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

Answer:

The new pressure is 3850 torr.  

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 :

$P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{2.9\times 707}{0.533}\\\\P_2=3846.71\ \text{torr}$

or

$P_2=3850\ \text{torr}$

So, the new pressure is 3850 torr.