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The average kinetic energy of an atom in a monatomic ideal gas is given by KE=(3/2)kT,where...

The average kinetic energy of an atom in a monatomic ideal gas is given by KE=(3/2)kT,where k = 1.38

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Answer #1

average KINETIC ENERGY= 3/2 *K*T = 3/2*1.38*10^-23*292=6.044*10^-21J

6.044*10^-21J = hc/lamda

lamda = 6.626*10^-34*3*10^8/(6.044*10^-21)

lamda =3.28*10^-5m

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Answer #2

K.E = (1/2)m*v^2 = (3/2)kT

or, (1/2)(6.65*10^-27)(v^2) = (3/2)(1.38*10^-23)(292)

or, v = 1348.28 m/s

now, de Broglie wavelength ,L = h/mv = (6.63*10^-34)/{(6.65*10^-27)*(1348.28)} = 7.395*10^-11 m = 0.07395 nm

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