Question
Explain, why it is not possible to increase the temperature of a gas while keeping its volume and pressure constant?

Answer

According to kinetic theory of gases,

$\text{P}=\frac{1}{3}\rho\text{C}^2=\frac{1}{3}\frac{\text{M}}{\text{V}}\text{C}^2=\frac{1}{3}\frac{\text{M}}{\text{V}}\text{KT}$ ($\because$ C2 = KT. when K is constanst)

$\therefore\text{T}\propto\text{PV}$

Now as T is directly proportional to the product of P and V. If P and V are constant, then T is also constant.

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