Directions: Solve the following problems using GRESA and answer the last question.
1. Calculate the pressure exerted by a 0.25 mole sulfur hexafluoride in a steel vessel
having a capacity of 1 250 mL at 70.0 0C.
2. Fermentation of glucose produces gas in the form of carbon dioxide. How many moles
of carbon dioxide is produced if 0.78 L of carbon dioxide at 20.1 0C and 1.00 atm was
collected during the process?
3. How was the ideal gas equation derived? Explain.
1. n=0.25 mol
V=1250 mL = 1.25 L
T=70.0 + 273=343 K
Ideal Gas Law:
pV=nRT
R = 0.08206 L×atm/mol×K
"p= \\frac{nRT}{V} \\\\\n\n= \\frac{0.25 \\times 0.08206 \\times 343}{1.25} \\\\\n\n= 5.63 \\;atm"
Answer: 5.63 atm
2. V=0.78 L
T=20.1 + 273 = 293.1 K
p=1 atm
"n = \\frac{pV}{RT} \\\\\n\n= \\frac{1 \\times 0.78}{0.08206 \\times 293.1} \\\\\n\n= 0.032 \\;mol"
Answer: 0.032 mol
3. PV = nRT
P is the pressure of the ideal gas.
V is the volume of the ideal gas.
n is the amount of ideal gas measured in terms of moles.
R is the universal gas constant.
T is the temperature.
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