Question

The volume, V, of gas varies inversely with the pressure, P, on it. If the volume is 320 cm^3 under pressure of 40 kg/cm^2, what pressure has to be applied to have a volume of 200 cm^3?

Fill in the blank:

Answer: _________ kg/cm^2

Answer 1

The pressure
`64kg/cm^(2)` has to be applied to have a volume of
`200cm^(3)`

Step-by-step explanation:

According to Boyle's law, for a fixed amount of gas, the volume and pressure are inversely proportional.

`P_(1) \cdot V_(1)=P_(2) \cdot V_(2)`

Substituting the values, we get,

`40 * 320=P_(2) * 200`

Dividing both sides by 200,

`(40 * 320)/(200)=P_(2)`

Simplifying the terms, we get,

`\begin{aligned}(12800)/(200) &=P_(2) \\64 &=P_(2)\end{aligned}`

Thus, the pressure
`64kg/cm^(2)` has to be applied to have a volume of
`200cm^(3)`