$A$ sample of gas absorbs $4000 \ kJ$ of heat and the surrounding does $2000 \ J$ of work on the sample. What is the value of $\Delta U$ (in $kJ$)?

When a gas undergoes adiabatic expansion,it gets cooled due to

In a cylinder,$1.0 \, \text{kcal}$ of heat is added to $1.2 \, \text{L}$ of $O_2$ gas at a constant pressure of $1 \, \text{atm}$. The volume changes to $1.5 \, \text{L}$. Calculate the change in internal energy $(\Delta U)$ for this process. (in $, \text{kcal}$)

During a process,a system absorbs $710 \ J$ of heat and increases its internal energy by $460 \ J$. What is the work performed by the system (in $J$)?

What is the final temperature of $0.10 \, mol$ monoatomic ideal gas that performs $75 \, cal$ of work adiabatically if the initial temperature is $227 \, ^oC$? .......$K$ (use $R = 2 \, cal \cdot K^{-1} \cdot mol^{-1}$)

When $1 \ mole$ of gas is heated at constant volume and heat supplied is $500 \ J$,then which of the following is correct?