Question

What should be the percentage increase in the pressure si that the volume of a gas may decrease by5% at constant temperature ?
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Answer 1

Answer:

Explanation:

pv=nrt

therefore,

let change in pressure be (100 +x)/100

decrease in volume is 5%

rhs is constant(since there is no change in temperature)

$(\frac{100+x}{100})$P * $\frac{95}{100}$ V = P*V

on simplifying

$\frac{9500+95x}{10000} = 1 \\\\ 9500+ 95x = 10000\\95x= 500\\\\x = \frac{500}{95}$

thus percentge increase in pressure is 5.263157%