Thermodynamics — Prelims Questions

A gas is compressed adiabatically from an initial volume of $2,\text{m}^3$ to a final volume of $0.5,\text{m}^3$. If the initial pressure is $10^5,\text{Pa}$ and the adiabatic index $gamma = 1.4$, what is the final pressure of the gas?

A heat engine operates between temperatures of $527^circ\text{C}$ and $127^circ\text{C}$. What is the maximum possible efficiency of this engine?

An ideal gas undergoes an isobaric expansion from volume $V_1$ to $V_2$. If the pressure is $P$, what is the work done by the gas?

According to the First Law of Thermodynamics, if $150,\text{J}$ of heat is added to a system and the system does $50,\text{J}$ of work, what is the change in the internal energy of the system?

Which of the following processes has zero work done?

A refrigerator has a coefficient of performance (COP) of 5. If it extracts $100,\text{J}$ of heat from the cold reservoir in one cycle, how much work is done on the refrigerator?