Question

If an oxygen molecule had the energy required to dissociate, what could its velocity be?

What would its temperature be at this velocity?

What wavelength of light could it emit?

What color is this?

Answer 1

energy required to dissociate oxygen molecule = 498 KJ/mol
                                                                                                  = 498*1000 / (6.022*10^23 ) J/molecule
                                                                                                  = 8.3*10^-19 J/molecule

mass of 1 molecule = 32u
                                        = 32*1.673*10^-27 Kg
                                        = 5.4*10^-26 Kg

use:
E = 0.5*M*V^2
8.3*10^-19 = 0.5* 5.4*10^-26 * V^2
V= 5544.4 m/s

Answer: velocity is   5544.4 m/s
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Rms speed = sqrt (3*R*T/M)
where M is molar mass in Kg = 0.032 Kg
5544.4 = sqrt (3*8.314*T/0.032)
T = 39440 K
Answer: Temperature is 39440 K
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use:
E = h*c/wavelength
8.3*10^-19= (6.626*10^-34)*(3*10^8) / wavelength
wavelength = 2.39*10^-7 m
                         = 239 nm
Answer: wavelength is 239 nm

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It is ultraviolet