Question

A syringe has a volume of 10.0cm^3 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 at 3.5 atm?

Answer 1

Answer: The final volume will be $2.86cm^3$

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$     (At constant temperature and number of moles)

$P_1V_1=P_2V_2$

where,

$P_1$ = initial pressure of gas = 1 atm

$P_2$ = final pressure of gas = 3.5 atm

$V_1$ = initial volume of gas = $10.0 cm^3$

$V_2$ = final volume of gas = ?

$1\times 10=3.5\times V_2$

$V_2=2.86cm^3$

Therefore, the final volume will be $2.86cm^3$