Question

The volume V of a gas varies inversely with the pressure P. When the volume is 75 inches cubed, the
pressure is 30 pounds per square inch.
(a) Find the formula for v in terms of P
(b) What is the volume when the pressure is 25 pounds per square inch?​

Answer 1

Answer:

2730/9

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