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# Molar Volume Formula

Molar volume is defined as the volume of one mole substance, one mole consists of 6.023×1023 atoms. Molar volume is directly proportional to molar mass and inversely proportional to the density. In the case of volatile liquid, this formula helps to find out the molar mass. The formula for molar volume is given as,

Where $V_m$=Molar volume of substance

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## Molar Volume Problems

Solved problems of molar volume are given below:

### Solved Examples

Question 1: Determine the molar volume of ice? Given density = 0.9167g/cm3, molar mass = 18g and atomic weight is 18.02g.

Solution:

Given parameters are,
Density, $\rho$ = 0.9167g/cm3, molar mass = 18g =0.018kg and atomic weight = 18.02g.
The formula for molar volume is,

$V_{m}$ = $\frac{Atomic\ weight\times Molar\ mass}{Density}$

$V_{m}$ = $\frac{18.02\times 0.018}{0.0009167}$ = 353.83m3/mol

Question 2: The decomposition of NaClO3 results the production of NaCl and O2. Calculate the volume of O2 if 42.6g NaClO3 decomposes at STP? The density is given as 0.213kg/m3.

Solution:

Given parameters are,
Density, $\rho$ = 0.213kg/m3, molar mass = 42.6g/mol = 0.0426kg/mol and atomic weight = 96.
The formula for molar volume is,

$V_{m}$ = $\frac{Atomic\ weight\times Molar\ mass}{Density}$

$V_{m}$ = $\frac{96\times 0.0426}{0.213}$ = 19.2m3/mol

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