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Question

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


A
10J
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B
4J
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C
10J
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D
4J
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Solution

The correct option is C $$4 \,J$$
Explanation:
For this problem, use the first law of thermodynamics. The change in energy equals the increase in heat energy minus the work done.
$$\Delta U = Q - W$$
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.
$$W = F \Delta x$$
$$W = 3N \times 2m$$
$$W = 6\,J$$
Now that we have the value of work done and the value for heat added, we can solve for the total change in energy.
$$\Delta U = Q - W$$
$$\Delta U = 10\,J - 6\,J$$
$$\Delta U = 4\,J$$

Physics

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