The Relation PV = NRT Holds for All Ideal Gases $\gamma$

question 27

Multiple Choice

The relation PV = nRT holds for all ideal gases. The additional relation PV $\gamma$ holds for an adiabatic process. The figure below shows two curves: one is an adiabat and one is an isotherm. Each starts at the same pressure and volume. Which statement is correct? (Note: ' $\infty$ ' means 'is proportional to'.)

• A)Isotherm: \(p \propto \frac{1}{V}\) ; Adiabat: \(p \propto \frac{1}{V}\) : A is both an isotherm and an adiabat.
• B)Isotherm: \(p \propto \frac{1}{V^{r}}\) ; Adiabat: \(p \propto \frac{1}{V}\) : B is an isotherm, A is an adiabat.
• C)Isotherm: \(P \propto \frac{1}{V}\) ; Adiabat: : A is an isotherm, B is an adiabat.
• D)Isotherm: ; Adiabat: : B is both an isotherm and an adiabat.
• E)cannot answer without additional information about the starting temperature.

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