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Mole Concept and Avogadro's Number

Which of the ...

Question

Which of the following contains the same number of molecules?

A

1

g of

O_{2}

,

2

g of

S O_{2}

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B

1

g of

C O_{2}

,

1

g of

N_{2} O

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C

112

ml of

O_{2}

at STP,

224

ml of

H e

at

0.5

atm and

273

K

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D

1

g of

O_{2}

,

1

g of

O_{3}

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Solution

The correct options are
A $1$ g of $O_{2}$ , $2$ g of $S O_{2}$
B $1$ g of $C O_{2}$ , $1$ g of $N_{2} O$
C $112$ ml of $O_{2}$ at STP, $224$ ml of $H e$ at $0.5$ atm and $273$ K
For same number of molecules, number of moles should be same.
$1$ g of $O_{2}$ corresponds to $\frac{1}{32}$ moles. $2$ g of $S O_{2}$ corresponds to $\frac{2}{64} = \frac{1}{32}$ moles. Thus, they contain same number of molecules.
$1$ g of $C O_{2}$ corresponds to $\frac{1}{44}$ moles. $1$ g of $N_{2} O$ corresponds to $\frac{1}{44}$ moles. Thus, they contain same number of molecules.
$112$ ml of $O_{2}$ at STP corresponds to $0.005$ moles. $224$ ml of He at $0.5$ atm and $273$ K corresponds to $0.005$ moles. Thus, they contain same number of molecules.
1 g of $O_{2}$ corresponds to $\frac{1}{32}$ moles. 1g of $O_{3}$ corresponds to $= \frac{1}{48}$ moles. Thus, they contain different number of molecules.

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Similar questions

Q. The circulation of blood in human body supplies

O_{2}

C O_{2}

. The concentration of

O_{2}

C O_{2}

is variable but on the average, 100

m L

blood contains 0.02

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. The volume of

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Q. The circulation of blood in the human body supplies

O_{2}

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. The concentration of

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C O_{2}

is variable but on an average, 100 ml blood contains 0.02 g of

O_{2}

C O_{2}

. The volume of

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at 1 atm and at body temperature

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, assuming 10 l blood in the human body is:

600

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O_{2}

1

g at NTP. Calculate the volume of ozone in the mixture.

16

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