One mole of an ideal gas undergoes a process whose process equation is given as $P=\frac{P_0}{1+{\left(\frac{V_0}{V}\right)}^2}$ Here $P_0$ and $V_0$ are constants. When the volume of gas is changed from $V_0$ to $2V_0$, temperature of the gas is changed by $\left[\frac{11P_0{V}_0}{2NR}\right]$ Find $N$ (R is universal gas constant)