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$The pressure P of an ideal gas is given by P (n, T, V) = \frac{n R T}{V}, where n is the amount of the gas, R is a constant, T is the temperature of the gas in degrees Kelvin, and V is the volume of the gas . Find \frac{\partial P}{\partial n}, \frac{\partial P}{\partial V}, and \frac{\partial P}{\partial T} . What are the physical interpretations of these partial derivatives ?$

$\frac{\partial P}{\partial n} = \frac{R T}{V} This tells us how fast the pressure changes with a unit change in the amount of the gas . \frac{\partial P}{\partial V} = - \frac{n R T}{V^{2}} This tells us how fast the pressure changes with a unit change in the volume of the gas . \frac{\partial P}{\partial T} = \frac{n R}{V} This tells us how fast the pressure changes with a unit change in the temperature of the gas .$

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The pressure of a ideal gas is given by, $P (n, T, V) = \frac{n R T}{V}$

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The pressure P of an ideal gas is given by P(n,T,V)=nRTV, where n is the amount of the gas, R is a constant, T is the temperature of the gas in degrees Kelvin, and V is the volume of the gas. Find ∂P∂n, ∂P∂V, and ∂P∂T. What are the physical interpretations of these partial derivatives?

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Step 2. Finding the partial derivatives and physical interpretation of them

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