We can take the gas through a thermodynamic cycle by making

We can take the gas through a thermodynamic cycle by making it undergo a series of reversible processes. Using the ideal gas law you will derive the thermodynamic relations for: An isothermal process (ans. P_1V_1 = P_2V_2)

Solution

Ideal gas equation PV = nRT

PV/nRT = constant

(Or) P1V1/nRT1 = P2V2/nRT2

For an isothermal process , temprature remains constant.

i.e., T1=T2

So, P1V1/nRT1 =P2V2/nRT1

       P1V1=P2V2