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Gas Laws

Gas Laws. Boyle’s, Charles’, Avogadro's, Gay-Lussac’s Combined Gas law and The Ideal Gas Law. Ideal Gas Law. PV=nRT The ideal gas law can be applied to most gas law problems. Keep in mind that if a condition does not change, it can be considered a constant. Gas Law Problems.

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Gas Laws

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  1. Gas Laws Boyle’s, Charles’, Avogadro's, Gay-Lussac’s Combined Gas law and The Ideal Gas Law

  2. Ideal Gas Law PV=nRT The ideal gas law can be applied to most gas law problems. Keep in mind that if a condition does not change, it can be considered a constant.

  3. Gas Law Problems If a sample of gas occupies a 400ml vessel which has a pressure of 5.2 atm, has the volume increased to 2.4L, what is the new pressure of the vessel? PV=nRT nRT = constant therefore P1V1 = P2V2 .4L(5.2atm) = 2.4L(P2) 0.87atm = P2

  4. Another example Suppose that in a gas thermometer the gas occupies 12.6ml at 20C. The thermometer is immersed in boiling water (100C). What is the volume of the gas at 100C? PV=nRT Rearrange V/T = nR/P where nR/P = constant Therefore V1/T1 = V2/T2 12.6ml/(293K) = V2/373K 16.04ml = V2

  5. Another Example Calculate the volume in liters occupied by .55kg of dimethyl ether, C2H6O at 950mmHg and 15C. PV=nRT .55kg 1000g 1mol = 11.96mol 1kg 46.1g V = 11.96mol(.0821atm L/mol K)(288K) / (950/760) V = 226L

  6. Ideal Gas Law…with a twist PV=nRT n=mass/molar mass n=m/m substitute PV=mRT/m Also keep in mind that d=m/V (d=density) rearrange P=mRT/mV therefore P=dRT/m

  7. Another Example An unknown diatomic gas has a density of 3.164g/L at STP. What is the identity of the gas? m=dRT/P m= (3.164g/L)(.0821atm L/mol K)(273K)/1atm m=70.91g therefore the gas is Cl2

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