1.

A diatomic ideal gas undergoes a thermodynainic change according to the P-V diagram shown in figure, The total heat given to the gas is nearly

Answer»

`2.5 P_(0)V_(0)`
`1.4 P_(0)V_(0)`
`3.9 P_(0)V_(0)`
`1.1P_(0)V_(0)`

Solution :`Q_(AB) = DELTA U_(AB) + W_(AB) W_(AB) = 0 `
`Delta U_(AB) = n C_(V) Delta T `
` RARR Delta U _(AB) = 5/2 (Delta PV)`
`:. Q_(AB) = 2.5 P_(0)V_(0) `

PROCESS `BC, Q_(BC) = Delta U_(BC) + W_(BC)`
`rArr Q_(BC) = 0 + 2 P_(0)V_(0) log 2 = 1.4 P_(0)V_(0)`
` :. ` Total heat given to the GAS is ,
`Q_("net") = Q_(AB) + Q_(BC) = 3.9 P_(0)V_(0)`


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