Engine Operational
GATE CH 2020 (with Solutions).pdf

Q34

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ConsidertwocarnotenginesC1andC2asshowninthefigure.ReservoirR1C1ReservoirR2C2Consider two carnot engines C_1 andC_2 as shown in the figure. Reservoir R1 C 1 Reservoir R2 C 2
ReservoirR3/are0.40and0
..

Options

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Answer

312

Solution

T3=?T_3 = ?
n1=1/fracT2T1n_1 = 1-/frac{T_2}{T_1}
0.4=1/fracT28000.4 = 1-/frac{T_2}{800}
..
n2=1/fracT3T2⇒n_2 = 1-/frac{T_3}{T_2}
0.35=1/fracT34/theta00.35 = 1-/frac{T_3}{4/theta{}_0}
0.65=/fracT3480⇒0.65 = /frac{T_3}{480}
T3=312K⇒T_3 = 312K
Hence, the correct answer is 312.

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