8 m/s\)
The frequency of the waves can be calculated from the above-mentioned relationship:
ν = c/λ = 3 × 10⁸/4.75 ×10⁻⁹ = 0.632 × 10¹⁷ = 6.32 × 10¹⁶
Therefore, the frequency of the wave is equal to 6.32 × 10¹⁶ Hz.
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A compound contains arsenic and oxygen as its only elements. A 1.626 g sample of the compound contains 1.060 g of arsenic. What is the empirical formula for this compound?
Our sample has 1.626 g, and 1.060 g is As.
Amount of Oxygen = 1.626 - 1.060 = 0.566 g O
Part 1) We must calculate the number of moles of each element:
Please, get the atomic masses of As and O from the periodic table.
For As) 1.060 g As x (1 mole As/74.92 g) = 0.01415 moles As
For O) 0.566 g O x (1 mole O/16.00 g) = 0.03537 moles O
Part 2) We need to calculate the subindexes we put in the empirical formula:
Let's divide the number of moles by the smallest one of them
For As) 0.01415 moles As/0.01415 moles As = 1
For O) 0.03537 moles O/0.01415 moles As = 2.5
We convert these 2 values into whole numbers, multiplying by 2:
1 x 2 = 2
2.5 x 2 = 5
The empirical formula: As2O5
Given the law of conservation of energy, what happens when a 200°C iron bar is placed in thermal contact with a 30°C block of wood?
When a 200°C iron bar is placed in thermal contact with a 30°C block of wood, energy leaves the iron bar and enters the wood until the temperatures are equal.
Law of conservation of energy states that the energy cannot be lost or formed but it can only be transformed from one form to another.
According to the given question, the block of wood is at a lower temperature than an iron bar. Hence, heat will flow from the iron bar to the block of wood until the temperatures of both are equal.
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1.2 grams of hydrochloric acid (HCI) mixed in 0.025L of solution. M = ?
1.2 grams of hydrochloric acid (HCI) mixed in 0.025L of solution. Molarity of the solution is 0.192 M.
What is molarity?Molarity, or molar concentration, is a unit of measurement that indicates the amount of a solute in a given solution, expressed as moles of solute per liter of solution (M or mol/L). It is a measure of the concentration of molecules of a solute in a given solution, and can be used to calculate dilutions, such as when preparing buffers or quantifying the amount of a product (such as DNA) present in a solution.
The molecular weight of HCl is 36.46 g/mol, so 0.0048 mol HCl divided by 36.46 g/mol gives 1.2 g HCl. To calculate the molarity, i.e. moles of HCl per liter of solution, you take 0.0048 mol HCl divided by 0.025 L, which gives 0.0048 mol HCl/0.025L, or 0.0048 mol/L, which is the molarity of the solution.
n= \(\frac{1.2}{36.46}\) = 0.0048
M= \(\frac{n}{V}\)
substituting the values,
M = 0.19 M
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Select the correct answer.
Which phrase best describes heat?
O A. the energy that an object has as a result of its temperature
OB. the average translational kinetic energy of the particles in an object
ОС. the energy transferred between objects at different temperatures
OD
the total amount of energy possessed by the particles in an object
Answer:
C is the answer hope I helped you have a good day by
Twenty-five milliliters of 0.10 M HCl is titrated with 0.10 M NaOH. What is the pH after 15 ml of NaOH has been added
Answer:
The correct answer is 1.60.
Explanation:
Based on the given question, 25 ml of 0.10 M HCl is titrated with 0.10 M NaOH. Now moles of HCl can be determined by using the formula,
Moles = volume * concentration of HCl
= 25/1000*0.10 = 0.0025 moles
Similarly the moles of NaOH added will be determined by using the formula,
Moles of NaOH added = volume * concentration of NaOH
= 15/1000 * 0.10 = 0.0015 moles
The reaction taking place in the given case is,
HCl + NaOH = NaCl + H2O
Now the moles of excess H+ = moles of excess HCl
= 0.0025 - 0.0015 = 0.001 moles
Based on the given question, the sum of the volume of the solution is 25+15 = 40 ml or 0.040 L
[H+] = moles of H+/total volume
= 0.001 / 0.040 = 0.025 M
pH = -log[H+]
= -log[0.025]
= 1.60
The pH after 15 ml of NaOH has been volume is 1.60.
