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Q.

A gas is undergoing an adiabatic process At a certain stage A, the values of pressure and temperature are $(P_{0}, T_{0})$ Referring to the graph the value of $γ$ is found to be $γ = \frac{n T_{0}}{(P_{0} + n T_{0} \tan θ)} \tan θ .$ then, what is the value of $n$ ?

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Detailed Solution

$P v^{γ} = C P^{1 - γ} T^{γ} = C (1 - γ) \ln p + γ / n T = l n C γ = \frac{T_{0} \tan θ}{P_{0} + T_{0} \tan θ}$

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A gas is undergoing an adiabatic process At a certain stage A, the values of pressure and temperature are (P0,T0) Referring to the graph the value of γ is found to be γ=nT0(P0+nT0tanθ)tanθ. then, what is the value of n?