Chapter U4, Problem C14.1RE

Interpretation Introduction

Interpretation: The proportional relationships between mass and moles are to be explained.

Concept introduction: Moles provide an easy way of conversion between the number of molecules or atoms and their mass. One mole of particles is equal to $6.022\times {10}^{23}$ particles.

Answer to Problem C14.1RE

Mole and mass is directly proportional to each other. This can be explained with the below equation.

  $\text{Mole}\propto \frac{\text{Mass}}{\text{Molar mass}}$

Explanation of Solution

Molar mass is defined as average mass of atoms present in the chemical formula. It is the sum of the atomic masses of all the atoms present in the chemical formula of any compound.

The formula to calculate the number of moles is shown below.

  $\text{Mole}=\frac{\text{Mass}}{\text{Molar mass}}$

The above equation can be written as,

  $\text{Mole}\propto \frac{\text{Mass}}{\text{Molar mass}}$

The above equation states that moles are directly proportional to the mass of a compound and inversely proportional to the molar mass of a compound.

Therefore, moles and mass are directly proportional to each other.

Conclusion

Mole and mass is directly proportional to each other. This can be explained with the below equation.

  $\text{Mole}\propto \frac{\text{Mass}}{\text{Molar mass}}$