Heat and Thermodynamics 5 Question 16

17. One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in figure. The process BC is adiabatic. The temperatures at A,B and C are 400K,800K and 600K, respectively. Choose the correct statement.

(2014 Main)

(a) The change in internal energy in whole cyclic process is 250R

(b) The change in internal energy in the process CA is 700R

(c) The change in internal energy in the process AB is 350R

(d) The change in internal energy in the process BC is 500R

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Solution:

  1. According to first law of thermodynamics, we get

(i) Change in internal energy from A to B i.e. ΔUAB

ΔUAB=nCV(TBTA)=1×5R2(800400)=1000R

(ii) Change in internal energy from B to C

ΔUBC=nCV(TCTB)=1×5R2(600800)=500R

(iii) ΔUisothermal =0

(iv) Change in internal energy from C to A i.e. ΔUCA

ΔUCA=nCV(TATC)=1×5R2(400600)=500R



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