* my way of memorizing it: (P)rime(M)inister/(R)ight(T)
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daltons law
* Ptotal = P1 + P2 +…Pn * were P1 is the partial pressure of gas one, P2 is the partial pressure of gas two (and so on) * Pgas = Ptot - PH2O * where PH2O is the vaper pressure of water * P1 = X1 \* Ptot * where X1 is the mole fractio
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kinetic theory (formulas)
* Etrans = 1/2 \* m \* u^2 = C \* T * m1u1^2 = m2u2^2 * rate2/rate1 = (M1/M2)^(1/2) = time1/time2 * u = (3RT/M)^(1/2) where R = 8.31 (g\*m^2)/(s^2\*mol\*K)
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real gases vs. ideal gases
* real gases deviate from ideal gases * gas molecules attract each other * gas molecules occupy a finite volume * they deviate **most** at high pressures and low temps (smaller mean free path) and **least** at low pressures and high temperatures (bigger mean free path) * deviation is so small it’s negligible
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kinetic theory (theory)
* explains the effects of temperature and pressure on matter * all matter is composed of small particle * these particles are in constant motion * collisions between particles are perfectly elastic (no change in total kinetic energy of the system)
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mean free path
describes the average distance a molecule will travel before colliding with another molecule
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what factors increase the mean free path
temperature, the number of particles in a given volume, and the mass of the given particles
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pressure
* created by the force and the number of gas molecule collisions on a container wall * pascal is the SI unit of pressure (1 Pa = 1 N/m^2) * 101.325 kPa = 1 atm = 760 mm Hg * nanometers and barometers are used to measure gas pressure using column of mercury * nanometers - open and closed arm
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calculation for closed arm nanometer
gas pressure = height change
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calculation for open arm nanometer
depends on which side of the mercury is the highest