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

Answer:

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 = $\frac{256}{60}$

P2 = 4.26 pounds