Question

The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volumeof 230 cubic inches under a pressure of 8 pounds per square inch, what will be its volume if thepressure is increased to 18 pounds per square inch? (Round off your answer to the nearest cubic inch.)

Answer 1

Step-by-step explanation:

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

Let V represent volume

Let P represent Pressure

Rewrting the statement above Mathematically:

`\begin{gathered} V\text{ }\alpha\text{ }(1)/(P) \\ V\text{ = k}(1)/(P) \end{gathered}`

when V = 230 in³

P = 8 lb/in³

Substitute the value of P and V in the equation in order to ger k: