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Q.

A bicycle tyre has a volume of 500cm3. If this is inflated with nitrogen gas to a pressure of 6.0 atm at 300K, the number of molecules in the inflated tyre is

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a

\large 7.34 \times {10^{23}}

 

b

7.34 \times {10^{22}}

 

c

14.68 \times {10^{22}}

 

d

14.68 \times {10^{23}}

 

answer is B.

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Detailed Solution

detailed_solution_thumbnail
n = \frac{{PV}}{{RT}} = \frac{{6 \times 1 \times 12}}{{300 \times 2 \times 1}} = 0.12\,mol

 

 

number of molecules in the inflatted tyre is

0.12 \times 6.023 \times {10^{23}} = 7.34 \times {10^{22}}

 

 

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