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

Respuesta :

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.

[tex]P\propto \frac{1}{V}[/tex]

or,

[tex]P_1V_1=P_2V_2[/tex]

where,

[tex]P_1[/tex] = initial pressure of gas = 650 mmHg = 0.855 atm   (1 atm = 760 mmHg)

[tex]P_2[/tex] = final pressure of gas = 1.6 atm

[tex]V_1[/tex] = initial volume of gas = 220 mL

[tex]V_2[/tex] = final volume of gas = ?

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

[tex]0.855atm\times 220mL=1.6atm\times V_2[/tex]

[tex]V_2=117.6mL[/tex]

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

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