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vjk2
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1. You have a container of 3300 cm^3. Half of it is diatomic oxygen and half is monotonic helium. Pressure is 17 atm and temperature is 25 degrees C. How many molecules of each substance are in it?
2. PV = 2/3 N(1/2 mv^2) -> PV = 2/3 N (K) -> N = 1.5 PV/K
K_monotonic = 3/2kT = 3/2 (1.38*10^-23)(298k)
k_diatonic = 5/2kT = 5/2 (1.38*10^-23)(298k)
3. N=1.5(17atm*(1Pa/9.869*10^-6 atm)*1650 cm^3 * 1m^3/10^6 cm^3))/((3/2) 1.38*10^-23)(298k))
3/2 factors cancel out. after all the math I get 6.91*10^23.
diatomic is basically 3/5 of that number, 4.15*10^23
2. PV = 2/3 N(1/2 mv^2) -> PV = 2/3 N (K) -> N = 1.5 PV/K
K_monotonic = 3/2kT = 3/2 (1.38*10^-23)(298k)
k_diatonic = 5/2kT = 5/2 (1.38*10^-23)(298k)
3. N=1.5(17atm*(1Pa/9.869*10^-6 atm)*1650 cm^3 * 1m^3/10^6 cm^3))/((3/2) 1.38*10^-23)(298k))
3/2 factors cancel out. after all the math I get 6.91*10^23.
diatomic is basically 3/5 of that number, 4.15*10^23