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Molar Volume of a Gas. Avogadro’s Principle states that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules. 2 H 2 + O 2 → 2 H 2 O 2 moles 1 mole 2 moles 2 molecules 1 molecule 2 molecules 2 volumes 1 volume 2 volumes.
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Molar Volume of a Gas • Avogadro’s Principle states that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules. • 2 H2 + O2 → 2 H2O • 2 moles 1 mole 2 moles • 2 molecules 1 molecule 2 molecules • 2 volumes 1 volume 2 volumes
The standard molar volume of a gas is that volume occupied by one mole of a gas at STP. • The standard molar volume of a gas is 22.4 L/mol • A chemical reaction is expected to produce 0.0680 mol of oxygen gas. What volume in liters will be occupied by this gas at STP?
The Ideal Gas Law • The ideal gas law is derived from combining Boyle’s, Charles’ laws and Avogadro’s principle. • The Ideal gas law is PV=nRT • P= pressure in either mmHg, atm or kPa. • V= volume in liters.
n= number of moles • R= Ideal Gas constant (see below) • T= Temperature in Kelvin • For the ideal gas constane (R) use; • 62.4 L.mmHg/mol.K if the pressure is in mmHg. • 0.0821 L.atm/mol.K if the pressure is in atm. • 8.314 L.kPa/mol.K if the pressure is in kPa.
What is the pressure in atmospheres exerted by a 0.500 mol sample of nitrogen in a 10.0 L container at 298K?