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Q.

Three moles on an ideal mono-atomic gas perform a cycle shown in figure. The gas temperature at different states are T1 = 400 k, T2 = 2400 k and T4 = 1200 k. Heat supplied to the gas is

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a

45000 R

b

60000 R

c

55000 R

d

80000 R

answer is A.

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Detailed Solution

As 1-2 and 3-4 processes are isochoric,   V1=V2  and  V3=V4T3T2=V3V2=V4V1=T4T1⇒   T3= T2 . T4 T1= 2400  ×  1200400 k=7200  k∴   Q1=Heat  supplied  =  3.3R2. 2400−400+3.5R2. 7200−2400Q1=  9000 R  + 360,00  R=45000  R
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