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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

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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=nRTPV = 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=nRTPV = \frac{nRT}{P}

Step 3

Calculate the volume

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Answer

Substituting the known values:

V=(1mol)(0.0821Latm/(Kmol))(373.15K)1atm30.6LV = \frac{(1\, mol)(0.0821\, L\cdot atm/(K\cdot mol))(373.15\, K)}{1\, atm} \approx 30.6\, L

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:

A. 30.6

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