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

`0.3\text{ atm}`

Step-by-step 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{ }*1\text{ = P}_2\text{ }*4 \\ P_2\text{ = }(1.2)/(4) \\ \\ P_2\text{ = 0.3 atm} \end{gathered}`