A 2.9 kg lump of aluminum is heated to 96oC and then dropped into 9.0 kg of water at 5.3oC. Assuming that the lump–water system is thermally isolated, what is the system's equilibrium temperature? Assume the specific heats of water and aluminum are 4186 and 900 J/kg-K, respectively.

Answers

Answer 1

To find the equilibrium temperature of the lump of aluminum and the water, we can use the principle of conservation of energy.

The heat lost by the aluminum lump is equal to the heat gained by the water when they reach thermal equilibrium.

The heat lost by the aluminum can be calculated using the formula:

Q_aluminum = m_aluminum * c_aluminum * (T_equilibrium - T_aluminum)

where:

m_aluminum is the mass of the aluminum lump (2.9 kg)

c_aluminum is the specific heat capacity of aluminum (900 J/kg-K)

T_equilibrium is the equilibrium temperature we want to find

T_aluminum is the initial temperature of the aluminum lump (96°C)

The heat gained by the water can be calculated using the formula:

Q_water = m_water * c_water * (T_equilibrium - T_water)

where:

m_water is the mass of the water (9.0 kg)

c_water is the specific heat capacity of water (4186 J/kg-K)

T_water is the initial temperature of the water (5.3°C)

Since the system is thermally isolated, the heat lost by the aluminum is equal to the heat gained by the water:

Q_aluminum = Q_water

Substituting the values into the equation:

m_aluminum * c_aluminum * (T_equilibrium - T_aluminum) = m_water * c_water * (T_equilibrium - T_water)

Now we can solve for T_equilibrium:

2.9 kg * 900 J/kg-K * (T_equilibrium - 96°C) = 9.0 kg * 4186 J/kg-K * (T_equilibrium - 5.3°C)

Rearranging the equation and simplifying:

2610 (T_equilibrium - 96) = 37674 (T_equilibrium - 5.3)

2610 T_equilibrium - 250560 = 37674 T_equilibrium - 199250.2

-35064 T_equilibrium = -44810.2

T_equilibrium ≈ 1.28°C

Therefore, the equilibrium temperature of the lump of aluminum and the water is approximately 1.28°C.

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Related Questions

4. What current is drawn by a 90 W light bulb on a 110 V household circuit?
Using GRASS method
answer for 100 points

Answers

V=110VP=90W

We know

P=VI

current is I

90=110I9=11II=9/11I=0.82A

Formula is

\(\boxed{\sf I=\dfrac{P}{V}}\)

I denotes to currentP denotes to powerV denotes to Voltage

So

\(\\ \tt{:}\longrightarrow I=\dfrac{90}{110}\)

\(\\ \tt{:}\longrightarrow I=0.82A\)

why are mass and volume not properties of substances

Answers

Answer:

Extensive properties, such as mass and volume, depend on the amount of matter being measured. Intensive properties, such as density and color, do not depend on the amount of the substance present. Physical properties can be measured without changing a substance's chemical identity

Explanation:

Answer:

yes this above answer is right

How many pairs are in CH4?

Answers

The valence shell of carbon contains four electrons. Each of these electrons are shared with a hydrogen atom. Consequently, the carbon and hydrogen atoms in the methane (CH4) molecule share four electron pairs.

The CH4 molecule does not contain an unshared pair of electrons.Due to the fact that carbon has a valence of 4, it can only make a maximum of 4 bonds with other atoms. Since the hydrogen only has one electron, it can only create one bond. Here, one electron from each hydrogen atom and each of the four valence electrons of carbon are shared, generating four sigma covalent connections. As a result, all of the valence electrons on carbon and hydrogen participate in the creation of the bond and no unshared pair of electrons is left.

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what is the formula managers use to calculate a foodservice operation’s total expense percentage?

Answers

The formula managers use to calculate a food service operation's total expense percentage is to divide the total cost of food by total sales.

The resulting amount should then be multiplied by 100 to get the percentage. A food service operation's total expense percentage is the percentage of its total sales that are spent on food.

The formula to calculate the food service operation's total expense percentage is:

Expense percentage = (Total cost of food / Total sales) * 100

This formula gives the total amount or the total expense percentage which a food service operation spends on its food to generate its total sales or revenue.

In this calculation, the total cost of food includes all expenses associated with purchasing, preparing, and serving the food, such as ingredients, labor, and supplies.

