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Question

A one litre closed vessel was maintained at constant temperature, contains 5×1012 molecules of an ideal gas. How many molecules remain if the volume of the vessel is reduced to 0.05 litres?

A
5 x 1012
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B
0.25 x 1012
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C
2.5 x 1010
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D
1 x 1015
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Solution

The correct option is C 0.25 x 1012
Volume = 1 L
To contain 5×1012 molecules of gas at constant temperature.
Since, Vn (Avogadro's Law)
V1n1=V2n2V2=0.05LV1=1Ln1=5×1012n2=n1×V2V1=5×1012×0.05L1L=0.25×1012


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