The Ideal Gas Law. The ideal gas law Relates pressure, temperature,volume, and the number of moles of a gas.

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Presentation transcript:

The Ideal Gas Law

The ideal gas law Relates pressure, temperature,volume, and the number of moles of a gas

PV = nRT P = pressure in atm V = volume in L n = number of moles R = L atm K mol K mol T = temperature in Kelvin

How the value of R is determined R = PV nT nT At STP, P = 1atm V = 22.4 L V = 22.4 L T = 273 K T = 273 K R = (1 atm)(22.4L) = (1 mol)(273K) (1 mol)(273K)

An Ideal Gas The relationship between volume, pressure, and temperature assumes that the gas behaves ideally. - Gas particles have no attraction for each other. - Gas particles have no attraction for each other. - Gas particles have no volume. - Gas particles have no volume.

An underground cavern contains 2.24 x 10 6 L of methane gas at a pressure of 15.0 atm and a temperature of 42 0 C. What mass of this natural gas does the cavern contain?

Modification of the ideal gas law R = P 1 V 1 before change n 1 T 1 n 1 T 1 R = P 2 V 2 after change n 2 T 2 n 2 T 2 P 1 V 1 = P 2 V 2 n 1 T 1 n 2 T 2 n 1 = n 2 thus, P 1 V 1 = P 2 V 2 n 1 = n 2 thus, P 1 V 1 = P 2 V 2 T 1 T 2 T 1 T 2

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