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Consider the Ideal Gas Law, which states that PV = nRT, where P is the pressure,...

Consider the Ideal Gas Law, which states that PV = nRT, where P is the pressure, V is the volume, T is the temperature, and n is the number of moles of a gas sample, and R is a constant. (a) Assume a sample of 1 mole of a gas is in a expandable container where temperature and pressure are allowed to vary. Solve this equation for V = f(P,T).

(b) Determine ∂V/dP and interpret the result. In particular, describe what happens to the volume at a constant temperature as the pressure increases.

(c) Determine ∂V/dT and interpret the result. In particular, describe what happens to the volume at a constant pressure as the temperature increases.

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