Question

A sample of chlorine gas occupies a volume of 707 ml at 2.90 atm. What is the new pressure in torr if the volume is compressed to 0.533 L?

a: 3,850 torr
b: 3.85 torr
c: 291 torr
d: 2,920 torr

Answer 1

The new pressure is 3850 torr.

Step-by-step explanation:

The relation between volume and pressure is inverse as per Boyle's law. Its mathematical form is given by :

`P_1V_1=P_2V_2`

Here,

`P_1=2.9\ atm`

`V_1=707\ mL`

`V_2=0.533\ L`

Let
`P_2` is the new pressure. So using Boyle's law we get :

`P_2=(P_1V_1)/(V_2)\\\\P_2=(2.9* 707)/(0.533)\\\\P_2=3846.71\ \text{torr}`

or

`P_2=3850\ \text{torr}`

So, the new pressure is 3850 torr.