Heat and Thermal ExpansionHard

Question

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

Options

A.In process CA change in internal energy is 225R.
B.In process AB change in internal energy is - 150 R.
C.In process AB change in internal energy is - 225 R.
D.Change in internal energy during the whole cyclic process is + 150 R

Solution

Ans (C)
ᐃUCA = nCV(TA - TC)
1 × R × (300 - 450) = (- 225R)
ᐃUAB = nCV (TB - TA)
1 × R × (600 - 300) = + 450 R
ᐃUBC = nCV (TC - TB)
1 × R × (450 - 600) = - 225R
ᐃUABCA = ᐃUCA = ᐃUAB = ᐃUBC = 0

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