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Question: A gas occupied a volume of 250 ml at 700 mm Hg pressure and \(25 ^ { \circ } \mathrm { C }\) . What...

A gas occupied a volume of 250 ml at 700 mm Hg pressure and 25C25 ^ { \circ } \mathrm { C } . What additional pressure is required to reduce the gas volume to its 4/5th value at the same temperature

A

225 mm Hg

B

175 mm Hg

C

150 mm Hg

D

265 mm Hg

Answer

175 mm Hg

Explanation

Solution

P1V1=P2V2P _ { 1 } V _ { 1 } = P _ { 2 } V _ { 2 }

700×250=P2×(45×250)700 \times 250 = P _ { 2 } \times \left( \frac { 4 } { 5 } \times 250 \right) ; P2=875 mmHgP _ { 2 } = 875 \mathrm {~mm} \mathrm { Hg }

Additional pressure required = 875 – 700 = 175 mm Hg