P-V curve of a diatomic gas is shown in the Fig. Find the total heat given to the gas in the process `A rarr B rarr C`

Explanation

From first law of thermodynamics
`Delta Q_(ABC) = Delta U_(ABC) + Delta W_(ABC)`
`Delta W_(ABC) = Delta W_(AB) + Delta W_(BC) = 0 + n RT_(B) 1n (V_(C ))/(V_(0)) = nRT_(B) 1n (2V_(0))/(V_(0))`
`= nRT_(B) 1n2 = 2P_(0) V_(0) 1n2`
`Delta U = nC_(v) Delta T = (5)/(2) (2P_(0) V_(0) - P_(0) V_(0))`
`implies Delta Q_(ABC) = (5)/(2) P_(0) V_(0) + 2 P_(0) V_(0) 1n2`