The pressure of gas in a 600.0 mL cylinder is 65.0mm Hg.?

Question

To what volume must it be compressed to increase the pressure to 385 mm Hg.
Please explain.

Answer 1

use the equation P1V1 = P2V2
then P1= 65.00mmHg
V1= 600.00mL
P2= 385 mmHg

so to calculate for the value of V2:

V2= (P1V1) / P2
= (65.00mmHg * 600.0mL) / 385mmHg
= 39 000 mmHg - mL / 385mmHg
you can now cancel the mmHg unit and you will be left with the mL unit for your volume.
= 101.299 mL
your final answer should be 101 mL because you should only have 3 significant figures in you answer.

Answer 2

pV = nRT If temperature constant then pV = constant

And p1V1 = p2V2

so V2 = p1V1/p2 p1 = 65 V1 =600 p = 385

V2= 600*65 /385 =101 mL