First Law of Thermodynamics — Prelims Questions

A gas expands from $10,\text{L}$ to $20,\text{L}$ against a constant external pressure of $2,\text{atm}$. During this process, it absorbs $300,\text{J}$ of heat. Calculate the change in internal energy ($Delta U$) of the system. (Given: $1,\text{L atm} = 101.3,\text{J}$)

For an ideal gas undergoing a reversible isothermal expansion, which of the following statements is correct?

A system performs $150,\text{J}$ of work on its surroundings and absorbs $50,\text{J}$ of heat. What is the change in internal energy of the system?

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

One mole of an ideal gas at $27^circ\text{C}$ is allowed to expand reversibly and isothermally from an initial volume of $1,\text{L}$ to a final volume of $10,\text{L}$. Calculate the heat absorbed by the gas. (Given: $R = 8.314,\text{J mol}^{-1}\text{K}^{-1}$)

For a cyclic process, which of the following is always true?