How much heat is needed to increase the internal energy of a gas in a piston by 4,736J if the gas does 750J of work on the environment by expanding the process

Respuesta :

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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