Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermodynamicsMedium2 minQB

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Passage / Comprehension

A sample of ideal gas is taken through the cyclic process shown in the figure. The temperature of the gas at state A is $T_{A} = 200$ K. At states B and C the temperature of the gas is the same.

What is the greatest temperature of the gas during the cyclic process?

Options:

Answer:

Solution:

For BC: $P = aV + b$ with $9 P_{A} = a V_{A} + b$ and $3 P_{A} = 3 a V_{A} + b$ gives $a = - \frac{3 P _{A}}{V _{A}}$ , $b = 12 P_{A}$ .

$n RT = P V = - \frac{3 P _{A}}{V _{A}} V^{2} + 12 P_{A} V$ ; $\frac{d T}{d V} = 0 \Rightarrow V = 2 V_{A}$ .

$n RT = - 12 P_{A} V_{A} + 24 P_{A} V_{A} = 12 P_{A} V_{A} = 12 n R T_{A} \Rightarrow T = 12 T_{A} = 12 \times 200 = 2400$ K.

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Thermodynamics

⏱ 2mℹ️ Source: QB

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