The heat absorbed by the gas is 5486 J
Explanation:
We can solve this problem by using the 1st law of thermodynamics, which states that the change in internal energy of a gas is given by:

where:
is the change in internal energy
Q is the heat absorbed by the gas
W is the work done by the gas
In this problem, we have:
is the increase in internal energy of the gas
is the work done by the gas (positive because the gas is doing work on the surroundings, by expanding)
Solving for Q, we find the heat needed:

And the positive sign tells us that this heat is absorbed by the gas.
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