1. A heat engine has a cold reservoir that is 285 degrees Kelvin which accepts 370 J of heat, and a hot reservoir that is 371 degrees Kelvin which gives off 425 J of heat. Calculate the maximum and actual efficiencies of this engine.


2. A system that has a total change in entropy of 675 J/K and has received 243 J of heat energy will be at what temperature?


3. Assume that the above system maintains a constant pressure, and increases in volume by 2.5 m 3 while doing this work. What is the pressure of the system?

Answers

Answer 1

I can't help with this one.

Answer 2

The maximum efficiency of the heat engine is 23%.

The actual efficiency of the heat engine is 13%.

The temperature of the system is 273.36 ⁰C.

The pressure of the system is 607.5 Pa.

The given parameters:

Cold reservoir temperature, Tc = 285 KHeat, qc = 370 JHot reservoir temperature, Th = 371 KHeat of the hot reservoir, qh = 425 J

The maximum efficiency of the heat engine is calculated as follows;

\(\eta = 1- \frac{T_c}{T_h} \\\\ \eta = 1 - \frac{285}{371} \\\\ \eta = 0.23\\\\ \eta = 23 \ \%\)

The actual efficiency of the heat engine is calculated as follows;

\(\eta = 1 - \frac{q_c}{q_h} \\\\ \eta = 1 - \frac{370}{425} \\\\ \eta = 0.13\\\\ \eta = 13\ \%\)

The temperature of the system is calculated as follows;

\(\Delta S = \frac{\Delta H}{T} \\\\ T = \frac{\Delta H}{\Delta S}\\\\ T = \frac{243}{675} \\\\ T = 0.36 \ K\\\\ T = 273.36 \ ^0C\)

The pressure of the system is calculated as follows;

\(W = P \Delta V\\\\ P = \frac{W}{\Delta V} \\\\ P = \frac{243}{2.5} \\\\ P = 607.5 \ Pa\)

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Related Questions

PLEASE HELPPP
Force: Adding vectors (find resultant force)
50N north plus 50N west Plus 50N north west

Answers

To find the resultant force of the vectors 50N north, 50N west, and 50N northwest, we can use vector addition.
One way to do this is to draw a diagram of the vectors and use the head-to-tail method to find the resultant vector. We can start by drawing the vector 50N north, then draw the vector 50N west starting from the end of the first vector, and finally draw the vector 50N northwest starting from the end of the second vector and ending at the tip of the resultant vector. The resultant vector is the vector that starts at the beginning of the first vector and ends at the tip of the last vector.
Alternatively, we can use trigonometry to find the magnitude and direction of the resultant vector. We can break down each vector into its x and y components, then add up the x components and the y components separately to get the x and y components of the resultant vector. The magnitude of the resultant vector is then given by the square root of the sum of the squares of the x and y components, and the direction is given by the arctangent of the y component divided by the x component.
Using either method, we can find that the magnitude of the resultant force is approximately 70.7N, and the direction is approximately 45 degrees north of west

Which statement about force is true?
A. It transfers energy only when one object touches another.
OB. It always makes objects move.
C. It only affects large objects.
D. It can act between objects that touch, or it can act at a distance.
SUBMIT

Answers

Answer: D

Explanation: I saw it in a bill nye video.

A:it transfers energy only when one object touches another

1. In general
, which type of compound tends to have the lowest melting point?
O A. Molecular solids
O B. Network solids
O C. lonic salts
O D. Metals

Answers

Your answer will be molecular solids

A diver is on a board 1.80 m above
the water. She jumps straight up
at 3.62 m/s.
At what speed does she hit the water?
[?] m/s

Answers

Answer:

v = 6.95 m/s

Explanation:

Given that,

A diver is on a board 1.80 m above  the water, s = 1.8 m

The initial speed of the diver, u = 3.62 m/s

Let v is the speed with which she hit the water. It will move under the action of gravity. Using the equation of motion as follows :

\(v^2-u^2=2gs\\\\v=\sqrt{u^2+2gs} \\\\v=\sqrt{(3.62)^2+2(9.8)(1.8)} \\\\v=6.95\ m/s\)

So, she will hit the water with a speed of 6.95 m/s.

which car has the most kinetic energy ??

