Four curves $A, B, C$ and $D$ are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are

In adiabatic expansion of a gas

During an adiabatic compression, $830\, J$ of work is done on $2\, moles$ of a diatomic ideal gas to reduce its volume by $50\%$. The change in its temperahture is nearly….. $K$ $(R\, = 8.3\, J\,K^{-1}\, mol^{-1} )$

A gas at $NTP$ is suddenly compressed to one-fourth of its original volume. If $\gamma $ is supposed to be $\frac{3}{2}$, then the final pressure is…….. atmosphere

Consider that an ideal gas ($n$ moles) is expanding in a process given by $P = f (V)$, which passes through a point $(V_0, \,p_0)$. Show that the gas is absorbing heat at $(p_0,\, V_0)$ if the slope of the curve $P = f (V)$ is larger than the slope of the adiabatic passing through $(p_0,\, V_0)$.