Calculation of Concentration of HCl Moles
It is based on the given question that is, 25 ml of 0.10 M HCl is titrated with 0.10 M NaOH. Now moles of HCl can be specified by using the formula,
Moles is = volume * concentration of HCl
Then is = 25/1000*0.10 = 0.0025 moles
Besides, the moles of NaOH added will be determined by using the formula,
When the Moles of NaOH added is = volume * concentration of NaOH
= 15/1000 * 0.10 = 0.0015 moles
When The reaction taking place in the given case is,
HCl + NaOH = NaCl + H2O
Now the moles of excess H+ = moles of excess HCl
= 0.0025 - 0.0015 = 0.001 moles
Then It Based on the given question, the sum of the volume of the solution is 25+15 = 40 ml or 0.040 L
[H+] = moles of H+/total volume
After that = 0.001 / 0.040 = 0.025 M
pH = -log[H+]
Then = -log[0.025]
Therefore, = 1.60
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When vinegar and baking soda are combined, a mixture is produced, and
a gas is released. Which statement is true?
Answer:
When vinegar and baking soda are combined a mixture is produced which is carbon dioxide. A gas is released.
Explanation:
At 25∘C, the Henry's law constant for CO2 is 0.034Matm. What pressure of carbon dioxide is needed to maintain a CO2 concentration of 0.80 M?
Answer:
P = (Henry's law constant) * (CO2 concentration)
P = (0.034 M/atm) * (0.80 M) = 0.027 atm.
In order to maintain a CO_2 concentration of 0.80 M at 25 degrees Celsius, a pressure of about 23.53 atm would be needed according to Henry's Law.
In the field of Chemistry, Henry's law is used to describe the solubility of gases in liquids. This law states that at a constant temperature, the amount of a given gas that dissolves in a given type and volume of liquid is directly proportional to the partial pressure of that gas in equilibrium with the liquid.
Using the given values from the problem, where the Henry's Law constant (KH) is 0.034 M⋅atm and the desired CO_2 concentration (C) is 0.80 M, we can insert these into the formula for Henry's law: P = C/KH.
By substituting the relevant values, you get P = 0.80 M / 0.034 M⋅atm which equates to approximately 23.53 atm. Therefore, a pressure of about 23.53 atm of carbon dioxide would be needed to maintain a CO_2 concentration of 0.80 M at 25 degrees Celsius.
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Draw the structure of phosphatidylserine and discuss its components
Phosphatidylserine is a type of phospholipid that is mainly found in cell membranes. Its structure is made up of two fatty acid chains, a phosphate group, a serine molecule, and a glycerol molecule.
The fatty acid chains are hydrophobic, meaning they repel water, while the phosphate group and serine molecule are hydrophilic, meaning they attract water.
The glycerol molecule acts as a bridge that connects the two fatty acid chains to the phosphate group and serine molecule.
The structure of phosphatidylserine is important for its function in the cell membrane.
Because of the hydrophobic and hydrophilic components of its structure, phosphatidylserine is able to form a lipid bilayer, which is a barrier that separates the inside of the cell from the outside environment.
The hydrophilic heads of the phosphatidylserine molecules face outward and interact with water, while the hydrophobic tails face inward and repel water.
Phosphatidylserine also plays a role in cell signaling and apoptosis, which is programmed cell death.
It acts as a signaling molecule by binding to proteins that are involved in cellular pathways.
In addition, phosphatidylserine is translocated to the outer leaflet of the cell membrane during apoptosis, which signals to immune cells that the cell is ready to be removed.
In conclusion, the structure of phosphatidylserine is made up of two fatty acid chains, a phosphate group, a serine molecule, and a glycerol molecule. Its hydrophobic and hydrophilic components allow it to form a lipid bilayer in cell membranes, and it also plays a role in cell signaling and apoptosis.
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How many molecules is 3.50 g CO2?
Answer: 44.0095 grams
Explanation:
select the best description of the kinetic energy of two gas particles before and after a collision. luoa
Without additional information about the specific scenario of the gas particles, it is difficult to determine the best description of their kinetic energy before and after a collision.
What is Kinetic Energy?
It is a scalar quantity that is proportional to the mass of the object and the square of its velocity. The formula for kinetic energy is:
Kinetic energy = 0.5 x mass x velocity^2
where m is the mass of the object, and v is its velocity.
The kinetic energy of two gas particles before and after a collision depends on the mass, velocity, and direction of motion of the particles. If the particles are moving at the same speed and in the same direction before and after the collision, their kinetic energy will remain the same. However, if the particles have different masses or velocities, or if they collide at an angle or with a certain degree of elasticity, their kinetic energy may change as a result of the collision.
