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# Molar Volume Calculator

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The molar volume calculator will help to determine the molar volume of a substance. At given temperature and pressure, the volume occupied by the substance of one mole is known as molar volume.

Molar volume is calculated by the formula,
Molar volume ($V_m$) = $\frac{Atomic \ weight \ \times \ Molar \ mass}{Density(\rho )}$.

## Steps

Steps to determine the molar volume :

Step 1 : Write down the given values from the given problem.

Step 2 : Substitute the given values into the molar volume formula given and find the value accordingly.
Molar volume ($V_m$) = $\frac{Atomic \ weight \ \times \ Molar \ mass}{Density(\rho )}$.

## Problems

Some of the problems are solved based on molar volume.

### Solved Examples

Question 1: Calculate the molar volume of an element with density of 0.76 kg/m$^3$, atomic weight of 32.07 g/mol and molar mass of 0.064 kg/mol.
Solution:
Given :
Density = 0.76 kg/m$^3$,
Atomic weight = 32.07 g/mol,
Molar mass = 0.064 kg/mol.

Molar volume of the given element as,
$V_m$ = $\frac{Atomic \ weight \ \times \ Molar \ mass}{Density(\rho )}$

$V_m$ = $\frac{32.07 \times 0.064}{0.76}$

$V_m$ = 27 m$^3$/mol.

Question 2: Calculate the molar volume of the substance with density of 1 kg/m$^3$, atomic weight of 14.00 g/mol and molar mass = 0.017 kg/mol.
Solution:
Given :
Density = 1 kg/m$^3$,
Atomic weight = 14.00 g/mol,
Molar mass = 0.17 kg/mol.

Molar volume of the given substance is given as,
$V_m$ = $\frac{Atomic \ weight \ \times \ Molar \ mass}{Density(\rho )}$

$V_m$ = $\frac{14 \times 0.17}{1}$

$V_m$ = 2.3 m$^3$/mol.