Section 14.4: Tangent Planes

The pressure, volume, and temperature of a mole of an ideal gas are related by the equation \(PV = 8.31T\), where \(P\) is measured in kilopascals, \(V\) in liters, and \(T\) in kelvins. Use differentials to find the approximate change in the pressure if the volume increases from 12 L to 12.3 L and the temperature decreases from 310 K to 305 K.