Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermal ExpansionMedium2 minPYQ_2021

PhysicsMediumsingle choice

An ideal gas is expanding such that $P T^{3} =$ constant. The coefficient of volume expansion of the gas is:

Answer:

Solution:

$γ = \frac{1}{V} \frac{d V}{d t}$

$P T^{3} =$ constant

$\frac{T}{V} T^{3} =$ Constant

$T^{4} V^{- 1} = C$

$V^{- 1} (4 T^{3} d T) + T^{4} (\frac{- 1}{V^{2}} d V) = 0$

$\frac{d V}{d T} = \frac{4 T^{3} / V}{T^{4} / V^{2}} = \frac{4 V}{T} ∴ γ = \frac{4}{T}$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: PYQ_2021

Loading discussions...