Therefore, without additional information about the specific scenario of the gas particles, it is difficult to determine the best description of their kinetic energy before and after a collision.
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A 1% solution of Ivermectin contains how many mcg per mL?
Ivermectin is present at doses of 10 mg per mL, which is adequate to treat 110 lb (50 kg) of body weight (maximum 10 mL per injection site.).
What is Ivermectin ?
Antiparasitic medication ivermectin is used. It was first used in veterinary medicine to prevent and treat heartworm and acariasis after being discovered in 1975.
A steroid is not ivermectin. Drugs called steroids behave similarly to cortisol and work to reduce edoema in the body. Prednisolone, betamethasone, and other typical steroids are listed below. Ivermectin, on the other hand, is an anthelmintic medication.
Barbiturates (such as phenobarbital and butalbital), benzodiazepines (such as clonazepam and lorazepam), sodium oxybate (GHB), and valproic acid are a few of the medications that may interact with this medication.
Thus, Ivermectin is present at doses of 10 mg per mL, which is adequate to treat 110 lb (50 kg) of body weight (maximum 10 mL per injection site.)
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Hydrogen chloride dissolved in water yields hydrochloric acid. What is the
molar concentration of HCl if 3.65 g of hydrogen chloride is dissolved in 500 mL of
water?
Answer:
1500ml
Explanation:
molarity=3.65⋅g36.5⋅g⋅mol−1500⋅mL×10−3⋅L⋅mL−1=0.200⋅mol⋅L−1
What happens when a solute dissolves in water?
Answer:
Dissociate
When a solute dissolves in water, a solution is formed.
What is a solute?A solute is any substance capable of dissolving in a solvent in order to form a solution.
When a solute dissolves in a particular solvent, it is said to be that solvent-soluble. Otherwise, it is insoluble.
Now, when the solvent in question is water, the substance is said to be water-soluble or water-insoluble as the case may be.
If a solute is water-soluble, then it forms a solution. If the solute is ionic, it does not just form a solution, it dissociates into its component ions in the solution.
If the solute is not ionic, no dissociation occurs in the solution.
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Of the following statements, the one that is not part of Dalton's atomic theory is that a. each element is composed of indestructible particles called atoms b. all atoms of a given element have the same mass and other properties c. atoms are themselves composed of protons, neutrons, and electrons d. atoms combine in simple whole-number ratios to form compounds
The statement that is not part of Dalton's atomic theory is that atoms are composed of protons, neutrons, and electrons. Option C.
Dalton's atomic theoryThe statement that is not part of Dalton's atomic theory is that atoms are composed of protons, neutrons, and electrons.
This statement is not part of Dalton's atomic theory because the existence of subatomic particles such as protons, neutrons, and electrons was not discovered until much later, after Dalton's time.
Dalton believed that atoms were indivisible and indestructible particles, and did not have knowledge of the internal structure of atoms. The discovery of subatomic particles and the development of atomic models to explain their behavior came after Dalton's atomic theory was formulated.
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Calculate the molarity of 4.07 x 10^2 mL of solution containing 19.4 g of potassium iodide.
Answer: 0.287 M
Explanation:
Molarity is \(M=\frac{n}{v}\). n is moles or solute and v is volume of solution in liters. Since we are given the grams of potassium iodide, we want to convert that into moles. With the volume in mL, we want to convert that to liters.
\(19.4 g*\frac{1 mol}{166.0028g} =0.1169 mol\)
\(4.07*10^2mL*\frac{1L}{1000mL} =0.407 L\)
Now that we have moles and liters, we can find molarity.
\(M=\frac{0.1169mol}{0.407L} =0.287 M\)
Now, we know the molarity is 0.287 M.
? C+? O2 +? CO2,
what is the maximum amount of CO2 which
could be formed from 13.19 g of C and 15.92 g
of O2?
Answer in units of g.
Look at the mole ratio in the balanced equation
2CO + O2 ==> 2CO2
3.44 mol O2 x 2 mol CO/mol O2 = 6.88 moles CO
Show the work. Convert 150 mm Hg to psi.
pls help me, thanks
Answer:
2.9 psi
Explanation:
Pressure (mmHg) = 150 mmHg
Pressure (psi) =?
