Grade 12Physical Chemistry
The wavelength of a neutron with a translator kinetic energy equal to KT at 300 kelvin is?
The wavelength of a neutron with a translator kinetic energy equal to KT at 300 kelvin is?
1 Answer
Arun
you have E= mv^2 /2
so v^2 = 2E/m m of neutron =1.67 10^(-27) kg
so v^2 = 2E/m E = kT = 1.38 10^-23*300 =4.14 10^(-21) J
v^2 = 2*4.14 10^(-21)/1.67 10^(-27) =4.96 10^6 m^2s^-2
v=2.227 10^3 m/s
And
lambda = 6.6210^(-34)/(2.22710*3)*1.67 10^(-27)
lambda=1.78 10^(-10)m =0.178 nm
so v^2 = 2E/m m of neutron =1.67 10^(-27) kg
so v^2 = 2E/m E = kT = 1.38 10^-23*300 =4.14 10^(-21) J
v^2 = 2*4.14 10^(-21)/1.67 10^(-27) =4.96 10^6 m^2s^-2
v=2.227 10^3 m/s
And
lambda = 6.6210^(-34)/(2.22710*3)*1.67 10^(-27)
lambda=1.78 10^(-10)m =0.178 nm
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