First Law of Thermodynamics

A tyre pumped to a pressure of $2$ atmosphere, suddenly bursts. If the temperature of air before expansion is $27°C$, then the final temperature of air is use $\left.\frac{Cp}{Cv}=1.5,2^{1/3}=1.2\right]$

In an isothermal process if heat is supplied to an ideal gas, then

In an adiabatic process the volume is decreased by $\frac{9}{16}\%.$ If $\frac{C_p}{C_V}=\frac{4}{3}$, then the pressure is increased by

An insulated rectangular container carrying gas is filled with a movable piston. The dimension of the piston is $10 \mathrm{cm}\times 20 \mathrm{cm}\times 1 \mathrm{cm}.$ The density of the material of which the piston is made is $8 \mathrm{g} {\mathrm{cm}}^{-3}$. If the gas expands, lifting the piston by, $10 \mathrm{cm},$ what is the change in the internal energy of the gas?
[Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$]

A gas undergoes a thermodynamic cycle as shown in pressure-volume diagram below. The heat transferred to the gas is $300 \mathrm{J}$ and $140 \mathrm{J}$ along path $1\to 2$ and $2\to 3$ respectively. The internal energy is changed by $-260 \mathrm{J}$ along path $3\to 1.$ The work done by gas along path $1\to 2\to 3$ is