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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKTGMedium2 minQB

PhysicsMediummultiple choice

Passage / Comprehension

A very tall vertical cylinder is filled with a gas of molar mass M under isothermal conditions at temperature T. The density and pressure of the gas at the base of the container is ρ₀ and p₀, respectively.

Choose the correct statement(s) if gravity is assumed to be constant throughout the container

Options:(select one or more)

Answer:

A, B, C, D

Solution:

$\frac{d p}{d h} = - ρ g = - \frac{pM g}{RT} \Rightarrow p = p_{0} e^{- M g h / RT}$ . Since $ρ = pM / RT$ at constant T, density follows the same exponential law, and so does molecular density.

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:KTG

⏱ 2mℹ️ Source: QB

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