The calculation of the food service operation's total expense percentage is critical for the management and profitability of the business. It helps to determine the actual cost of the food and the operation's overall profitability.

By comparing the expense percentage of the business with industry standards and previous performance, management can make informed decisions to control costs, increase revenue, and maximize profits.

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5- A solid mass of 35 g is mixed with 85 g of a solution. A chemical reaction 1 point
takes place and a gas is produced. The final mass of the mixture is 105 g.
What is the mass of the gas released?

Answers

Answer:

The mass of the gas released is 15 g. I added 35 with 85. Then I subtracted that amount by 105 and got 15 g :)

Which one of the following best defines the notion of the significance level of a hypothesis test?a. The probability of rejectin H2O whether it's true or notb. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is truec. The probability of the type I errorD. The probability of the type II error

Answers

Option B, The probability of observing a sample statistic is more extreme than the one obtained, assuming the null hypothesis is true defines the notion of the significance level of a hypothesis test.

The significance level of a hypothesis test is the probability of observing a sample statistic that is more extreme than the one obtained, assuming the null hypothesis is true.

This value is used to set the threshold for the level of evidence required to reject the null hypothesis in favor of an alternative hypothesis.

The significance level is commonly represented by alpha (α), with typical values being 0.01 or 0.05. If the calculated p-value is less than the significance level, the null hypothesis is rejected and the alternative hypothesis is supported.

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The primers you used in lab amplified 145 base pairs that were adjacent, but not included in the repeat. If you used a different primer that only amplified 130 base pairs adjacent to a 14 base pair repeat, and you had 3 repeats in your product, what was the size of your final pcr product?.

Answers

The size of your final PCR product will be 214.On page 3 of the human mitochondrial genome map, the difference between the left and right primer was used to forecast the size of the PCR result.

How did you gauge how big the PCR product will be?

On page 3 of the human mitochondrial genome map, the difference between the left and right primer was used to forecast the size of the PCR result. According to estimates, the PCR result is 450 base pairs larger than the DNA ladder.

Given that the new primer used amplifies 130 base pairs that are adjacent to

a) 14 base pair  and

b) Has 6 repeats

Determine the size of the final PCR product

( number of base pair * number of repeats ) + Initial/primer amplicon value

= ( 14 * 6 ) + 130

= 84 + 130

= 214

Hence we can conclude that the size of the final PCR product is 214.

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a chemical engineer has determined by measurements that there are 81.2 moles of carbon in a sample of methyl tert-butyl ether. how many moles of oxygen are in the sample? round your answer to 3 significant digits.

Answers

It is 194.88 moles of oxygen that the chemical engineer determined in the sample of methyl tert-butyl ether if there are 81.2 moles of carbon

Procedure to calculate moles of oxygen

If C5H12O the formula of methyl tert-butyl ether, it is observed that there are 5 hydrogen atoms for every 12 oxygen atoms

And if each mole contains exactly 6.022 × 10∧23 atoms, according to Avogadro's number, then a simple rule of thumb can determine how many hydrogen atoms are present.

Rule of three

1 mole ------------- 6.022 ×1023

81.2 moles ----------- x

X = 81.2 x 6.022 140 76×1023

x = 488,986 x 10∧23

Once again, by the rule of three, the amount of elementary oxygen particles is determined.

 5 H atoms ---------- 12 O atoms

488.986 x ×1023 H ------ x O

X = 488,986 x ×1023 x 12 /5

X = 1173.567 x 10∧23

And with the rule of three and Avogadro's number, the number of moles of oxygen is also determined.

Rule of three

6.022 ×1023 ------------- 1 mol

1173.567 x 1023----------- x mol

X moles = 1173.567 x 1023 x 1 / 6.022 x 1023

X = 194.88 moles

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a chemical engineer has determined by measurements that there are 81.2 moles of carbon in a sample of

PLZ PLZ PLZ PLZ HELPPPP!

PLZ PLZ PLZ PLZ HELPPPP!

Answers

Answer:

Ridges

Explanation:

Ridges separate watersheds

Hope this helped!

Why can't we separate azeotropes with the distillation process?.

Answers

Answer:

have just recently learnt the theory of fractional and normal distillations and the basics of maximum and minimum boiling azeotropes.

similar scientific themes are seen in what areas of science?
A. only in areas dealing with living things
B. in all areas of science
C. only in areas dealing with tinny particles
D. only in areas dealing with things on Earth

Answers

Answer:B

Explanation:

Answer b : in all areas

what is antidote for magnesium sulfate

Answers

The treatment for magnesium poisoning involves slowly injecting 10mL of calcium gluconate (2.2mmol of calcium in a 10mL vial; formerly known as 10% solution) into the vein over the course of 10 minutes.

