the volume V of a gas that is kept at a constant temperature varies inverserly as the pressure P. if the pressure of a gas is 30 pounds of a gas is 10 pounds per square inch (lbs/in2) the volume is 12ft what will be the volume when the pressure is 24 lbs/in ?
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Answer:
Let V = the gas' volume and P = its pressure. The volume of a gas in a container varies inversely with the pressure on the gas:
V = k/P
where k is a constant. To find the value of k, plug in the one known point, V = 390 cubic inches when P = 7 pounds per square inch and solve for k:
V = k/p
390 = k/7
390*7 = k
2730 = k
The full equation, then, is:
V = 2730/P
To find the volume when P = 9 pounds per square inch:
V = 2730/9 = _____ cubic inches
Step-by-step explanation:
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Answer:
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