Question

If the pressure inside the cylinder increases to 1.6 atm, what is the final volume, in milliliters, of the cylinder?

Answer 1

This is an incomplete question, here is a complete question.

The air in the cylinder with a piston has a volume of 220 mL and a pressure of 650 mmHg.

If the pressure inside the cylinder increases to 1.6 atm, what is the final volume, in milliliters, of the cylinder?

Answer : The final volume of the cylinder is, 117.6 mL

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$

or,

$P_1V_1=P_2V_2$

where,

$P_1$ = initial pressure of gas = 650 mmHg = 0.855 atm   (1 atm = 760 mmHg)

$P_2$ = final pressure of gas = 1.6 atm

$V_1$ = initial volume of gas = 220 mL

$V_2$ = final volume of gas = ?

Now put all the given values in the above equation, we get:

$0.855atm\times 220mL=1.6atm\times V_2$

$V_2=117.6mL$

Therefore, the final volume of the cylinder is, 117.6 mL