What are the symptoms and treatment for magnesium sulfate toxicity?

Early symptoms of magnesium toxicity include nausea, feeling heated, flushing, somnolence, double vision, slurred speech, and weakness. The first sign of magnesium toxicity is typically the loss of patellar reflexes, which happens with serum magnesium levels of 9 mg/dl to 12 mg/dl.

What symptoms indicate toxicity from magnesium sulfate?

Keep an eye out for the warning signs and symptoms of magnesium sulfate toxicity, such as hypotension, areflexia (loss of DTRs), respiratory depression and arrest, oliguria, shortness of breath, chest pains, slurred speech, hypothermia, confusion, and circulatory collapse.

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Which of the following chemical reactions will produce a precipitate?

Which of the following chemical reactions will produce a precipitate?

Answers

Answer:

naclo4+koh naoh+kclo4

Explanation:

if you know your cemestry

Answer:

it's A

Explanation:

Help I dont know how to do this

Help I dont know how to do this

Answers

option 3 is the best

Aspirin is one of the Aesthetic Values of biodiversity

true
false

Answers

Answer:

true

Explanation:

Answer:

its true

Explanation:

you know Aspirin is one of the Aesthetic Values of biodiversity is true

hope it help to you and goodluck next time

GUYS I NEED THIS ASAP ​

GUYS I NEED THIS ASAP

Answers

It’s DEFINITELY 2 like DEFINITELY

4NH3 + 3O2 → 2N2 + 6H2O
How many moles of water (H2O) are produced from the reaction of 20 moles of
ammonia (NH3
)?

Answers

One mole of NH3 is converted into 0.5 moles of N2, which is the amount of N2 that is created.

N measured in grams or moles?

n = m/M n is the material's mass in grams, m is its mass in moles, and M is its molar mass, or the mass of one mole of the substance, in grams per mole per unit time.

How is total N determined?

Total Nitrogen = TKN + NO2 + NO3 or Whole Nitrogen = Ammonium Nitrogen (NH3) + Organic Carbon dioxide (Nitrogen in amino acids and proteins) + Nitrite (NO2) + Nitrate (NO3) (This is the formula used to measure nitrogen at wastewater plants).

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why do reactions that remove ions interfere with the ion selective elcetrode

Answers

Reactions that remove ions can interfere with the ion-selective electrode due to the alteration of the concentration gradient necessary for accurate ion detection, resulting in inaccurate measurements.

Ion-selective electrodes (ISEs) are analytical devices used to measure the concentration of specific ions in a solution. These electrodes work based on the principle of selectively binding ions of interest and generating an electrical potential that is proportional to the ion concentration. However, when reactions occur in the solution that removes ions, it can disrupt the concentration gradient necessary for the accurate functioning of the ISE.

The removal of ions through reactions decreases their concentration in the solution. This alteration in the concentration gradient affects the equilibrium between the sample and the ISE membrane, leading to inaccurate measurements. The binding sites on the ISE membrane may become oversaturated with the remaining ions, causing the electrode to lose selectivity and generate erroneous potentials.

To obtain reliable measurements, it is crucial to minimize the occurrence of reactions that remove ions during the analysis. This can be achieved by carefully selecting appropriate sample conditions, optimizing the reaction conditions, or using additives that prevent unwanted reactions. By maintaining the integrity of the ion concentration gradient, interference can be minimized, ensuring the accurate functioning of the ion selective electrode and reliable ion concentration measurements.

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Which of these is an example of erosion? A light shining onto a mountain B wind blowing away sediment C rain breaking down rock D all of the above

Answers

Answer:

B wind blowing away sediment

Explanation:

Erosion is the process whereby soil, nutrients, particles are transported away from one place to another via agents like water and wind. Generally, erosion exercises its effect on the surface of the soil.

Since erosion can occur as a result of action of water or wind on the surface of the Earth, "wind blowing away sediment" is an example of erosion among the other options listed in the question.

