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23. Intext problems: Calculation based on number of atoms/molecules I

1. Calculate the number of atoms present in $1$ gram of gold (atomic mass of $Au=198$ ).

Data:

Given mass of gold

$=1$

$g$

Atomic mass of

$Au=198$

Avogadro's number

$=6.023\times10^{23}$

Solution:

Number of atoms of

$Au$

$=$

$\frac{x}{y}$

Where,

$=$

Therefore, the number of atoms present in

$1$ gram of gold

$=$

$z\times10^{21}$

$g$

$=$

2. Calculate the number of atoms of oxygen and carbon in $5$ $moles$ of $CO_2$ .

Calculating number of oxygen atoms in

$5$

$moles$ of

$CO_2$ :

$1$ $mole$ of $CO_2$ contains $2$ $moles$ of oxygen.

$5$ $moles$ of $CO_2$ contain $10$ $moles$ of oxygen.

Solution:

Number of atoms of

$O_2$

$=$

Therefore, the number of atoms of oxygen in

$5$

$moles$ of

$CO_2=$

$x\times10^{y}$

Calculating the number of carbon atoms in

$5$

$moles$ of

$CO_2$ :

$1$ $mole$ of $CO_2$ contains $1$ $moles$ of carbon.

$5$ $moles$ of $CO_2$ contain $5$ $moles$ of carbon.

Number of atoms of

$C$

$=$

Therefore, the number of atoms of carbon in

$5$

$moles$ of

$CO_2=$

$3.011\times10^{y}$

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23. Intext problems: Calculation based on number of atoms/molecules I

Exercise condition: