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Question

Chemistry Question on Mole concept and Molar Masses

The number of formula units of calcium fluoride, CaF2CaF _{2} present in 146.4g146.4\, g of CaF2CaF _{2} (the molar mass of CaF2CaF _{2} is 78.08g/mol78.08 \,g / mol ) is

A

1.129×1024CaF21.129\times10^{24} CaF_{2}

B

1.146×1024CaF21.146\times10^{24} CaF_{2}

C

7.808×1024CaF27.808\times10^{24} CaF_{2}

D

1.877×1024CaF21.877\times10^{24} CaF_{2}

Answer

1.129×1024CaF21.129\times10^{24} CaF_{2}

Explanation

Solution

CaF2=146.4gCaF _{2}=146.4\, g
Molecular weight of CaF2=78.08g/molCaF _{2}=78.08 \,g / mol
Moles of CaF2= wt. mo. wt. CaF _{2}=\frac{\text { wt. }}{ mo \text {. wt. }}
=146.478.08=1.875mol=\frac{146.4}{78.08}=1.875\, mol
Number of CaF2CaF _{2} atoms in 146.4g146.4\, g of CaF2=CaF _{2}=
No. of moles ×6.022×1023\times 6.022 \times 10^{23}
=1.875×6.022×1023=1.875 \times 6.022 \times 10^{23}
=11.29×1023=11.29 \times 10^{23}
=1.129×1024CaF2=1.129 \times 10^{24} CaF _{2}