A. a car mass 1400 kg with speed 4 m/s
B. a car mass 1300 kg with speed 3 m/s
C. a car mass 1500 kg with speed 5 m/s
D. a car mass 1200 kg with speed 2 m/s

Answers

Kinetic Energy is defined by 1/2 times the mass times the velocity squared.

KE = (1/2)mv2

it's C

because the faster an object moves the more kinetic energy it has.

An elephant has a mass of 3200kg. Each of its feet covers an area equal to 0. 08m. Calculate the pressure from each foot

Answers

The pressure from each foot of an elephant, with a mass of 3200kg, and each foot covering an area of 0.08m, is calculated to be 500kPa.

To calculate the pressure from each foot of an elephant, we need to use the formula for pressure, which is force per unit area. In this case, we don't have the force, but we have the mass of the elephant, which we can use with the formula for weight, which is mass times gravity.

So, the weight of the elephant is:

Weight = mass x gravity

Weight = 3200kg x 9.8m/s^2

Weight = 31,360N

Now, we need to divide this weight by the total area covered by all four feet (0.08m x 4), to get the pressure from each foot:

Pressure = Weight / Area

Pressure = 31,360N / (0.08m x 4)

Pressure = 500kPa

Therefore, the pressure from each foot of an elephant is calculated to be 500kPa.

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Which is the force that results from use of a machine?
O a. input force
Oc. input work
Ob. output force
Od. output work

Answers

Answer:

D. Output force

Explanation:

The input force is the effort used to run the machine and this results in an output force.

If a body is rotating with a w of -20rads/s and then changes to a w of -40 rads/s, what can be said about the angular acceleration during this time?

Answers

The body is experiencing negative angular acceleration or angular deceleration.

What is angular acceleration?

The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second.

The angular acceleration can be determined using the formula:

angular acceleration = (change in angular velocity) / (time taken)

In this case, the change in angular velocity is:

(change in angular velocity) = final angular velocity - initial angular velocity

= (-40 rad/s) - (-20 rad/s)

= -20 rad/s

Assuming that the time taken for this change in angular velocity is not given, we cannot determine the angular acceleration directly using the above formula. However, we can say that the angular acceleration must be negative, as the angular velocity is decreasing (going from -20 rad/s to -40 rad/s). This means that the body is undergoing angular deceleration, or negative angular acceleration.

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what are insulators of electricity​

Answers

Answer:

Rubber

Glass

Pure water

Oil

Air

Diamond

Dry wood

Dry cotton

Plastic

Asphalt

Other strong insulators include:

Fiberglass

Dry paper

Porcelain

Ceramics

Quartz

Explanation:

I hope this helps

What nuclear reaction is shown in the equation below?
A. Nuclear fusion
B. Nuclear fission
C. Positron emission
D. Beta decay​

What nuclear reaction is shown in the equation below? A. Nuclear fusion B. Nuclear fission C. Positron

Answers

The carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

What is a nuclear fusion?

The term nuclear fusion refers to a kind of reaction in which two nuclei fuse together to give rise to a single nuclei with the evolution of energy.

We can see that the carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

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Answer:

A. Nuclear fusion

Explanation:

got it right, trust

the neck is a

a) first class lever

b) second class lever

c) 3rd class lever

d) 4th class lever

Answers

Answer:

a) first class lever

The answer would be first class lever

An object has a mass of 20 kg and a volume of 5 mL. What is the object's density?
the answer is 4 kg/cm 3. but how do I get to this conclusion?

Answers

Think of a cube that is 1 cm by 1 cm by 1 cm. The volume of this cube is 1*1*1 = 1 cubic cm = cm^3. This is equivalent to 1 mL by definition

So the object's volume of 5 mL is the same as 5 cm^3.

To get the density of an object, we divide the mass over volume

density = (mass)/(volume)

density = (20 kg)/(5 mL)

density = (20 kg)/(5 cm^3)

density = (20/5) (kg/cm^3)

density = 4 kg/cm^3

The density is 4 kilograms per cubic centimeter. In other words, each cubic centimeter of volume has about 4 kilograms of material.

Our solar system is 4.6 billion years old. Based on the age of the solar system, how many galatic years has planet Earth been around?

Answers

Therefore, based on the estimated duration of a galactic year, Earth has been around for approximately 18.4 to 20.4 galactic ye

A "galactic year" refers to the time it takes for our solar system to complete one orbit around the Milky Way galaxy. The exact duration of a galactic year is not precisely determined due to various factors, such as the varying speeds of stars within the galaxy. However, it is estimated to be roughly 225-250 million years.

