Anonymous
Anonymous asked in Science & MathematicsChemistry · 9 years ago

# boyle's law question?

use boyles law for the following calculation. a sample of gas which occupies a volume of 22.4 ml at a pressure of 1.21 atm is subjected to a decrease in pressure of 82 mmHg. calculate the new volume show work

Relevance

P1V1 = P2V2

22.4mL = .0224 L

82 mmHg = .11 atm, since 760mmHg = 1atm

(1.21atm)(.0224L) = (.11 atm)V

V = 0.2464 = .25 L

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• Ideal gas law: PV=nRT where P is pressure, V is volumes, n is amount of substance of gas, R is the ideal gas constant, and T is temperature. Measured in SI units, n is measured in moles, T in kelvin, and R has a value of 8.314 J/(K·mol).

Since you are dealing with only volume and pressure and the amount of the substance and temperature remain the same, P₁V₁=nRT and P₂V₂=nRT, thus P₁V₁=P₂V₂.

P₁V₁=P₂V₂

Plug in your givens. The gas initially has a volume of 22.4 mL and a pressure of 1.21 atm. After the decrease, it has a pressure of 82 mmHg. So, V₂ is the unknown variable.

(1.21 atm)(22.4 mL)=(82 mmHg)V₂

Another problem arises. The units of pressure on the left don't match the units of pressure on the right, so you have to convert either one to match the other. I suggest converting mmHg to atm. 82 mmHg * (1 atm/(759.99 mmHg)) = .11 atm

Plug that in for 82 mmHg.

(1.21 atm)(22.4 mL)=(.11 atm)V₂

Solve for V₂. Divide by .11 atm.

(1.21 atm)(22.4 mL)/(.11 atm)=V₂

Simplify.

246.4 mL=V₂

V₂=246.4 mL

The reason I use the ideal gas law instead of boyle's law is because you can easily remove whichever variables from the equation that don't change. For example, P and V may remain constant but n and T might change. You don't have to remember multiple equations, just this one.

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• The Kinetic Molecular thought of gasses states that a million)gasses are made out of debris shifting consistently at random severe speeds. 2) V is promptly proptional to T :. the swifter the gas debris flow, the > Temp and > in Kinetic capability 3) debris are independant of one yet another 4) debris are very some distance aside 5) rigidity is brought about via impact of debris on the wall of a field. Boyles regulation: P1V1=P2V2 as a result p and v are promptly proportional. because of fact the speed will boost the debris hit the area of the field swifter :. P will boost Charles regulation: V is promptly proportional to T so as this is in simple terms the 2nd theory interior the Kinetic Molecular thought so in simple terms reexplain it. besides im no longer gonna do the full factor, yet optimistically that provides you with a commencing element. in simple terms look on the equation and evaluate it to the information i gave you on the Kinetic Molecular thought. Goodluck. Msg decrease back in case you get caught returned

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