To apply the ideal gas law to problems involving temperature, pressure, volume,

Question

To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas. The four properties of gases (pressure P, volume V, temperature T, and moles of gas n) are related by a single expression known as the ideal gas law: PV = nRT The variable R is known as the universal gas constant and has the values R = 0.0821 L middot atm/(mole middot K). The units of R dictate the units for all other quantities so when using this value of R use units of atmospheres for pressure, liters for volume, and kelvins for temperature. A 20.0 L gas cylinder is filed with 10.0 moles of gas. The tank is stored at 3 degree C. What is the pressure in the tank? A 180. L kiln is used for vitrifying ceramics. It is currently operating at 1315 degree C and the pressure is 0.9250 atm. How many moles of air molecules are within the confines of the kin?

Explanation / Answer

B)

Apply ideal gas law

PV = nRT

T = 3°C = 276 K, P = ? , V = 20 L, n = 10 mol, R = 0.082

P = nRT/V = 10*0.082*276/20

P = 11.316 atm

C)

Recalculate

PV = nRT

n = PV/(RT)

T = 1315°C = 1315+273 = 1588 K

n = 0.925*180/(0.082*1588 ) = 1.278 moles

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