What pressure must be applied to a given sample of a gas in order to compress it to three-fourth of its original volume ?

Solution

According to Boyle’s law
P₁V₁ = P₂V₂From the given data,

straight P subscript 1 straight V subscript 1 space equals space straight P subscript 2 space cross times space 3 over 4 straight V subscript 1 therefore space space space space space space space straight P subscript 2 space equals space 4 over 3 straight P subscript 1

Thus, the pressure applied must be

4 over 3

times the original pressure.

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