Question

The volume of a gas with a pressure of 1.2 atm increases from 1.0 L to 4.0 L. What is the final pressure of the gas, assuming constant temperature?Show all your workEdit Format Table12ptParagraphB IV A & Tv |||

Answer 1

Answer:

$0.3\text{ atm}$

Explanation:

Here, we want to get the final pressure of the gas

From Boyle's law, we know that the volume and pressure of a given mass of gas are inversely proportional at a constant temperature

Mathematically:

$P_1V_1\text{ = P}_2V_2$

Where:

P1 is the initial pressure which is 1.2 atm

V1 is the initial volume which is 1.0 L

P2 is the final pressure which is what we want to calculate

V2 is the final volume which is 4.0 L

Substituting the values, we have it that:

$\begin{gathered} 1.2\text{ }\times1\text{ = P}_2\text{ }\times4 \\ P_2\text{ = }\frac{1.2}{4} \\ \\ P_2\text{ = 0.3 atm} \end{gathered}$