Chemical gas help please
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Chemical gas help please

[From: ] [author: ] [Date: 12-03-16] [Hit: ]
..What is the pressure in a 14.0-L cylinder filled with 31.2 g of oxygen gas at a temperature of 312 K?-Anytime youre given a gas problem that has only one set of conditions of temperature,......
could someone please help me with this question cause my teacher didnt explain it well......

What is the pressure in a 14.0-L cylinder filled with 31.2 g of oxygen gas at a temperature of 312 K?

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Anytime you're given a gas problem that has only one set of conditions of temperature, pressure and volume (called static conditions), you will need to use the universal gas law: PV = nRT - pressure times volume = moles times the universal gas constant times the temperature. In using this relationship, pressure must be in atmospheres, volume in liters, and temperature in kelvins. The value for the constant R is 0.0821-L*atm/mol*K. In this problem, we're looking for pressure - P, so P = nRT/V.

We're not give the moles of oxygen but we can get it by dividing the mass by the molar mass
n = m/MM ---> P = mRT / (MMxV) ---> (31.2-g x 0.0821-L*atm/mol*K x 312 K) / (32.0-g/mol x 14.0-L) -------------> P = 1.78 atmospheres of pressure
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