Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #c3048

1 Answer

Mar 22, 2017

The volume will quadruple (i.e. become 4 times the original volume).

Explanation:

The combined gas law states that $\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$ $(P_1V_1)/T_1 = (P_2V_2)/T_2$ .

Let's say $P_{1} = P$ $P_1 = P$ , $V_{1} = V$ $V_1 = V$ , and $T_{1} = T$ $T_1 = T$ .

That means that $P_{2} = \frac{1}{2} P$ $P_2 = 1/2P$ , and $T_{2} = 2 T$ $T_2 = 2T$ .

Now, let's plug in all of these variables and solve for $V_{2}$ $V_2$ .

$\frac{P V}{T} = \frac{(\frac{1}{2} P) V_{2}}{2 T}$ $(PV)/T = ((1/2P)V_2)/(2T)$

$\frac{P V}{T} = \frac{P V_{2}}{4 T}$ $(PV)/T = (PV_2)/(4T)$

$(color(red)cancelPV)/color(blue)cancelT = (color(red)cancelPV_2)/(4color(blue)cancelT)$

$V = V_2/4$

$4V = V_2$

Therefore, the volume will quadruple.

Related questions

See all questions in Combined Gas Law

Impact of this question

1832 views around the world

You can reuse this answer
Creative Commons License