Question: Consider the ideal gas law \(P V=.0821 T\); this relates the pressure \(P\) (in atmospheres), the volume \(V\) ( in liters), and the temperature \(T\) (in kelvins) of a mole of ideal gas. Suppose that, for a particular gas at a particular time \(t\) (in seconds), the temperature is 298 kelvins and rising at \(.1 \mathrm{~K} / \mathrm{sec}\), while the volume is \(65 \mathrm{~L}\) and rising at \(.5 \mathrm{~L} / \mathrm{sec}\). How fast is the pressure changing at time \(t\) ?

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