The air in a cylinder with a piston has a volume 220 ml and pressure of 650 mm hg. If the pressure inside the cylinder increase to 1.2 atm. what is the final volume of the cylinder? Complete the following data table.

To find the final volume of the cylinder, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is kept constant.

Boyle's Law formula:

P1 * V1 = P2 * V2

Given:
P1 = 650 mm Hg = 650/760 atm
V1 = 220 ml
P2 = 1.2 atm
V2 = ?

Using the formula, we can solve for V2:

(650/760) * 220 = 1.2 * V2

(0.8553) * 220 = 1.2 * V2
187.766 = 1.2 * V2

Divide both sides by 1.2 to solve for V2:

V2 = 187.766 / 1.2
V2 ≈ 156.47 ml

Completing the data table:

Initial volume (V1) = 220 ml
Initial pressure (P1) = 650 mm Hg
Final pressure (P2) = 1.2 atm
Final volume (V2) ≈ 156.47 ml

To find the final volume of the cylinder, we can use the Boyle's Law equation, which states that the product of the initial pressure and initial volume is equal to the product of the final pressure and final volume.

Boyle's Law equation: P1 * V1 = P2 * V2

Given:
Initial volume (V1) = 220 ml
Initial pressure (P1) = 650 mmHg
Final pressure (P2) = 1.2 atm

Now, we need to convert the units to make them consistent. The conversion factors we will use are:
1 atm = 760 mmHg
1 ml = 1 cm³

Converting the initial pressure:
650 mmHg * (1 atm / 760 mmHg) = 0.8553 atm

Substituting the values into the Boyle's Law equation:
(0.8553 atm) * (220 ml) = (1.2 atm) * (V2)

Simplifying the equation:
V2 = (0.8553 atm * 220 ml) / (1.2 atm)

Calculating the final volume:
V2 = 157.18 ml

Therefore, the final volume of the cylinder is 157.18 ml.

No data table.

P1V1 = P2V2 will calculate the final volume. Remember to change 50 mm Hg or 1.2 atm to the same unit.