The work done by the gas is 25.1 J
Explanation:
The change in internal energy of a diatomic gas is given by the equation

where:
n is the number of moles
R is the gas constant
is the change in temperature
For the gas in this problem:
n = 0.222 mol


Substituting,

Now we can find the work done by the gas using the 1st law of thermodynamics:

where:
Q = +80.5 J is the heat added to the gas
is the change in internal energy
W is the work done by the gas
And solving for W,

And since it is positive, it means that the work is done BY the gas.
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