Q1 / 150 · MHT CET 2026 (16 April Shift 2) · Chemistry
The ratio of mass of 'x' atoms of an element to mass of carbon atoms is 9:1. Find the mass of 1 mol of x if molar mass of carbon is 12 g/mol.
- A$54\ \text{g}$
- Correct answerB$108\ \text{g}$
- C$180\ \text{g}$
- D$216\ \text{g}$
Solution
Let the mass of one atom of element 'x' be $m_x$ and the mass of one carbon atom be $m_C$.
Given that the ratio of the mass of an atom of element 'x' to the mass of a carbon atom is $9:1$, we have:
$\dfrac{m_x}{m_C} = \dfrac{9}{1}$
The ratio of their molar masses is equal to the ratio of their atomic masses:
$\dfrac{M_x}{M_C} = 9$
Given the molar mass of carbon, $M_C = 12\ \text{g/mol}$, the molar mass of element 'x' is:
$M_x = 9 \times 12 = 108\ \text{g/mol}$
Therefore, the mass of $1\ \text{mol}$ of element 'x' is $108\ \text{g}$.
Given that the ratio of the mass of an atom of element 'x' to the mass of a carbon atom is $9:1$, we have:
$\dfrac{m_x}{m_C} = \dfrac{9}{1}$
The ratio of their molar masses is equal to the ratio of their atomic masses:
$\dfrac{M_x}{M_C} = 9$
Given the molar mass of carbon, $M_C = 12\ \text{g/mol}$, the molar mass of element 'x' is:
$M_x = 9 \times 12 = 108\ \text{g/mol}$
Therefore, the mass of $1\ \text{mol}$ of element 'x' is $108\ \text{g}$.
Hence, the correct answer is option: 'B'.