Question

A gas occupies a volume of 60 L at a temperature of 0.5 K. What will the volume be at 4 K?

Answer 1

Answer:

480 L

Explanation:

In order to solve this question, you should be familiar with gas laws. (I will attach a picture showing all of them under my answer.) In this question in particular, however, we only need Charles's Law because we're dealing with temperature and volume.

As we can see, Charles's Law is:

$\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }$

or, initial volume over initial temperature equals final volume over final temperature.

In this question, 60 L is our initial volume, and 0.5 K is our initial temperature (K being Kelvin). We are only given 4 K as our final temperature. We are asked to solve for the final volume. Let's set up the equation and solve for $V_{2}$:

--------------------------------------------------------------------------------------------------------------

(60) / (0.5) = $V_{2}$ / (4)

↓

120 = $V_{2}$ / 4

×4           ×4

↓

$V_{2}$ = 480 L

--------------------------------------------------------------------------------------------------------------

There's our answer! Feel free to comment if you have any questions about my answer :)