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# If an aerosol can contained 350mL of CFC gas at a pressure of 4.4 atm , what volume would this gas occupy at 1.0atm?

##"1540 mL"##

Notice that the problem doesn't mention temperature or number of moles of gas, which means that they are being **kept constant**.

When that is the case, volume and pressure have an **inverse relationship** described by .

tells you that when pressure **Increases**, volume decreases, and when pressure **decreases**, volume increases.

Mathematically, this is expressed as

##color(blue)(|bar(ul(color(white)(a/a)P_1V_1 = P_2V_2color(white)(a/a)|)))" "##, where

##P_1##, ##V_1## - the pressure and volume of the gas at an initial state ##P_2##, ##V_2## - the pressure and volume of the gas at a final state

In your case, the pressure **decreases** from ##4.4## **atm** to ##1.0## **atm**, which means that you should expect the volume of the gas to **increases**.

Rearrange the above equation and solve for ##V_2##

##P_1V_1 = P_2V_2 implies V_2 = P_1/P_2 * V_1##

Plug in your values to get

##V_2 = (4.4 color(red)(cancel(color(black)("atm"))))/(1.0color(red)(cancel(color(black)("atm")))) * "350 mL" = color(green)(|bar(ul(color(white)(a/a)"1540 mL"color(white)(a/a)|)))##

The answer is rounded to three .