Complete the following: a. Use the de Broglie relation to determine the waveleng

Question

Complete the following: a. Use the de Broglie relation to determine the wavelength of a helium atom that has a speed of 2.75 times 10^7 m/s. (m He atom = 6.6423 times 10^-27 kg/atom) b. Using Bohr's equation for the energy levels of the hydrogen atom, determine the energy of an electron (in Joules) in the third energy level hydrogen. (R_H = 2.18 times 10^-18 J). The specific heat of copper is 0.385 J/(g middot degree C). If 58.6 g of copper, initially at 40.0 degree C, absorbs 8.25 J, what will be the final temperature of the copper?

Explanation / Answer

a)

WL = h/(mv)

h = Planck Constant = 6.626*10^-34 J s

c = speed of particle (i.e. light) = 3*10^8 m/s

WL = (6.626*10^-34)/((6.6423*10^-27)(2.65*10^7))

WL = 3.76432*10^-15 m

b)

Apply Rydberg Formula

E = R*(1/nf^2)

R = -2.178*10^-18 J

Ni = initial stage/level

E = Energy per unit (i.e. J/photon)

E = (-2.178*10^-18)*(1/3^2)

E = 2.42*10^-19 J/photon

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