When 2 moles of a monatomic gas expands adiabatically from a temperature of 80^ C to 50^ C , the work done is W . The work done when 3 moles of a diatomic gas expands adiabatically from 50^ C to 20^ C , is

Step-by-step solution

For adiabatic expansion of monoatomic gas T ₁=80^ C , aligned & T ₂=50^ C , n =2 moles, f =3 & ~W =- u =- f 2 nR ~T = 3 2 2 R (80-50) & =90 R aligned For adiabatic expansion of diatomic gas, aligned & T ₁=50^ C , ~T ₂=20^ C , n =3 moles, f =5 & ~W ^ =- f 2 nR ~T = 5 2 3 R (50-20) & = 5 2 (90 R )=2.5 ~W aligned