The change in internal energy of the gas is -9 J
Explanation:
First of all, we need to calculate the amount of work done by the gas. This is given by the equation:
where
is the gas pressure
is the final volume of the gas
is the initial volume of the gas
Substituting, we find:
Now we can apply the 1st law of thermodynamics to calculate the change in internal energy of the gas:
where
is the change in internal energy of the gas
Q = -45 J is the heat released by the gas (negative because it is given off bu the system)
W = -36 J is the work done by the gas (negative because it is done by the surrounding on the gas)
Substituting, we find:
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