Question

A syringe has a volume of
10.0 cm3 at pressure 1 atm. If
you plug the end so that no gas
can escape and push the plunger
down, what must be the final
volume to change the pressure
to 3.5 atm?
​

Answer 1

Answer:

The correct answer will be 2.856 cm^3

Explanation:

According to the problem the at first the syringe has the volume of 10.0 cm^3 of gas at 1 atm

Therefore, p1 = 1 atm and v1 = 10 cm^3

Then, after plugging the pressure is changed to 3.5 atm,

p2 = 3.5 atm

As the temperature of the gas in the syringe is remain constant,

Therefore,

we can use Boyle's gas law

therefore,

p1v1 = p2v2

=> 1 x 10 = 3.5 x v2

=> v2 = 2.857 cm^3