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Atoms and Molecules

Which of the ...

Question

Which of the following has smallest number of molecules?

A

0.1

mole of

C O_{2}

gas

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B

11.2

litres of

C O_{2}

gas

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C

22 g

of

C O_{2}

gas

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D

22.4 \times 103 m l

of

C O_{2}

gas

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Solution

The correct option is A $0.1$ mole of $C O_{2}$ gas
$0.1 m o l e {C O}_{2} = 6.023 \times 10^{22} m o l e c u l e s 11.2 l i t r e s o f {C O}_{2} = 0.5 \times 6.023 \times 10^{23} m o l e c u l e s = 30.11 \times 6.023 \times 10^{22} 22 g {C O}_{2} = 0.5 \times 6.023 \times 10^{23} m o l e c u l e s = 30.11 \times 6.023 \times 10^{22} 22.4 \times 103 m l {C O}_{2} = \frac{22.4 \times 103 \times 0.001}{22.4} m o l e s = 0.103 m o l e c u l e s = 6.204 \times 10^{22}$

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