The relation between $\Delta E$ and $\Delta H$ is

The work done when $2 \ mol$ of an ideal gas expands reversibly and isothermally from a volume of $1 \ L$ to $10 \ L$ at $300 \ K$ is $(R = 0.0083 \ kJ \ K^{-1} \ mol^{-1})$ (in $kJ$)

Although heat is a path function,heat absorbed by the system under certain specific conditions is independent of path. What are those conditions? Explain.

Name the energy which arises due to the motion of atoms or molecules in a body. How is this energy affected when the temperature is increased?

$1 \ mol$ of an ideal gas expands isothermally and reversibly by decreasing pressure from $210 \ kPa$ to $105 \ kPa$ at $300 \ K$. What is the work done (in $J$)? $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$

For the process to occur under adiabatic conditions,the correct condition is: