One litre of air at atmospheric pressure and 25°C is held in a flask - VCE - SSCE Chemistry - Question 17 - 2005 - Paper 1
Question 17
One litre of air at atmospheric pressure and 25°C is held in a flask. The pressure of oxygen in the flask is 0.201 atm (20.4 kPa).
The concentration of oxygen in th... show full transcript
Worked Solution & Example Answer:One litre of air at atmospheric pressure and 25°C is held in a flask - VCE - SSCE Chemistry - Question 17 - 2005 - Paper 1
Step 1
Calculate the number of moles of oxygen
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Answer
To find the concentration of oxygen, we first need to use the ideal gas law, which is given by the equation:
PV=nRT
Where:
P is the pressure of the gas (in atm),
V is the volume of the gas (in liters),
n is the number of moles of the gas,
R is the ideal gas constant (0.0821 L·atm/(K·mol)), and
T is the temperature (in Kelvin).
Convert the temperature from Celsius to Kelvin: T=25+273.15=298.15extK
Rearranging for the number of moles: n=RTPV
Substitute in the known values: n=(0.0821extL⋅atm/(K⋅mol))(298.15extK)(0.201extatm)(1extL) n≈0.0082extmol
Step 2
Calculate the concentration in moles per liter
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Answer
Since the volume of the gas sampled is 1 liter, the concentration (C) in mole per liter is given by:
C=Vn
Substituting the values:
C=1extL0.0082extmol=0.0082extmol/L
Thus, the concentration of oxygen in the flask is 0.0082 mol/L, which corresponds to option D.