Home KINETIC THEORY OF GASES Previous year Questions THERMODYNAMICS At Constant Temperature On Increasing The Pressure Of A Gas By 5% Will Decrease Its Volume By

At Constant Temperature On Increasing The Pressure Of A Gas By 5% Will Decrease Its Volume By

[MP PET 2002]

(a) 5% (b) 5.26% (c)4.26% (d) 4.76%

$\frac{V_{2}}{V_{1}}=\frac{P_{1}}{P_{2}}$

$\frac{V_{2}}{V_{1}}=\frac{100}{105}$

Fractional change in V is

$\frac{\triangle V}{V_{1}}=\frac{V_{2}-V_{1}}{V_{1}}$

$\frac{\triangle V}{V_{1}}=\frac{V_{2}}{V_{1}}-\frac{V_{1}}{V_{1}}$

$\frac{\triangle V}{V_{1}}=\frac{V_{2}}{V_{1}}-1$

$\frac{\triangle V}{V_{1}}=\frac{100}{105}-1$

$\frac{\triangle V}{V_{1}}=\frac{-5}{105}$

Percent change in V is

$\frac{\triangle V}{V_{1}}*100=\frac{-5}{105}*100$

$\frac{\triangle V}{V_{1}}*100=-0.0476*100$

Percent decrease in V is = 0.0476%

Milan Tomic

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