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**The question** Using the Maxwell-Boltzmann speed distribution, determine the f

ID: 785809 • Letter: #

Question

**The question**

Using the Maxwell-Boltzmann speed distribution, determine the fraction of

nitrogen molecules at 298 K that are moving with sucient energy to break a hydrogen bond

between two water molecules existing as a "dimer" in the gas phase. You will have to figure

out what the strength of the bond is (by googling or otherwise) and also learn about, and

use, something called the "error function" to solve this problem. After figuring all of this

out, determine what fraction of N2 molecules can break the bond at 2000 K.


**equation**

**Attempts at this problem***

I found the strength of a N2 bond to be 38.4 Kcal or 945.33 KJ/mol

The mass of N2 is = 28/avogadro's # = 4.6 x 10^{-23} g = 4.6 x 10^{-26} kg

K=1.38 x 10^{-23}

T=298


The real problem that I am having is figuring out how to solve the error function and how to find t. I do know that the equation for average <v>=(8KT/pi*m)^1/2 .

**The question** Using the Maxwell-Boltzmann speed distribution, determine the fraction of nitrogen molecules at 298 K that are moving with sucient energy to break a hydrogen bond between two water molecules existing as a "dimmer" in the gas phase. You will have to figure out what the strength of the bond is (by go ogling or otherwise) and also learn about, and use, something called the "error function" to solve this problem. After figuring all of this out, determine what fraction of N2 molecules can break the bond at 2000 K. **equation** 1 - er f(at) + (2a/ pi 1/2) te-a2t2 where a = (m/2KT)1/2 **Attempts at this problem*** I found the strength of a N2 bond to be 38.4 Kcal or 945.33 KJ/mol The mass of N2 is = 28/avogadro's # = 4.6 x 10^{-23} g = 4.6 x 10^{-26} kg K=1.38 x 10^{-23} T=298 The real problem that I am having is figuring out how to solve the error function and how to find t. I do know that the equation for average =(8KT/ pi *m)^1/2 .

Explanation / Answer

give me the equation not the expression