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:
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