The reaction R of the body to a dose M of medication is often represented by the general function R(M)=M^2(C/2−M/3where C is a constant. If the reaction is a change in blood pressure, R is measured in millimeters of mercury (mmHg). If the reaction is a change in temperature, Ris measured in degrees Fahrenheit ("F). The rate of change dR/dM is defined to
be the body's sensitivity to the medication. Find a formula for the sensitivity dR/dM=

Answers

A formula for the sensitivity dR/dM  represents the sensitivity of the body's reaction to the medication. It shows how the reaction changes with respect to the dose of the medication, M. The term M*C represents the contribution of the constant C to the sensitivity, while the term \((2M^2)/3\) represents the contribution of the dose M itself.

To find a formula for the sensitivity, dR/dM, let's differentiate the given function R(M) with respect to M.

Step 1: Start with the function \(R(M) = M^2(C/2 - M/3).\)

Step 2: Apply the power rule of differentiation to differentiate M^2. The power rule states that if

\(f(x) = x^n, then f'(x) = n*x^(n-1). \\\)

n this case, n = 2.

\(dR/dM = 2M^(2-1)*(C/2 - M/3).\)

Simplifying, we have:

\(dR/dM = 2M*(C/2 - M/3).\)

Step 3: Distribute the 2M to each term inside the parentheses:

\(dR/dM = M*C - (2M^2)/3.\)

This formula represents the sensitivity of the body's reaction to the medication, dR/dM. It shows how the reaction changes with respect to the dose of the medication, M. The term M*C represents the contribution of the constant C to the sensitivity, while the term \((2M^2)/3\) represents the contribution of the dose M itself.

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the formula for the sensitivity, or the rate of change of the reaction R with respect to the dose M, is

dR/dM = MC - M\(^2^/^3\)

How do we calculate?

We calculate the derivative of the reaction function R(M) with respect to M.

the reaction function: R(M) = M²(C/2 - M/3)

We will apply  the power rule and the constant multiple rule of differentiation,

dR/dM = d/dM [M²(C/2 - M/3)]

= 2M(C/2 - M/3) + M²(0 - (-1/3))

= 2M(C/2 - M/3) + M\(^2^/^3\)

dR/dM =\(MC - 2M^2^/^3 + M^2^/^3\)

= \(MC - M^2^/^3\)

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What is the molarity of 4 mol of NaOH dissolved in 2 L of water? O A. 0.5 M OB. 8 M O C. 2M D. 4 M​

Answers

Answer:

concentration = mol/volume = 4/2 = 2M

The greater the amount of _____ released, the stronger the acid. H+ OH- Ka pH

Answers

Answer:H+(protons)..

What is the total pressure of three gases, if the partial pressures are: 2.67 mmHg, 45.29 mmHg, and 789.6 mmHg

Answers

Answer:

The total pressure of three gases is 837.56 mmHg.

Explanation:

The pressure exerted by a particular gas in a mixture is known as its partial pressure. So, Dalton's law states that the total pressure of a gas mixture is equal to the sum of the pressures that each gas would exert if it were alone:

PT = PA + PB

This relationship is due to the assumption that there are no attractive forces between the gases.

In this case, the total pressure can be calculated as:

PT= 2.67 mmHg + 45.69 mmHg + 789.6 mmHg

Solving:

PT= 837.56 mmHg

The total pressure of three gases is 837.56 mmHg.

What is the main side effect of lithium?

Answers

Lithium is a medication commonly used to treat bipolar disorder, which is a mental health condition characterized by episodes of mania and depression. While lithium is effective in managing the symptoms of bipolar disorder, it can also cause a range of side effects. The main side effect of lithium is its potential to cause lithium toxicity, which can have serious consequences if not properly managed.

Lithium toxicity occurs when there is too much lithium in the body, which can happen if the dosage is too high or if the patient's kidneys are not functioning properly. Symptoms of lithium toxicity can range from mild to severe and may include:

Nausea and vomitingDiarrheaTremorsDrowsinessConfusionSeizuresComa

Lithium levels in the blood should be closely monitored when taking this medication, as it is important to maintain a therapeutic level of lithium in the blood to effectively treat bipolar disorder, but also to avoid toxicity. If toxicity occurs, the medication should be discontinued immediately and the person should be treated in a hospital setting. This may include the use of a medication called a diuretic, which helps the kidneys excrete excess lithium from the body.

It is important to note that not all people experience these side effects. Also, most people who take lithium do not experience any major side effects and are able to manage their condition effectively with this medication.

