Among the following,the number of state variables is $.....$
Internal energy $(U)$; Volume $(V)$; Heat $(q)$; Enthalpy $(H)$

The number of extensive and intensive properties in the list given below is respectively: density,enthalpy,mass,temperature,volume,pressure.

Increase in enthalpy of the surroundings is equal to decrease in enthalpy of the system. Will the temperature of system and surroundings be the same when they are in thermal equilibrium?

When $5 \ mol$ of $He$ gas expand isothermally and reversibly at $300 \ K$ from $10 \ L$ to $20 \ L,$ the magnitude of the maximum work obtained is $....... \ J$. [nearest integer] (Given: $R = 8.3 \ J \ K^{-1} \ mol^{-1}$ and $\log 2 = 0.3010$)

Identify the correct statements from the following:
$I$) Work is a path function.
$II$) Enthalpy is an extensive property.
$III$) Lattice enthalpy of ionic compounds can be obtained from Born-Haber cycle.

Which is not the correct relation between enthalpy $(\Delta H)$ and internal energy $(\Delta E)$?