Work, Heat, Energy — Prelims Questions

An ideal gas expands isothermally and reversibly from $10,\text{L}$ to $20,\text{L}$ at $300,\text{K}$. If the number of moles of gas is $2$, calculate the work done by the gas. (Given: $R = 8.314,\text{J mol}^{-1}\text{K}^{-1}$)

A system absorbs $500,\text{J}$ of heat and performs $200,\text{J}$ of work on the surroundings. What is the change in internal energy ($Delta U$) of the system?

Which of the following statements is INCORRECT regarding internal energy ($U$)?

A gas is compressed from $5,\text{L}$ to $2,\text{L}$ against a constant external pressure of $2,\text{atm}$. During this process, the system releases $100,\text{J}$ of heat. Calculate the change in internal energy ($Delta U$) of the system. (Given: $1,\text{L atm} = 101.3,\text{J}$)

An ideal gas undergoes an adiabatic expansion. Which of the following statements is TRUE?

Which of the following processes results in $Delta U = q$?