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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)

Options:(select one or more)

Answer:

B, D

Solution:

$ρ = \frac{pM}{RT}$ . With $d p / d h = - ρ g$ , uniform density requires $d T / d h = - M g / R$ , i.e. $\frac{d T}{d h} =$ $\frac{M g}{R}$ . Under isothermal conditions p falls with h, so $ρ$ cannot be uniform.

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:KTG

⏱ 2mℹ️ Source: QB

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