Question

The volume of a gas in cubic centimeters, V, varies inversely with the

pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm3, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 1.6 L/cm²

Answer 1

Explanation:

Answer 2

The volume of the gas when the pressure is
`1.6 \mathrm{L} / \mathrm{cm}^(2)` is 200
`cm^3`

Solution:

Given, the volume of a gas in cubic centimeters, V, varies inversely with the pressure of the gas in liters per square centimeter, p.

`\text { Then, } V \alpha (1)/(p)`

`\rightarrow \mathrm{V}=(c)/(p)`

where "c" is proportionality constant.

Given that when the volume of the gas is 16
`cm^3` , its pressure is 20
`L/cm^2`

So, substitute the above values in our formula

`\begin{array}{l}{\rightarrow 16=(c)/(20)} \\\\ {\rightarrow c=16 * 20 \rightarrow \mathrm{c}=320}\end{array}`

Now let us find the volume of the gas when the pressure is
`1.6 \mathrm{L} / \mathrm{cm}^(2)`

`\text { Then, } \mathrm{v}=(320)/(1.6)=200`

Hence, the volume of the gas is 200
`cm^3`