Learning Goal: To apply the ideal gas law to problems involving temperature, pre

Question

Learning Goal: 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 balloon is floating around outside your window. The temperature outside is 3 degree C, and the air pressure is 0.800 atm. Your neighbor, who released the balloon, tells you that he filled it with 4.60 moles of gas. What is the volume of gas inside this balloon? Express your answer to three significant figures and include the appropriate units. A 20.0 L gas cylinder is filled with 10.0 moles of gas. The tank is stored at 3 degree C, What is the pressure in the tank? Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

(A)

Assuming ideal behaviour,

P V = n R T

V = n R T / P

Substitute the known daa,

V = 4.60 * 0.0821 * 276.15 / 0.800

V = 130.4 L

(B)

P = n R T / V

Substitute the given known data,

P = 10.0 * 0.0821 * 276.15 / 20.0

P = 11.3 atm

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