A thermodynamic cycle $xyzx$ is shown on a $V-T$ diagram.

The $P-V$ diagram that best describes this cycle is

(Diagrams are schematic and not to scale)

When air of the atmosphere rises up it cools. Why ?

The pressure in the tyre of a car is four times the atmospheric pressure at $300 K$. If this tyre suddenly bursts, its new temperature will be $(\gamma = 1.4)$

A tyre filled with air $({27^o}C,$ and $2$ atm) bursts, then what is temperature of air ....... $^oC$ $(\gamma = 1.5)$

A cycle followed by an engine (made of one mole of an ideal gas in a cylinder with a piston) is shown in figure. Find heat exchanged by the engine, with the surroundings for each section of the cycle.${C_v} = \frac{3}{2}R$

$(a)$ $A$ to $B$ : constant volume

$(b)$ $B$ to $C$ : constant pressure

$(c)$ $C$ to $D$ : adiabatic

$(d)$ $D$ to $A$ : constant pressure

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