Oxygen is present in 1 litre flask at a pressure of 7.6×10−10 mm of Hg. Calculate the number of oxygen molecules in the flask at 0∘C.

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Oxygen is present in 1 litre flask at a pressure of 7.6 10^{-

Question

Hard

Solving time: 5 mins

Oxygen is present in $1$ litre flask at a pressure of $7.6 \times 1 0^{- 10} mm$ of $Hg$ . Calculate the number of oxygen molecules in the flask at $0^{\circ} C$ .

2.8 \times 1 0^{8}

2.7 \times 1 0^{10}

0.27 \times 1 0^{10}

3.0 \times 1 0^{9}

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Updated on: May 11, 2023

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Oxygen is present in

1

litre flask at a pressure of

7.6 \times 1 0^{- 10} mm

Hg

. Calculate the number of oxygen molecules in the flask at

0^{\circ} C

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

First we should calculate the number of moles of the gas under the given conditions by the relation

PV = nRT

Here

P = 7.6 \times 1 0^{- 10} mm Hg

= \frac{7.6 \times 1 0 ^{- 10}}{760} atm = 1 \times 1 0^{- 12} atm .

V = 1 litre T = 273 + 0 = 273 K R = 0.082 litre atm. / K / mol

Putting the values in equation

n = \frac{PV}{RT} = \frac{1 \times 1 0 ^{- 12} \times 1}{0.082 \times 273}

moles
Now, since

1

mole contains

= 6.023 \times 1 0^{23}

molecules
So,

\frac{1 0 ^{- 12}}{0.082 \times 273}

moles will have

= \frac{6.023 \times 1 0 ^{23} \times 1 0 ^{- 12}}{0.082 \times 273}

molecules

= 2.7 \times 1 0^{10}

molecules.

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Question Text	Oxygen is present in $1$ litre flask at a pressure of $7.6 \times 1 0^{- 10} mm$ of $Hg$ . Calculate the number of oxygen molecules in the flask at $0^{\circ} C$ .
Updated On	May 11, 2023
Topic	States of Matter
Subject	Chemistry
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	373
Avg. Video Duration	19 min

Oxygen is present in $1$ litre flask at a pressure of $7.6 \times 1 0^{- 10} mm$ of $Hg$ . Calculate the number of oxygen molecules in the flask at $0^{\circ} C$ .

Text solutionVerified

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Oxygen is present in 1 litre flask at a pressure of 7.6×10−10 mm of Hg. Calculate the number of oxygen molecules in the flask at 0∘C.

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Oxygen is present in $1$ litre flask at a pressure of $7.6 \times 1 0^{- 10} mm$ of $Hg$ . Calculate the number of oxygen molecules in the flask at $0^{\circ} C$ .