SOLUTION: 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 p
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Question 1057150: 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. Answer by ikleyn(52790) (Show Source):
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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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The condition says that the ratio of volumes is inversely proportional to the ratio of pressures.
In math terms, it means that
= .
Substitute the given values = 40, = 7, = 6:
=
and find from this proportion:
= .
You calculate .
