Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoFirst lawMedium2 minQB

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Passage / Comprehension

A thermally insulated piston with its load has total mass 1 ton and is enclosed in a thermally insulated cylinder of cross-sectional area 0.5 m². A bumper supports the piston 1 m above the cylinder bottom. A heater inside the closed chamber raises the loaded piston by 0.5 m. Initially both the internal and ambient pressure are 10⁵ Pa and the temperature is 300 K. Treat the air as a diatomic gas.

Shared passage diagram

Total heat supplied by heater during complete process

Options:

Answer:

Solution:

In first phase heating is at constant volume and then at constant pressure

$P_{f} = 1 0^{5} + \frac{mg}{A} = 1.2 \times 1 0^{5} Pa Δ Q_{1} = n \times \frac{5 R}{2} (\frac{P _{f} V}{nR} - \frac{P _{i} V}{nR}) = \frac{5}{2} (Δ P) V = 25 kJ Δ Q_{2} = \frac{7}{2} P_{f} Δ V = 105 kJ Δ Q_{T} = 130 kJ$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:First law

⏱ 2mℹ️ Source: QB

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