The pressure in pound per square inch (psi) can be obtained as follow:
51.715 mmHg = 1 psi
Therefore,
150 mmHg = 150 mmHg × 1 psi / 51.715 mmHg
150 mmHg = 2.9 psi
Thus, pressure in pound per square inch (psi) is 2.9 psi.
Each of these geometric shapes has a different number of sides. Arrange the shapes in order from the shape with the greatest number of sides to the shape with the fewest number of sides. Rank these shapes from greatest to fewest number of sides. To rank items as equivalent, overlap them.
triangle , square, rectangle, octagon, hexagon, pentagon
1. Octagon (8 sides)
2. Hexagon (6 sides)
3. Pentagon (5 sides)
4. Square/Rectangle (4 sides)
5. Triangle (3 sides)
Hope this helps :)
Chlorine and hydrogen gas react to form hydrogen chloride as shown in the following reaction Cl 2 ( g)+H 2 (g)--->2HCl (g) Given a 7.10 g sample of chlorine (MM =71.0 g/mol) , how many grams of hydrogen chloride (MM =36.5 g/mol) is produced, assuming the reaction goes to completion? a. 7.10 g 6.3.65 9 c. 5,68 g d 7.300
Answer:
it should be 7.300 sorry if I am wrong
Answer:
The answer is 115
Explanation:
Teacher walked me through it.
Which of the following considerations are applicable when choosing a suitable recrystallization solvent? (TRUE / FALSE) Should have a boiling point that is ~ 30-50 °C above room temperature. Does not dissolve impurities at all temperatures or completely dissolves impurities at all temperatures. Should be unreactive toward the compound of interest. Offers minimal solubility of the compound to be purified at room and lower temperatures. Its solubility-temperature relationship to the compound should give a curve with a low slope. Submit Answer Tries 0/5 In recrystallization from boiling water of benzoic acid contaminated with acetanilide, you begin with an impure sample of 5.3 grams. If the % composition of the acetanilide impurity in the sample is 3.7 %, what is the minimum amount in mL of solvent (water) required for the recrystallization? (Answer format - e.g., 33.2 mL should be entered without any units) Compound Benzoic Acid Acetanilide Solubility in water at 25C 0.34 g/100ml 0.53 g/100mL Solubility in water at 100C 5.6 g/100ml 5.5g/100 ml Your answer Submit Answer Tries 0/10 Outlined below are statements describing the general procedure followed during the purification of a solid by recrystallization. Order the process from start to finish. ، ، ، ، ، ، Remove undissolved material by gravity filtration of hot solution. Obtain the melting point of solid and calculate % recovery. Add decolorizing charcoal to the hot solution to remove the color impurity. Isolate the crystallized solid by vacuum (suction) filtration on Buchner funnel. Dissolve the impure solid in hot recrystallization solvent. Determine the approximate volume of solvent required for recrystallization.
The considerations which are applicable in a suitable recrystallization solvent are: should have a boiling point that is ~ 30-50 °C, Should be unreactive, Offers minimal solubility and solubility-temperature relationship. Option A, C, D and E will be correct.
This statement is true. Because the solvent should have a boiling point that is around 30-50 °C higher than the melting point of the compound to be recrystallized in order to achieve efficient dissolution and crystal formation.
This statement is false. Because a good recrystallization solvent should dissolve the compound of interest well at high temperatures but not at all or only slightly at lower temperatures. Ideally, the impurities should dissolve well at all temperatures, so that they can be separated from the compound of interest during the filtration step.
This statement is true. Because the solvent should not react with the compound of interest, which would affect the purity of the final product.
This statement is true. Because the solvent should have minimal solubility for the compound to be purified at room temperature and lower temperatures, but should dissolve the compound well at higher temperatures in order to achieve efficient recrystallization.
This statement is true. Because the solubility-temperature relationship for the solvent and the compound should have a low slope in order to achieve efficient recrystallization.
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--The given question is incorrect, the correct question is
"Which of the following considerations are applicable when choosing a suitable recrystallization solvent? (TRUE / FALSE) A) Should have a boiling point that is ~ 30-50 °C above room temperature. B) Does not dissolve impurities at all temperatures or completely dissolves impurities at all temperatures. C) Should be unreactive toward the compound of interest. D) Offers minimal solubility of the compound to be purified at room and lower temperatures. E) Its solubility-temperature relationship to the compound should give a curve with a low slope."--
superficial zone chondrocytes can get compacted under physiological loading: a multiscale finite element analysis.
a. true
b. false
The statement "Superficial zone chondrocytes can get compacted under physiological loading: a multiscale finite element analysis" is true.
