1.

One mole of ideal gas undergoes a cyclic process ACBA as shown in figure. Process AC is adiabatic. The temperatures at 1, B and C are 300 K,600 K and 450 K respectively. Choose the correct statement.

Answer»

In process CA, change in internal energy is 225 R.
In process AB, change in internal energy is -150 R
In process BC, change in intenal energy is -225 R.
Change in internal energy during the whole cyclic process is `+150` R.

Solution :`Delta U_(AC) = nC_(V) (T_(C) - T_(A))`
` = 1 XX 3/2 R xx (450 - 300) = 225 R`
` Delta U_(BA) = nC_(V) (T_(A) - T_(B)) = 1 xx 3/2 R xx (300 - 600) = - 450 R`
` Delta U_(CB) = nC_(V) (T_(B) - T_(C)) = 1 xx 3/2 R xx (600 - 450) = + 225 R`
` Delta U_(ABCA) = Delta U_(CA) + Delta U_(AB) + Delta U_(BC) = 0 `


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