To calculate the number of galactic years Earth has been around based on the age of the solar system (4.6 billion years), we can divide the age of the solar system by the estimated duration of a galactic year:

Number of Galactic Years = Age of the Solar System ÷ Duration of a Galactic Year

Number of Galactic Years = 4.6 billion years ÷ 225-250 million years

Number of Galactic Years ≈ 18.4 to 20.4 galactic years

Therefore, based on the estimated duration of a galactic year, Earth has been around for approximately 18.4 to 20.4 galactic years.

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what two elements are highlighted on group 3 of the periodic table​

Answers

Answer:

hello! Jaesuk~Sakai here!

Explanation:

The four group 3 elements are scandium, yttrium, lanthanum and actinium. “lanthanide” refers to the elements between lanthanum and lutetium. That term does not encompass scandium and yttrium. Scandium and yttrium act pretty much identically to lanthanides.

happy to help!!

Remember to always stay happy no matter what happens! ^^

A 4,350 kg truck traveling east has a momentum of 26,100kg m/s what's the trucks velocity

Answers

Answer:

6 m/s East

Explanation:

Momentum = Mass . Velocity

26100 = 4350. Velocity

Velocity = 6m/s East

Why is series better than parallel?

Answers

Series connection is advantageous over parallel connection as a parallel circuit consumes more power than a series circuit.

While the voltage across each appliance is the same in a parallel connection, the current passing through each appliance is different in a series connection. A parallel circuit also consumes more energy than a series circuit despite being more dependable.

The quantity of current flowing through each of the circuit's components is the primary distinction between a parallel and a series circuit. The quantity of current flowing through each component in a series circuit is the same.

In comparison to a parallel circuit, a series circuit extends the battery's life. Compared to parallel or series-parallel wiring, this technique of electrical wiring is the most straightforward, and errors are much easier to spot and fix.

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A 9V battery is attached to 6Ω and 3Ω resistor. What is the voltage going to the 3Ω resistor?

1 V
3 V
9 V
2 V
4.5 V
It is a short circuit

A 9V battery is attached to 6 and 3 resistor. What is the voltage going to the 3 resistor?1 V3 V9 V2

Answers

Answer:

Voltage across 3 resistor =13.5v

Explanation:

Voltage=resistance *Current

But we don't have total current, so we must find total current

Current =v/R

Current=9/2

Current =4.5I

From

V=R*I

V=3*4.5

V=13.5v

8. The diagram below shows a hot air balloon rising. Propane gas tanks are seen at
the bottom of the balloon
What energy transformations occur when propane gas is used to lift the balloon?
A.thermal-> Chemical-> light
B. Chemical-> mechanical->
Thermal
C. Chemical-> mechanical-> thermal
D. Mechanical-> light-> Chemical

Answers

Answer:

C. Chemical-> mechanical-> thermal

Explanation:

The energy conversion for the propane, that is, energy transformations that occur when propane gas is used to lift the balloon will be:

Chemical energy converting to mechanical energy which later converted to thermal energy

The correct option is therefore Chemical-> mechanical-> thermal which is option C

A soccer player kicks a ball with initial velocity of 10m/s at an angle of 30 degrees above the horizontal.....what is the magnitude of the vector

Answers

Answer: 10m/s^2

Explanation:

Given the following :

Initial Velocity(U) = 10m/s

Angle of inclination = 30°

In other to calculate the magnitude of the vector,

We need to resolve into verti AL and horizontal component.

Vertical component of a vector(Uy) = U × Sinθ

Horizontal component(Ux) = U × Cosθ

Uy = 10 × sin30 = 10 × 0.5 = 5m/s

Ux = 10 × Cos30 = 10 × 0.866 = 8.66m/s

Therefore the magnitude equals :

U = √(Uy)^2 + (Ux)^2

U = √5^2 + 8.66^2

U = √25 + 74.9956

U = √99.9956

U = 9.9997799

U = 10m/s^2

A vehicle of mass 2000 kg travels at a speed of 72 km/h. Determine your kinetic energy?​

Answers

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

\(\large \bold {ANSWER}\)

✏️ The value of kinetic energy is 400000 J.

\(\large \bold {SOLUTION}\)

Solve by applying the kinetic energy formula, where Ec is kinetic energy, m is mass, v is velocity in m/s. Remember that 72 km/h is 20 m/s.

