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Question
Solve the following.
Nitrogen gas is filled in a container of volume 2.32 L at 32°C and 4.7 atm pressure. Calculate the number of moles of the gas.
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Solution
Given:
V = 2.32 L,
P = 4.7 atm,
T = 32°C = 32 + 273.15 K = 305.15 K
R = 0.0821 L atm K−1 mol−1
To find: n = number of moles of gas
Formula: PV = nRT
Calculation:
According to the ideal gas equation,
PV = nRT
∴ n = `"PV"/"RT"`
∴ n = `(4.7xx2.32)/(0.0821xx305.15)`
∴ n = 0.435 moles
Number of moles of N2 gas in the given volume is 0.435 moles.
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