Boye\'s experiment relating pressure and volume for a gas. What is the total pre

Question

Boye's experiment relating pressure and volume for a gas. What is the total pressure on the gas after enough Hg has been added to give a height difference of 760 mm Hg? Express your answer with the appropriate units. The ideal gas law describes the relationship among the pressure P, volume V, number of moles n, and absolute temperature T of an ideal gas. Here is the relationship expressed mathematically: PV - nRT where R is a proportionality constant. The units of R are determined by the units of pressure and volume used in the equation. When atm is used for pressure and L for volume, the appropriate R value is 0.0821 L middot atm/mol middot K. How many air molecules are in a 12.5 times 12.0 times 10.0 ft room? Assume atmosphere pressure of 1.00 atm, a room temperature of 20 degree C, and ideal behavior. There are 28.2 liters in one cubic foot.

Explanation / Answer

1. total pressure = 1 + 1 atm = 2 atm = 1520 torr = 2.02*10^5 Pa

2. total volume = 1500 cft = 42475.3 liters

using PV = nRT

n = (PV)/(RT) = 1767 mols

#molecules = 1.064E27 molecules

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