Interpretation:
The volume of the gas is to be calculated when pressure, temperature and number of moles of the gas are given.
Concept introduction:
Ideal gas equation helps to calculate volume of a gas at given temperature and pressure. According to this law,
PV= nRT
Where
P is pressure of the gas
V is volume of the gas
n is the number of moles of the gas
R is the ideal gas constant
T is the temperature of the gas

Answer to Problem 27PP
The volume of the gas is 7.808 L
Explanation of Solution
Given information:
The number of moles of gas is 0.323 mol
The pressure of gas P=0.900 atm
Gas constant is 0.0821 LatmK-1mol-1
The temperature of the gas T=265 K
Ideal gas equation helps to calculate volume of a gas at given temperature and pressure. According to this law,
PV= nRT
Or
V =nRTP
Where
P is pressure of the gas
V is volume of the gas
n is the number of moles of the gas
R is the ideal gas constant
T is the temperature of the gas
Now
Number of moles of gas is 0.323 mol
P=0.900 atm
Gas constant is 0.0821 LatmK-1mol-1
T=265 K
Now substituting the values into formula,
V=nRTP=0.323×0.0821×2650.900=7.808 L
Therefore, volume of the gas is 7.808 L
The volume of the gas is 7.808 L.
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