According to the Ideal Gas Law, , where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2500 cubic inches of nitrogen at a pressure of 36 pounds per square inch and a temperature of 700 K. Write P as a function of V and T after evaluating k.

P = 128.6 T / V

Explanation:

The ideal gas equation is

         P V = n R T

Where the pressure is

P = 36 pounds / in²

V = 2500 in³

T = 700 K

    PV = k T

    k = PV / T

    k = 36 2500/700

    k = 128.6

    P = 128.6 T / V

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