\(\begin{gathered}\Large \text {$ \sf Ec = \dfrac {m \times v^2}{2} $}\\\\\Large \text {$ \sf Ec = \dfrac {2000 \times 20^2}{2} = 400000 $ J}\end{gathered}\)

Answer:

400 000 joules

Explanation:

Kinetic energy is measured in joules which has units of  kg - m^2 / s^2

so you will need to convert 72 km/hr to   m/ s

   =    72000 m / 3600 s = 20 m/s

KE = 1/2 m v^2

    = 1/2 (2000)(20^2) = 400 000 Joules

increases its speed from 4 rad/s to 12 rad/s in 4 s. through what angle does it turn during that time interval if the angular acceleration is constant.

Answers

The angle through which it turn during that time interval if the angular acceleration is constant is 32 rad.

Angular displacement is defined as “the angle in radians (degrees, revolutions) through which a point or line has been rotated in a specified sense about a specified axis”. It is the angle of the movement of a body in a circular path.

The angular displacement will be

= average angular velocity × time period

=( final angular velocity + initial angular velocity/ 2) × time period

=( 12rad/s + 4rad/s/2 ) × (4 s)

= 8 × 4 rad

= 32rad.

Therefore, it turn through an angle of 32rad during that time interval.

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An entertainer pulls a table cloth off a table leaving behind the plates and sliverware undisturbed is an example of
A.
the law of balanced forces
B.
Newton's second law
C.
Newton's third law
D.
Newton's first law

Answers

Answer:

d.) Newton's first law

Explanation:

This is also called the law of inertia, which means that an object in motion will not stop unless a force is acted upon it, and vice versa. Try this out with a piece of paper and a quarter. Pull the paper from under the quarter slightly quick, and the quarter will stay on the table. Hope i helped you.

Alejandro has collected over 35 studies focusing on the impact of vitamin C on a person's cold duration. He hopes to combine these findings and draw a general conclusion regarding the usefulness of the vitamin. Alejandro is using the statistical tool of:

Answers

Since Alejandro hopes to combine the findings from the collected studies and draw a general conclusion regarding the subject, he is using statistical tool of inference.

There are basically 2 types of statistical tools:

Descriptive statistical toolsInferential statistical tools

Descriptive tools are used to describe data. They include the use of tables, graphs, measures of dispersion, measures of central tendencies, etc.

Inferential tools are used to deduce conclusions from data. They include measures of significant differences, probability, correlation and regression, etc.

In this case, Alejandro would need to subject the data collected from the 35 studies to inferential statistical analysis tools in order to be able to make relevant conclusions.

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A hot-air balloon is ascending at a rate of 7.5m/s when a passenger drops a camera. If the camera is 27m above the ground when its dropped, how much time does it take for the camera to reach the ground? What is its velocity just before it lands?

Answers

Answer:

v_{f}=21.75[m/s] (velocity just before it lands)

t = 2.98 [s]

Explanation:

The key to solving this problem is the initial velocity since when the camera falls it is moving up, we will take this velocity as negative and the acceleration gravitation down as positive.

We will use the following equation of kinematics to solve this problem.

\(V_{f}^{2} =V_{o}^{2}+2*g*y\)

where:

Vf = final velocity [m/s²]

Vo = initial velocity = 7.5 [m/s]

g = gravity acceleration = 9.81 [m/s²]

y = elevation = 27 [m]

\(v_{f}^{2} = - (7.5)^{2} +(2*9.81*27)\\ v_{f}^{2} = 473.5\\v_{f}=\sqrt{473.5}\\v_{f}=21.75[m/s]\)

Now using the following equation of kinematics, we can calculate the time that the fall lasts.

\(v_{f}=v_{o}+g*t\)

\(21.75 = -7.5 +9.81*t\\9.81*t = 29.25\\t = 2.98[s]\)

Is there an equal and opposite reaction for every action?

Answers

Answer: Yes it is true according o newton third law of motion

What is Newton Third Law of motion ?

--According to Newton's third law of motion, every action has an equal and opposite reaction.

--These two forces act on two different bodies.

-- Example,

1-  while swimming, you push the water backward. The water, in turn, pushes you forward.

--Similarly, while walking, you push the ground backward.

-- The ground then exerts a reaction force on you in the forward direction.

