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 expressions known as the ideal gas law. PV = nRT The variable r is known as the universal gas constant and has the value R = 0.0821 L middot atm/(mole middot K). The units of R dictate the units for all other quantifies, so when using the value of R, use units of atmospheres for pressure, liters for volume, and kelvins for temperature. A 180 L kin is used for verifying 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? Express your answer to three significant figures and include the appropriate units. A 12.0 L gas cylinder has been filled with 6.40 moles of gas. You measure the pressure to be 4.70 atm. What is the temperature inside the tank? Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

C)

Apply ideal gas law

T = 1315° = 1315 + 273 K = 1588 K

V = 180 L

P = 0.9250 atm

R = 0.082 Latm/molK

solve for n

PV = nRt

n = PV/(RT)

n = 0.925 * 180 / (0.082*1588)

n = 1.27864 moles of air

D)

now, solve for T

PV = nRT

T = PV/(nR)

T = (4.7)(12)/(0.082*6.4)

T = 107.46 K

T = 107.46-273 = -165 °C

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