For adiabatic processes $\left( {\gamma = \frac{{{C_p}}}{{{C_v}}}} \right)$

Write equation for work done for compression for an ideal gas.

A balloon filled with helium $\left(32^{\circ} C \right.$ and $1.7\; atm$.) bursts. Immediately afterwards the expansion of helium can be considered as

$Assertion :$ When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
$Reason :$ Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.

If $\gamma $ denotes the ratio of two specific heats of a gas, the ratio of slopes of adiabatic and isothermal $PV$ curves at their point of intersection is