*T*(in Kelvins), pressure

*P*(in atmospheres), and volume

*V*(in liters) is

*PV=nRT*, where

*n*is the number of moles of the gas and

*R*=0.0821 is the gas constant. Suppose that, at a certain instant,

*P*=7 atm and is increasing at a rate of 0.15 atm/min. and

*V*=10L and is decreasing at a rate of 0.15L/min. Find the rate of change of

*T*with respect to time at that instant if

*n*=10 moles.

So, since the equation is

*PV=nRT*do I solve for

*V*and differentiate implicitly? Then what happens to all those numbers? I know I have to plug some in, but I don't know which ones and where because of the derivative.

Help?