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Question

# N2 gas is present in one litre flask at a pressure of 7.6×10−10 mm of Hg. The number of N2 gas molecules in the flask at OoC is?

A
2.68×109
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B
2.68×1010
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C
1.34×1028
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D
2.68×1022
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Solution

## The correct option is C 2.68×1010To calculate the number of moles of the gas under the given condition by the relation PV=nRT P=7.6×10−10 =7.6×10−10760atm=1×10−12atmV=1litre T=273+0=273K R=0.082litratm/K/molsubstituting the values in equationn=PVRT=1×10−12×10.082×273molesNow since 1mole=6.023×102310−120.082×273=6.023×1023×10−120.082×273 =2.7×1010molecule

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