Ideal Gas Law: Solve for the following. Show your solution
1. When filling a weather balloon with gas you have to consider that the gas will expand greatly as it rises and the pressure decreases. Let’s say you put about 10.0 moles of He gas into a balloon that can inflate to hold 5000.0L. Currently, the balloon is not full because of the high pressure on the ground. What is the pressure when the balloon rises to a point where the temperature is -10.0°C and the balloon has completely filled with the gas.
2. Calculate the mass of 15.0 L of NH3 at 27° C and 900 mm Hg.
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Answer:
1. 0.043 atm
2. 12.3 g NH3
Explaination:
1. PV = nRT
P = nRT/V
P = (10.0 mol)(0.0821 L∙atm/mol∙K)(263 K)/(5000.0 L)
P = 0.043 atm
2. P = 900. mm Hg
T = 27° C + 273 = 300 K
V = 15.0 L
R = 0.0821 L·atm/mol·K
PV = nRT
n = PV/RT
n = 900. mm x 1 atm/760 mm x 15.0 L/(0.0821 L·atm/mol·K x 300 K) =
n = 0.721 moles NH3 x 17.04 g NH3/1 mol NH3 = 12.3 g NH3