Question

Calculate the total number of nucleons present in 12 g of carbon-12.

Answer 1

Step 1: Given data

• Given molar mass of carbon-12 = 12 g

Step 2: Formula used

• Number of moles of any substance = $\frac{givenmassofthesubs\tan ce}{molecularmassofthesubs\tan ce}$

Step 3: Calculation

• Number of moles of carbon atoms = $\frac{12}{12}$= $1mole$
• Number of atoms = number of moles $\times$Avogadro number

= $1\times 6.022\times {10}^{23}$

= $6.022\times {10}^{23}$

• One atom of carbon contains six protons and six neutrons = $12$nucleons
• Therefore the number of nucleons = $6.022\times {10}^{23}\times 12$ = $72.264\times {10}^{23}$

Thus, the total number of nucleons present in 12 g of carbon-12 = $\mathbf{72}\mathbf{.}\mathbf{264}\mathbf{\times }{\mathbf{10}}^{\mathbf{23}}$