Question

Find the total number of protons in 10g of calcium carbonate $\left({\mathrm{CaCO}}_3\right)$.

Answer 1

Protons:-

1. Protons are the positively charged particles that are present in the nucleus of a hydrogen atom.
2. The mass of a proton is equal to that of the hydrogen atom.

Step-1 Calculating the number of moles

• The molar mass of calcium carbonate is = $100g/mol$
• Given weight of calcium carbonate is = $10g$

$Formulatofindno.ofmoles=Givenweight/Molarmass$

$No.ofmoles=10/100$

$No.ofmoles=0.1$

Step-2 Calculating the number of molecules using Avogadro Number

As one mole of molecules = $6.022\times {102}^{23}$molecules.

$0.1$ mole of molecules = $6.022\times {10}^{22}$molecules.

Step-3 Calculating the number of Proton

Calcium carbonate contains one Calcium atom, one Carbon atom and three Oxygen atoms

1. The carbon atom has $6$protons,
2. A Calcium atom has $20$ protons
3. One oxygen atom has $8$ protons. Therefore, three oxygen atoms will have= $8\times 3=24$ protons.

We know the number of protons in $10g$ of Calcium Carbonate = the Number of protons in $6.022\times {10}^{22}$ molecules.

Then, we can use

$TocalculateTotalno.ofprotonin10mgCalciumcarbonate=Totalnumberofproton\times 6.022\times {10}^{{22}^{}}$

= $50\times 6.022\times {10}^{22}$

$=3.0115\times {10}^{24}protons$

Hence, The Total Number Of Protons In 10g Of Calcium Carbonate $\left({\mathrm{CaCO}}_3\right)$ is $=3.0115\times {10}^{24}protons$