What is the number of hydrogen atoms present in 5.4 g of urea?

What is the number of hydrogen atoms present in 5.4 g of urea?
  1. $9.011 \times 10^{23}$
  2. $6.022 \times 10^{23}$
  3. $2.168 \times 10^{23}$
  4. $3.011 \times 10^{23}$

Solution

Number of hydrogen atoms in 5.4 g of urea

Urea has the formula CO(NH$_{2}$)$_{2}$, with a molar mass of approximately 60 g/mol (simplified from 60.062 g/mol for calculation). In one molecule, there are 4 hydrogen atoms.

The number of moles in 5.4 g is $n = \frac{5.4}{60} = 0.09$ mol.

Using Avogadro's number, $N_{A} = 6.022 \times 10^{23}$, the number of hydrogen atoms is $0.09 \times 6.022 \times 10^{23} \times 4 = 2.168 \times 10^{23}$.

This corresponds to option C.

Asked in: MHT CET 2025 (05 May Shift 2)

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