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Q.

What should be the percentage increase in the pressure so that the volume of a gas may decrease by 5% at constant temperature ?

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a

5.26%

b

10%

c

4.26%

d

5%

answer is C.

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Detailed Solution

$As temperature is constant P_{1} V_{1} = P_{2} V_{2}$

$if V_{1} = 100 V_{2} = 95$

$P_{2} = \frac{P_{1} 100}{95}$

$% change in pressure = \frac{P_{2} - P_{1}}{P_{1}} \times 100$

$(\frac{100}{95} - 1) \times 100 = \frac{500}{95} = 5.26 %$

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