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The ideal gas law states that for an ideal gas PV=nRT, where P,V, and T...

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The ideal gas law states that for an ideal gas PV=nRT, where P,V, and T are the pressure, volume, and absolute temperature, n is the number of moles of gas, and R is the ideal gas constant (0.0821). Suppose that currently the P = 8.0 atm (atmospheres) and is increasing at a rate of 0.15 atm/min and V = 9L and is decreasing at a rate of 0.1 L/min. Find the rate of change of T with respect to time at this instant if n = 20 mol. (Hint: You will need implicit differentiation for this problem.)

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