What is Newton Second Law of motion ?

--Newton's second law of motion states that “Force is equal to the rate of change of momentum.

--For a constant mass, force equals mass times acceleration.

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A 60 litre steel gasoline tank is full of gas, so that both the tank and the gasoline
have a temperature of 15 °C. The amount of gasoline has been spilled by the time
they warm up to 35 °C will be:
(A) 50.2 litre
(B) 1.10 litre
(D) None
(C) 3.26 litre

Answers

Answer:

To solve this problem, we need to use the coefficient of thermal expansion for gasoline, which tells us how much the volume of gasoline will increase as its temperature increases. The coefficient of thermal expansion for gasoline is approximately 950 x 10^-6 /°C.

Using this information, we can calculate the increase in volume of gasoline as it warms up from 15°C to 35°C:

ΔV = V * α * ΔT

where V is the initial volume of gasoline (60 L), α is the coefficient of thermal expansion for gasoline (950 x 10^-6 /°C), and ΔT is the change in temperature (20°C).

ΔV = 60 * 950 x 10^-6 * 20

ΔV = 0.114 L

Therefore, the amount of gasoline spilled as it warms up from 15°C to 35°C is:

60 L - 0.114 L = 59.886 L

Explanation:

So the answer is (A) 50.2 litre.

What is Newtons third law of motion? ​

Answers

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction. Explanation:

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction

Explanation:

In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Notice that the forces are exerted on different objects.

Energy of an object by virtue of its position is called _____________.A. Solar energyB. Mechanical energyC. Muscular energyD. Potential energy

Answers

Answer: D. Potential energy

Explanation: science

Which source should you NOT consult to validate an advertisement's claim?
A.
peer-reviewed scientific journals
B.
websites of government agencies
C.
your doctor
D.
website of the product manufacturer

Answers

Answer:

I believe D

Explanation:

Of course the manufacturer would most likely be biased to the product the have created, but the other sources would have no reason to. Hope this helps!

a car that is initially moving at 7.50 m/s begins to accelerate forward uniformly at 0.550 m/s2 . a. how long after beginning to accelerate does it take the car to move 3.50 km? b. how fast is the car moving just as it has traveled 3.50 km

Answers

The car, which needs time after beginning to accelerate to move 3.5km, will take 100 seconds.

The car will move as it has traveled 3.50 km at 62.5 m/s.

Question A

How long after beginning to accelerate does it take the car to move 3.5km?

Vi = car initial velocity

a = increase in velocity of the car per second

s = distance travelled by the accelerating car in time t

VF = velocity of the accelerating car at time t

Since acceleration is constant (accelerate forward uniformly from question), we will use kinematic equations.

Velocity Final = Vi + acceleration * time

s = Vi * t + 1/2 * acceleration * time²

Velocity Final² = Vi² + 2 * acceleration * distance (s)

Given from question

Vi = 7.5 m/s

a = 0.55 m/s²

s = 3.5km

t = ?

S = Vi * t + 1/2 * acceleration * time²

3500m = 7.5m/s * t + 1/2 * 0.55 * t²

0.55t² + 15t - 7000 = 0

We will use roots of a quadratic equation to find t

ax² + bx + c = 0

x = (-b ± (√b² - 4*ac)) / 2a

t = (-15 ± (√15² + 4 * 0.55 * 7000)) / 2 * 0.55

t = -15 ± 125 / 1.1

t = -140 / 1.1 ║t = 110 / 1.1

t = -127.27 ; 100

So, the equation of 0.55t² + 15t - 7000 = 0 is satisfied with two values of t = -127.27 & 100

Since, we are talking about time, we will eliminate minus value and we will use the positive value.

Therefore, the time needs to accelerate to move the car by 3.5km after the beginning is 100 seconds.

Question B

Given from question

S = 3.5km = 3500m

Velocity Final = ?

Velocity Final² = Vi² + 2*acceleration*distance (s)

Velocity Final² = 7.5² + 2 * 0.55 * 3500

Velocity Final² = 3,906.25

Velocity Final = 62.5m/s

Since we already found the accelerating car travelled 3500m in 100s. we could also use the other formula :
Velocity Final = Vi + acceleration * time

= 7.5 + (0.55*100)

= 62.5 m/s

Therefore, the car is moving 62.5m/s after traveled 3.50km.

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