Question

7. A gas has a volume of 300 mL at 300 mm Hg. What will its volume be if the pressure is changed to 500 mm Hg?​

Answer 1

Answer:

The volume is

180 mL

Explanation:

In order to solve for the volume we use the formula for Boyle's law which is

$P _{1} V _{1} = P _{2}V _{2}$

where

P1 is the initial pressure

V1 is the initial volume

P2 is the final pressure

V2 is the final volume

Since we are finding the final volume we are finding V2

Making V2 the subject we have

$V _{2} = \frac{P _{1} V _{1}}{P _{2} }$

From the question

P1 = 300 mmHg

V1 = 300 mL

P2 = 500 mmHg

Substitute the values into the above formula and solve for the final volume obtained

That's

$V _{2} = \frac{300 \times 300}{500} \\ = \frac{90000}{500} \\ = \frac{900}{5}$

We have the final answer as

180 mL

Hope this helps you