Superficial zone chondrocytes are the most exposed to mechanical loading and are therefore at risk of being compacted under physiological loading. A multiscale finite element analysis can be used to model and predict the mechanical behavior of cartilage under physiological loading, allowing for a better understanding of the factors that affect its mechanical properties.
This means that chondrocytes in the superficial zone of cartilage are at risk of being compacted under the physiological loading that it experiences in everyday life. A multiscale finite element analysis can be used to model and predict the mechanical behavior of cartilage under physiological loading, allowing for a better understanding of the factors that affect its mechanical properties.
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Magnesium metal burns in presence of oxygen gas to produce magnesium oxide. What mass of magnesium oxide will be produced if 500.0 g of magnesium is available to react with 300.0 g of oxygen
Answer:
Approx.
300
⋅
m
g
Explanation:
We use the Ideal Gas Equation to access the molar quantity of dioxygen gas............
n
=
P
V
R
T
=
0.927
⋅
a
t
m
×
0.4981
⋅
L
0.0821
⋅
L
⋅
a
t
m
K
⋅
m
o
l
×
418.4
⋅
K
=
1.34
×
10
−
2
⋅
m
o
l
.
Given the stoichiometric equation..........
M
g
(
s
)
+
O
2
(
g
)
→
M
g
O
(
s
)
There are
1.34
×
10
−
2
⋅
m
o
l
×
24.31
⋅
g
⋅
m
o
l
−
1
=
?
?
⋅
g
metal required for stoichiometric equivalence.
If you have 50 grams of H2SO4 and excess
Al, how many grams of Al2(SO4)3 are
produced during the following reaction?
2 Al + 3 H2SO4 → Al2(SO4)3 + 3 H2
0.65mol \(Alx_{2} (So_{4} )_{3}\) are produced during the reaction.
What is the molar mass?The mass in grams of one mole of a chemical is its molar mass. A mole is the measurement of the number of things, such as atoms, molecules, and ions, that are present in a substance. Any substance's mole is. Molecules, 6.022 10 23.Divide each element's atomic weight (found in the periodic table) by the number of that element's atoms in the compound. 3. Add up the totals, and then follow the number with the units of grams/mole.The mass of every atom in a molecule, expressed in grams per mole, is known as the molar mass. We first obtain the atomic weights of the different elements in a periodic table to compute a molecule's molar mass. Then, we multiply the total number of atoms by each one's atomic mass.How many grams of Al2(SO4)3 are produced during the following reaction?
2 Al + 3 H2SO4 → Al2(SO4)3 + 3 H2
Molar mas:26.98 →341.15g/mol
All take 35g.
Moles of aluminum=35/26.98=1.29mol.
2mole of aluminum will give=1/2*1.29=0.65
Therefore, 0.65mol \(Alx_{2} (So_{4} )_{3}\).
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State the law of conservation of mass in your own words
Answer:
The law of conservation of mass states that mass is neither created nor destroyed by chemical reactions or physical transformations. So basically, the mass of the products in a chemical reaction must equal the mass of the reactants
Answer: law of conservation of mass says mass can’t be created or destroyed
Explanation:
the true definition is “the law of conservation of mass states that mass can neither be created nor destroyed in a chemical reaction. Thus, the amount of matter can not change
just change the more mature words into child proof words
estimate the number of atoms in your body. (hint: based on what you know about biology and chemistry, what are the most common types of atom in your body? what is the mass of each type of atom? appendix d gives the atomic masses of different elements, measured in atomic mass units; you can find the value of an atomic mass unit, or 1 u, in appendix e.)
It is difficult to estimate the exact number of atoms in a human body because number can vary greatly depending on a person's size and body composition. However, we can make an estimate based on the average mass of the human body and average atomic masses of the most common elements in the body.
The most common elements in the human body are oxygen, carbon, hydrogen, nitrogen, calcium, and phosphorus. These elements make up approximately 99% of the total body mass.
Using the average atomic masses of these elements and assuming a body mass of 70 kg, we can estimate the number of atoms as follows:
Oxygen: approximately 25 kg, or 3.5 × 10⁻²⁶ atoms.
Carbon: approximately 18 kg, or 2.5 × 10⁻²⁶ atoms.
Hydrogen: approximately 10 kg, or 1.4 × 10⁻²⁶ atoms.
Nitrogen: approximately 3 kg, or 4.2 × 10⁻²⁵ atoms.
