When $1$ mole gas is heated at constant volume, temperature is raised from $298K$ to $308K$. Heat supplied to the gas is $500J$. Then which statement is correct?

Q. Calculate $q,w,\Delta U$ for the isothermal reversible expansion of 1 mole of an ideal gas from an initial pressure of $1.0bar$ to a final pressure of $0.1bar$ at a constant temperature of $273K$.

Q. Two mole of ideal diatomic gas $(C_{v,m}=\frac{5}{2}R)$ at 300 K and 5 atm expanded irreversly and adiabatically to a final pressure of 2 atm against a constant pressure of 1 atm. Calculate q, w, $\Delta H$ and $\Delta U.$

Q. No heat is lost or gained by the system to or from the surroundings but, work $W$ is done on the system. Which of the following statements is correct?

Q. A gas sample is cooled and loses 65 J of heat. The gas contracts as it cools and work done on the system equal to 20 J. What are q, w and $△U$ ?