Question

A gas at pressure 100 atm and volume 3.7 L has the pressure reduced to 32 atm what is the new volume of the gas

Answer 1

The new volume is
`11.6L`

Step-by-step explanation:

This problem is on the application of Boyle's law which states that" the volume of a given mass of gas at constant temperature is inversely proportional to the pressure"

`pressure \alpha (1)/(volume)`

Given data

initial pressure p1= 100atm

initial volume v1= 3.7L

final pressure p2= 32 atm

final volume v2= ?

Apply Boyle's law we have

`p1v1= p2v2\\`

`v2= (p1v1)/(p2)`

Substituting our data we have

`v2= (100*3.7)/(32) \\v2=(370)/(32) \\v2= 11.6 L`

The new volume is
`11.6L`