Question

The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters.

Answer 1

According to Boyle's law, the volume of a gas is inversely proportional to its pressure at constant temperature. To determine the pressure when the volume is 60 cubic centimeters, we can set up an equation using Boyle's law and solve for the unknown pressure.

Step-by-step explanation:

According to Boyle's law, the volume of a gas is inversely proportional to its pressure at constant temperature. This means that as the volume increases, the pressure decreases, and vice versa.

1. To solve this problem, we can set up an equation using Boyle's law:
2. Let's say x is the pressure when the volume is 60 cubic centimeters.
3. Using the given information, we can write the equation: 32 * 8 = 60 * x.
4. Simplifying the equation, we have: 256 = 60x.
5. Dividing both sides by 60, we get x = 256/60.

Therefore, the pressure when the volume is 60 cubic centimeters is approximately 4.27 pounds.

Answer 2

When the volume is 60 cubic centimeters, the pressure is 4.26 pounds

Step-by-step explanation:

Let V be the volume of the gas and P be its pressure.

The volume of a gas in a container varies inversely with the pressure on the gas:

V = k/P

VP = k, where k represents constant temperature

Given the volume is 32 cubic centimeters at a pressure of 8 pounds

where V1 = 32, P1 = 8 ... (1)

The pressure when the volume is 60 cubic centimeters,

V2 = 60, P2 = ? ... (2)

Comparing eq (1) and (2)

V1 P1 = V2 P2

32 (8) = 60 (P2)

256 = 60 (P2)

P2 =
`(256)/(60)`

P2 = 4.26 pounds