Calcium: approximately 1.5 kg, or 2.1 × 10⁻²⁵ atoms.
Phosphorus: approximately 0.8 kg, or 1.1 × 10⁻²⁵ atoms.
So, the total number of atoms in a 70 kg human body would be approximately 10⁻²⁷ to 10⁻²⁸ atoms.
The exact number of atoms in a human body can vary greatly depending on a number of factors, including age, body composition, and overall health.
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23 What predictions can you make about the melting point and
boiling point of krypton, which is the next gas in this group?
Explanation:
Answer:krypton toh superman ko maarta haiExplanation:no
NaCl + AgNO, = AgCl + NONO,
If you have 98 grams of sodium chloride, 47 grams of silver nitrate, and 59 grams of silver
chloride, then how many grams of sodium nitrate will you have?
145 grams
86 grams
18 grams
101 grams
Based on the mass ratio of reactants, 23.5 g of sodium nitrate is produced from the reactants.
What is mass ratio of a chemical reaction?The mass ratio of a reaction is the ratio of the masses of reactants wilhich combine to form products.
The mass of sodium nitrate is determined from the mass ratio.
The equation of the reaction gives the mass ratio as follows:
NaCl + AgNO3 ----> AgCl + NaNO3
Molar mass of NaCl = 58.5 g
Molar mass of AgNO3 = 170 g
Molar mass of AgCl = 143.5
Molar mass of NaNO3 = 85 g
There are 98 grams of sodium chloride, 47 grams of silver nitrate, therefore silver nitrate is the limiting reactant.
47 grams of silver nitrate will produce 85/170 × 47 = 23.5 g of sodium nitrate.
Therefore, 23.5 g of sodium nitrate is produced from the reactants.
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Which pair of atoms are isotopes ?
Answer:
If two atoms have different numbers of protons, they are different elements. However, if two atoms have the same number of protons, but different numbers of neutrons we refer to them as isotopes. Two terms we use to identify nuclides (isotopes) are atomic number and mass number.
Explanation:
Your Welcome!
To see the number of atoms of an element in a given molecule we need to multiply stoichiometry to the number that is written on the foot of the element that is stoichiometry. Therefore, in below given ways we can identify isotopes.
What is atom?Atom is the smallest particle of any element, molecule or compound. Atom can not be further divided. Atoms contains nucleus in its center and electron that revolve around the atom in fixed orbit.
In the nucleus, proton and neutron are present. Electron has -1 charge while proton has +1 charge. Neutron is neutral that is it has no charge. So overall the charge of nucleus is due to only proton, not by neutron.
Differing elements exist when two atoms contain different numbers of protons. If two atoms contain the same amount of protons but differing numbers of neutrons, they are referred to be isotopes.
Therefore, in above given ways we can identify isotopes.
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Determine the structure of C6H10, which upon oxidation gives acetic and isobutyric acid
Answer:CH
3
CH
2
CH
2
C≡C−CH
3
Explanation:
If the temperature of a volume of dieal gas ncreases for 100 to 200, what happens to the average kinetic energy of the molecules?
Answer:
It increases but less than double
Explanation:
As the temperature of a gas increase, the average kinetic energy of the gas increases. The kinetic energy of a gas is the thermal energy that the gas contains.
We know, the kinetic energy of an ideal gas is given by :
\($V_{avg} = \sqrt{\frac{8R}{\pi M}}$\)
where, R = gas constant
T = absolute temperature
M = molecular mass of the gas
From the above law, we get
\($V_{avg} \propto \sqrt{T}$\)
Thus, if we increase the temperature then the average kinetic energy of the ideal gas increases.
In the context, if the temperature of the ideal gas increases from 100°C to 200°C, then
\($\frac{(V_{avg)_2}}{(V_{avg)_1}} =\sqrt{\frac{T_2}{T_1}}$\)
\($\frac{(V_{avg)_2}}{(V_{avg)_1}} =\sqrt{\frac{473.15}{373.15}}$\)
\($\frac{(V_{avg)_2}}{(V_{avg)_1}} =\sqrt{1.26}$\)
\($\frac{(V_{avg)_2}}{(V_{avg)_1}} =1.12$\)
\($(V_{avg})_2 = 1.12\ (V_{avg})_1$\)
Therefore, \($(V_{avg})_2 > (V_{avg})_1$\)
Thus the average kinetic energy of the molecule increases but it increases 1.12 times which is less than the double.
Thus, the answer is " It increases but less that double".