For adiabatic process, wrong statement is

Check the statement are trrue or false :

$1.$ For an adiabatic process $T{V^{\gamma  - 1}}$ $=$ constant.

$2.$ Charging process of battery is a reversible process.

$3.$ Water falls below from height is a reversible process.

$4.$ Internal energy, volume and mass are intensive variable while pressure, temperature and density are extensive variables.

The equation of state for a gas is given by $PV = nRT + \alpha V$, where $n$ is the number of moles and $\alpha $ is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are $T_o$ and $P_o$ respectively. The work done by the gas when its temperature doubles isobarically will be

$Assertion :$ Air quickly leaking out of a balloon becomes cooler.
$Reason :$ The leaking air undergoes adiabatic expansion.

The process in which no heat enters or leaves the system is termed as

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