There are 40 ml of air in a large syringe. With the exit hole plugged, you squeeze the air down to about 10 ml. If the original pressure was 1.0 atmosphere, how much pressure do you need to exert to squeeze it down to 10 ml in atmospheres?

Question

There are 40 ml of air in a large syringe.  With the exit hole plugged, you squeeze the air down to about 10 ml.  If the original pressure was 1.0 atmosphere, how much pressure do you need to exert to squeeze it down to 10 ml in atmospheres?

Damon · Accepted Answer

P V = n R T
n stays the same
R stays the same
T stays the same (not really but assume so)
P1 V1 = P2 V2
1 * 40 = P2 * 10
P2 = 4 atm

In real life if you squished it fast it would get hot but assume let cool.