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.
The pressure is____
pounds

Answer 1

Step-by-step explanation:

Given that,

The volume of gas in a container at a constant temperature varies inversely as the pressure.

$V_1=32\ cm^3\\\\P_1=8\ \text{pounds}\\\\V_2=60\ cm^3$

We need to find pressure $P_2$.

According to question,

$\dfrac{V_1}{V_2}=\dfrac{P_2}{P_1}$

Putting all the values

$P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{8\times 32}{60}\\\\P_2=4.26\ \text{pounds}$  

So, the pressure is 4.26 pounds.