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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermodynamicsMedium2 minQB

PhysicsMediumsingle choice

The relation between $U, p$ and $V$ for a gas in an adiabatic process is given by relation $U = a + b p V$ . Find the value of adiabatic exponent $(γ)$ of this gas.

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Answer:

Solution:

$d U = b d (p V) = b (p d V + V d p)$ ; adiabatic: $d U = - p d V$ .

$b p d V + bV d p = - p d V \Rightarrow (b + 1) p d V + bV d p = 0. \frac{d p}{p} = - \frac{b + 1}{b} \frac{d V}{V} \Rightarrow γ = \frac{b + 1}{b} .$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Thermodynamics

⏱ 2mℹ️ Source: QB

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