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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