Answer:
26 L
Explanation:
According to the first law of thermodynamics, for an ideal gas:
where
is the change in internal energy of the gas
Q is the heat absorbed by the gas
W is the work done by the gas
The internal energy of a gas depends only on its temperature. Here the temperature of the gas is kept constant (330 K), so the internal energy does not change, therefore
So we have
The heat added to the gas is
So this is also equal to the work done by the gas:
For a process at constant temperature, the work done by the gas is given by
where:
n is the number of moles
R is the gas constant
T is the temperature of the gas
is the initial volume
is the final volume
In this problem, we have:
W = 1700 J is the work done by the gas
n = 2.00 mol
T = 300 K is the gas temperature
is the initial volume of the gas
And solving the equation for V2, we find the final volume of the gas: