Question 1057150
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The volume occupied by a fixed weight of gas (held at a constant temperature) varies inversely as the pressure placed on it. 
If a gas occupies a volume of 40 cubic meters under a pressure of 7 atmospheres, find the volume that the gas 
occupies when the pressure is changed to 6 atmospheres.
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<pre>
The condition says that the ratio of volumes is inversely proportional to the ratio of pressures.
In math terms, it means that

{{{V[1]/V[2]}}} = {{{P[2]/P[1]}}}.

Substitute the given values {{{V[1]}}} = 40, {{{P[1]}}} = 7, {{{P[2]}}} = 6:

{{{40/V[2]}}} = {{{6/7}}}

and find {{{v[2]}}} from this proportion:

{{{V[2]}}} = {{{(40*7)/6}}}.

You calculate {{{V[2]}}}.
</pre>