The molar volume of oxygen, in L, at 1.00 atmosphere and 100°C, is closest to
A - VCE - SSCE Chemistry - Question 2 - 2006 - Paper 1
Question 2
The molar volume of oxygen, in L, at 1.00 atmosphere and 100°C, is closest to
A. 30.6
B. 24.5
C. 22.4
D. 8.2
Worked Solution & Example Answer:The molar volume of oxygen, in L, at 1.00 atmosphere and 100°C, is closest to
A - VCE - SSCE Chemistry - Question 2 - 2006 - Paper 1
Step 1
Determine the conditions for molar volume
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Answer
At standard temperature and pressure (STP), the molar volume of a gas is typically 22.4 L for 1 mole at 0°C and 1 atm. Here, we have a temperature of 100°C, which is above this standard condition.
Step 2
Use the Ideal Gas Law
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Answer
To find the molar volume at 100°C and 1 atm, we utilize the Ideal Gas Law:
PV=nRT
Where:
P = pressure (1 atm)
V = volume (to find)
n = number of moles (1 mole)
R = ideal gas constant (0.0821 L·atm/(K·mol))
T = temperature in Kelvin (100°C = 373.15 K)
Rearranging gives us:
V=PnRT
Step 3
Calculate the volume
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Answer
Substituting the known values:
V=1atm(1mol)(0.0821L⋅atm/(K⋅mol))(373.15K)≈30.6L
Thus, the closest option for the molar volume of oxygen at these conditions is 30.6 L.
Step 4
Choose the correct option
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Answer
Based on the calculations, the closest value for the molar volume of oxygen at 1.00 atmosphere and 100°C is: