A 4.0 L sample of hydrogen gas at 700 mmHg would occupy what volume at 250 mmHg?

1 Answer
Jul 18, 2016

color(indigo)("That sample of hydrogen would occupy a new volume of 11L")That sample of hydrogen would occupy a new volume of 11L

Explanation:

We can calculate the answer using Boyle's Law which shows that there is an inverse relationship between pressure and volume as long as the temperature and number of moles remain constant.

The equation we use is:
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color(hotpink)("Let's write down what we know and what we don't know based")Let's write down what we know and what we don't know based
color(hotpink) "on the information given to us:"on the information given to us:

The first volume has a value of 4.04.0 L, the first pressure is 700mmHg,700mmHg, and the second pressure is 250 mmHg250mmHg. Our only unknown is the second volume.

All we have to do is rearrange the equation to solve for V_2V2

We do this by dividing both sides by P_2P2 to get V_2V2 by itself:
V_2=(P_1xxV_1)/P_2V2=P1×V1P2

Now all we have to do is plug in the given values:
V_2=(700\cancel"mmHg" xx 4.0\"L")/(250cancel"mmHg") = 11 L