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Question:

A gas is enclosed in a cylinder fitted with a light frictionless piston and maintained at atmospheric pressure. When 254 kcal of heat is added to the gas, the volume is observed to increase slowly from $12.0 \textrm{ m}^3$ to $16.2 \textrm{ m}^3$. Calculate

1. the work done by the gas and
2. the change in internal energy of the gas.

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

1. $4.25 \times 10^5 \textrm{ J}$
2. $6.38 \times 10^5 \textrm{ J}$