The work done by an ideal gas of 2 moles in increasing its volume from V to 2 V at constant temperature T is W . The work done by an ideal gas of 4 moles in increasing its volume from V to 8 V at constant temperature T 2 is

Step-by-step solution

aligned & n ₁=2 moles, vol = V to 2 ~V , ~T ₁= T , W ₁= W & n ₂=4 moles, vol = V to 8 ~V , ~T ₂= T 2 , ~W ₂=? aligned The work done by ideal gas at constant temperature is W = nRT V ₂ ~V ₁ aligned & W ₁= W =2 RT 2 ~V ~V =2 RT 2 & ~W ₂=4 R T 2 8 ~V ~V =2 RT 8=6 RT ₂ aligned =3 (2 RT ^2 )=3 ~W