The gas law for an ideal gas at absolute temperature 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 = 8.0 atm and is increasing at a rate of 0.10 atm/min and V = 10 Land is decreasing at a rate of 0.15 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol.

Iron is mixed with an acid in an insulated container. The temperature, T°C, above room temperature, at time t minutes after the metal is added to the acid is given by: a) b) T = 64tet Calculate the rate of change of the temperature 5 minutes after the metal is added. When t = 5 minutes then °C/min. Give your answer to two decimal places, if needed. Calculate the maximum temperature of the mixture. The maximum temperature of the mixture is Give your answer to two decimal places, if needed. °C above room temperature.

Suppose A = 500(1.045)t . Compute dA/dt