Identify the correct equation relating enthalpy $(H)$ and internal energy $(E)$.

Work done when $2 \ mol$ of an ideal gas is compressed from a volume of $5 \ m^{3}$ to $2.5 \ m^{3}$ at $300 \ K$, under a constant external pressure of $100 \ kPa$ is: (in $kJ$)

Two moles of an ideal gas is expanded isothermally from a volume of $300 \ cm^3$ to $2.5 \ dm^3$ at $298 \ K$ against a constant pressure of $1.9 \ bar$. Calculate the work done in joules. (in $J$)

An ice cube placed in an ideal thermos flask represents a/an ...... system.

Calculate the final temperature of a monoatomic ideal gas that is compressed reversibly and adiabatically from $16 \, L$ to $2 \, L$ at $300 \, K$. (in $, K$)

Extensive properties depend on the quantity of matter,while intensive properties do not. Classify the following properties as extensive or intensive:
Mass,internal energy,pressure,heat capacity,molar heat capacity,density,mole fraction,specific heat,temperature,and molarity.