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:
[tex]\Delta U = Q-W[/tex]
where:
[tex]\Delta U[/tex] 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:
[tex]\Delta U = +4736 J[/tex] is the increase in internal energy of the gas
[tex]W=+750 J[/tex] 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:
[tex]Q=\Delta U + W = 4736+750=5486 J[/tex]
And the positive sign tells us that this heat is absorbed by the gas.
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