Additionally, other side effects can occur, such as weight gain, acne, dandruff, fine hand tremor, dry mouth, polyuria, polydipsia, and hypothyroidism. It's important to talk with your healthcare provider about the potential side effects of lithium and to closely monitor your symptoms while taking this medication.

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When chlorine gas comes into contact with magnesium metal at high temperatures, solid magnesium chloride is created. Classify this reaction.

Answers

The formation of solid magnesium chloride (MgCl₂) by the reaction between chlorine gas (Cl₂) and magnesium metal (Mg) at high temperatures is classified as a synthesis reaction or a combination reaction.

Synthesis reactions involve the combination of two or more substances to form a single product. In this case, chlorine gas and magnesium metal combine to produce magnesium chloride as the sole product.

The balanced chemical equation for this synthesis reaction is:

Mg + Cl₂ ⇒ MgCl₂

Hence, the reaction between chlorine gas and magnesium metal to form solid magnesium chloride indicates a synthesis reaction, as the elements combine to form a compound.

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Which of the following could be used as biomass fuel?Check all that apply.A.A treeB.WaterC.SaltD.Corn plants

Answers

Answers

A and D

Explanation

Biomass fuel is produced from organic materials, so trees and corn plants apply.

Who discovered how gravity affects objects on Earth quizlet?

Answers

Answer:

Gravity, Isaac Newton discover

mass of 2 into 10 to power 21 number of atoms of an element is 0.4 gram what is the mass of 0.5 mole of the elements​

Answers

The mass of 0.5 mole of the element is approximately 6.025 grams.

To calculate the mass of 0.5 mole of the element, we need to know the molar mass of the element.

Given that the mass of 2 x 10^21 atoms of the element is 0.4 grams, we can use this information to find the molar mass.

The number of atoms in 1 mole of any substance is given by Avogadro's number, which is approximately 6.022 x 10^23 atoms/mol.

First, we calculate the molar mass of the element using the given information:

Molar mass = Mass of 2 x 10^21 atoms / Number of moles of 2 x 10^21 atoms

Molar mass = 0.4 g / (2 x 10^21 atoms / (6.022 x 10^23 atoms/mol))

Molar mass ≈ 0.4 g / (3.32 x 10^-2 mol)

Molar mass ≈ 12.05 g/mol

Now that we know the molar mass of the element is approximately 12.05 g/mol, we can calculate the mass of 0.5 mole of the element:

Mass = Molar mass x Number of moles

Mass = 12.05 g/mol x 0.5 mol

Mass = 6.025 grams

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Describe how fission is controlled in nuclear reactors to produce energy

Answers

Answer:

A neutron absorbing element must be present to control the amount of free neutrons in the reaction space. Most reactors are controlled by means of control rods that are made of a strongly neutron absorbent material such as boron or cadmium

3. Given the following equation: CH4(g) + 2 O2(g) > CO2(g) + 2 H2O(l) AH = -890.4 kJ a. How much energy is given off when 5.00 moles of CH4 are burned? And How much energy is released when 85.6 grams of CH4 are burned?

Answers

Answer:

-4452 kJ is given off from 5.00 moles of CH4.

-4763.64 kJ is given off from 85.6 grams of CH4.

Explanation:

First, let's write the equation:

\(CH_4+2O_2\rightarrow CO_2+2H_2O,\text{ }\Delta H=-890.4\text{ kJ.}\)

a. We want to know how much energy is given off when 5.00 moles of CH4 are burned, so if we 'multiply' all the coefficients by 5.00 moles, the enthalpy change (ΔH) will also be multiplied by 5.00, so we're going to have:

\(\Delta H\cdot5=-890.4\text{ kJ}\cdot5=-4452\text{ kJ.}\)

-4452 kJ is given off from 5.00 moles of CH4.

Now, to find how much energy is released when 85.6 g of CH4 are burned, we have to find the number of moles using the molar mass of CH4 which is 16 g/mol (you can calculate the molar mass of a compound using the periodic table). The conversion will look like this:

\(85.6\text{ g CH}_4\cdot\frac{1\text{ mol CH}_4}{16\text{ g CH}_4}=5.35\text{ moles CH}_4.\)

We have 5.35 moles of CH4, so we have to follow the same steps that we did before:

\(\Delta H\cdot5.35=-890.4k\text{ kJ}\cdot5.35=-4763.64\text{ kJ.}\)

-4763.64 kJ is given off from 85.6 grams of CH4.

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