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Question

A rigid storage tank of 2.5 m3 contains 3 kg argon at 28C, heat is then transferred to the argon from a furnace maintained at 1200C untill the specific entropy of the argon gas is increased by 0.343 kJ/kgK. what is the percentage increase in absolute temperature of argon gas during the process? Take Cv=0.312 kJ/kgK,R=0.20 kJ/kgK for argon gas

A
50%
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B
100%
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C
200%
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D
400%
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Solution

The correct option is C 200%
Since the storage is rigid
V=C
During heat addition
for process 1-2

s2=s1+0.343
also s2s1=cv ln(T2T1)

0.343=cv ln(T2T1)

0.343=0.312 ln(T2T1)

T2T1=e0.3430.312

=e(1.09936)

=3.0

(T2T11)×100=(31)×100

T2T1T1%=200%

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