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