# a certain mass of a gas occupies 39 ml at 760 mm pressure .what volume would it occupy if the pressure is raised to 780 mm provided that temperature remains constant?

Please find below the solution to the asked query:

The numerical will be solved by Boyle's Law which says :

At constant temperature,for a fixed mass of gas,volume is inversely proportional to pressure.

PV=constant

Formula used :

P

_{1}V

_{1}=P

_{2}V

_{2}

Here,P

_{1}= 760mm

P

_{2}= 780mm

V

_{1}= 39 ml

V

_{2}=?

${V}_{2}=\frac{{P}_{1}\times {V}_{1}}{{P}_{2}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}{V}_{2}=\frac{760\times 39}{780}=38\text{ml}$

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