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The molar volume, symbol Vm, is the volume occupied by one mole of a substance at a given temperature and pressure. It is equal to the molar mass divided by the mass density. Therefore, we calculate as follows:

Vm(CO2) = 44.01 / 1.56 = 28.21 cm^3 / mol
Vm(NH3) = 17.03 / 0.84 = 20.27 cm^3 / mol

Answer: The molar volume of carbon dioxide is \(28.21cm^3\) and that of ammonia is \(20.275cm^3\)

Explanation:

To calculate the molar volume for the given densities, we use the mass to be molar mass.

To calculate volume of a substance, we use the equation:

\(\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}\)      ......(1)

  • For carbon dioxide:

Density of carbon dioxide = \(1.56g/cm^3\)

Molar mass of carbon dioxide = 44.01 g

Putting values in equation 1, we get:

\(1.56g/cm^3=\frac{44.01g}{\text{Volume of carbon dioxide}}\\\\\text{Volume of carbon dioxide}=28.21cm^3\)

Hence, the molar volume of carbon dioxide is \(28.21cm^3\)

  • For ammonia:

Density of ammonia = \(0.84g/cm^3\)

Molar mass of ammonia = 17.031 g

Putting values in equation 1, we get:

\(0.84g/cm^3=\frac{17.031g}{\text{Volume of ammonia}}\\\\\text{Volume of ammonia}=20.275cm^3\)

Hence, the molar volume of ammonia is \(20.275cm^3\)

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