Question

A sample of a gas was filled a 3.70 L container and exhibited 755 mmHg of pressure. If the temperature was constant at 50 C, what would be the new pressure if the container was expanded to 5.00 L?

Answer 1

Using the ideal gas equation

PV = nRT

Since the temperature is constant, hence the nRT will be fixed for both the cases, so we can write

P1V1 = P2V2

P1 = Initial Pressure = 755 mm Hg

V1 = Initial Volume = 3.70 L

V2 = Final Volume = 5.00 L, P2 = Final Pressure

755 * 3.70 = P2 * 5.00

P2 = 558.7 mm Hg

Hence the final pressure will be equal to 558.7 mm Hg or 559 mm Hg

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