# Question #e70ce

##### 1 Answer

#### Explanation:

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 **Boyle's Law**.

Boyle's Law 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

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

Rearrange the above equation and solve for

#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 **sig figs**.