Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKTGMedium2 minQB

PhysicsMediummultiple choice

During an experiment, an ideal gas is found to obey a condition $\frac{P ^{2}}{ρ} =$ constant $[ρ =$ density of the gas]. The gas is initially at temperature T, pressure P and density $ρ$ . The gas expands such that density changes to $ρ /2$ .

Options:(select one or more)

Answer:

B, D

Solution:

$ρ = \frac{PM}{RT} \Rightarrow \frac{P ^{2}}{ρ} = \frac{PRT}{M} =$ constant, so $PT =$ constant: a hyperbola on the P-T diagram. Density halved $\Rightarrow P^{2}$ halved $\Rightarrow P^{'} = P / 2$ , and $T^{'} = \frac{P ^{'} ρ}{P ρ ^{'}} T = 2 T$ .

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:KTG

⏱ 2mℹ️ Source: QB

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