The gas law for an ideal gas at absolute temperature (in kelvins), pressure (in atmospheres), and volume is , where is the number of moles of the gas and is the gas constant. Suppose that, at a certain instant, atm and is increasing at a rate of .10 atm/min and L and is decreasing at a rate of .15 L/min.
Find the rate of change of with respect to time at that instant if moles. Round your answer to the nearest thousandth.