Final answer:
To find the work done on the gas, use the formula Work = pressure x change in volume. Given the pressure, initial and final temperatures, and the ideal gas law, you can calculate the initial and final volumes. Substituting these values into the work formula will give you the answer. To find the work done by the gas, multiply the work done on the gas by -1.
Step-by-step explanation:
To find the work done on the gas, we can use the formula:
Work = pressure x change in volume
Given that the pressure is 2 atm and the initial and final temperatures are 300 K and 350 K respectively, we can use the ideal gas law to find the initial and final volumes:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
By rearranging the formula, we can solve for the initial and final volumes:
V₁ = (nRT₁) / P
V₂ = (nRT₂) / P
Using these values, we can calculate the work done on the gas:
Work on gas = P x (V₂ - V₁)
Therefore, the work done on the gas is 1220 J.
To find the work done by the gas, we can use the formula:
Work by gas = -Work on gas
Therefore, the work done by the gas is -1220 J.