# 100.0 mL of gas is placed into a syringe, what is the new volume if....? A)the pressure is doubled?b)the pressure is tripled?C)the pressure is one quarter the orginal pressure? pl i need this...

100.0 mL of gas is placed into a syringe, what is the new volume if....?

A)the pressure is doubled?

b)the pressure is tripled?

C)the pressure is one quarter the orginal pressure?

pl i need this answers for today pl thank you

lynn30k | High School Teacher | (Level 1) Educator

Posted on

Boyle's law states that:

P1V1=P2V2    P is pressure, V is volume.  In other words, as pressure goes up, volume goes down.

For A., P1 (100ml) = 2 (P1)(V2)  since we can say that P2 is twice P1. So we can divide each side by 2(P1) to get V2, or

1/2(100ml)=V2 or 50ml = V2.  When the pressure is doubled, the volume is cut in half.

Now you work out B and C; the pressure is tripled, so the volume is 1/3 for B, and since the pressure is DOWN by a factor of 4 in c, the volume increases by a factor of 4 (4 times the initial pressure.)