High School Physics : Understanding the First Law of Thermodynamics

Study concepts, example questions & explanations for High School Physics

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Example Questions

Example Question #1 : Laws Of Thermodynamics

A gas in a closed container is heated with \(\displaystyle 10J\) of energy, causing the lid of the container to rise \(\displaystyle 2m\) with \(\displaystyle 3N\) of force. What is the total change in energy of the system?

Possible Answers:

\(\displaystyle 8J\)

\(\displaystyle 6J\)

\(\displaystyle -4J\)

\(\displaystyle 4J\)

\(\displaystyle 10J\)

Correct answer:

\(\displaystyle 4J\)

Explanation:

For this problem, use the first law of thermodynamics. The change in energy equals the increase in heat energy minus the work done.

\(\displaystyle \Delta U=Q-W\)

We are not given a value for work, but we can solve for it using the force and distance. Work is the product of force and displacement.

\(\displaystyle W=F \Delta x\)

\(\displaystyle W=3N* 2m\)

\(\displaystyle W=6J\)

Now that we have the value of work done and the value for heat added, we can solve for the total change in energy.

\(\displaystyle \Delta U=Q-W\)

\(\displaystyle \Delta U = 10J - 6J\)

\(\displaystyle \Delta U = 4J\)

 

Example Question #2 : Thermodynamics

A gas in a closed container is heated, causing the lid of the container to rise. The gas performs \(\displaystyle 3J\) of work to raise the lid, such that is has a final total energy of \(\displaystyle 15J\). How much heat energy was added to the system?

Possible Answers:

\(\displaystyle 12J\)

\(\displaystyle 5J\)

\(\displaystyle 18J\)

\(\displaystyle 45J\)

\(\displaystyle 50J\)

Correct answer:

\(\displaystyle 18J\)

Explanation:

For this problem, use the first law of thermodynamics. The change in energy equals the increase in heat energy minus the work done.

\(\displaystyle \Delta U=Q-W\)

We are given the amount of work done by the gas and the total energy of the system. Using these values, we can solve for the heat added.

\(\displaystyle \Delta U=Q-W\)

\(\displaystyle 15J = Q - 3J\)

\(\displaystyle 18J=Q\)

 

Example Question #3 : Thermodynamics

A gas in a closed container is heated with \(\displaystyle 50J\) of energy, causing the lid of the container to rise. If the change in energy of the system is \(\displaystyle 30J\), how much work was done by the system?

Possible Answers:

\(\displaystyle 0.6J\)

\(\displaystyle 80J\)

\(\displaystyle 30J\)

\(\displaystyle 20J\)

\(\displaystyle 50J\)

Correct answer:

\(\displaystyle 20J\)

Explanation:

For this problem, use the first law of thermodynamics. The change in energy equals the increase in heat energy minus the work done.

\(\displaystyle \Delta U=Q-W\)

We are given the total change in energy and the original amount of heat added. Using these values, we can solve for the work done by the system.

\(\displaystyle 30J = 50J - W\)

\(\displaystyle -20J=-W\)

\(\displaystyle 20J=W\)

 

Example Question #1 : Understanding The First Law Of Thermodynamics

Which of the following represents the first law of thermodynamics?

Possible Answers:

If a refrigerator is unplugged, eventually everything inside of it will return to room temperature

Two systems in equilibrium with a third system are in equilibrium with each other

While melting, an ice cube remains at the same temperature

After falling down the hill, a ball's kinetic energy plus heat energy equals the initial potential energy

The specific heat of an object explains how easily it changes temperatures

Correct answer:

After falling down the hill, a ball's kinetic energy plus heat energy equals the initial potential energy

Explanation:

The first law of thermodynamics is another wording of the law of conservation of energy. Effectively it states that energy cannot be created or destroyed, but it can change forms.

This means that, in the given situation of the ball rolling down the hill, the total initial energy equals the final kinetic energy plus heat.

The zeroth law of thermodynamics states that if a system is in equilibrium with two other systems, then the two other systems are in equilibrium with each other.

The second law of thermodynamics states that the entropy of a closed system will always increase.

The third law of thermodynamics states that absolute zero is the temperature at which entropy is zero.

Example Question #1 : Understanding The First Law Of Thermodynamics

According to the first law of thermodynamics, in an isothermal process __________.

Possible Answers:

temperature is not affected by the pressure or volume changes of the system

temperature is not affected by the internal energy of the system, work, or heat

internal energy of the system fluctuates and there exists an imbalance between work and heat

it can be implied that heat added to the system is equal to work done by the system

a constant amount of heat is added to the system

Correct answer:

it can be implied that heat added to the system is equal to work done by the system

Explanation:

According to the first law of thermodynamics, change in internal energy of a closed system is given by the difference between the heat energy added to the system and the work done by the system:

\(\displaystyle \bigtriangleup U = Q - W\)

In an isothermal process, temperature is constant. Temperature is a measure of internal energy of the system. If temperature is constant, then there is no fluctuation of internal energy.

\(\displaystyle 0J=Q-W\)

It can be implied that heat added to the system is equal to work done by the system.

\(\displaystyle Q=-W\)

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