Question

Part A.

How much energy is contained in 1 mol of each of the following?
γ-ray photons with a wavelength of 2.63×10⁻⁵ nm.

_____________ kJ/mol

Part B.
An electron traveling at 5.6×10⁵ m/s has an uncertainty in its velocity of 1.25×10⁵ m/s .
What is the uncertainty in its position?
Express your answer with the appropriate units.

Δx = __________

Please help

Answer 1

E = hc/WL

h = planck constant = 6.63*10^-34

c = 3*10^8 speed of light

WL in me

E = (6.63*10^-34)(3*10^8)/((2.63*10^-5)*10^-9) = 7.5627*10^-12 J/photon

1 mol = 6.022*10^23 mol photon

E = (7.5627*10^-12)(6.022*10^23) = 4.554*10^12 J/mol photon = 4.554*10^9 kJ/mol photon

B)

Given dv = 1.25*10^5 m/s

the uncertainty is:

dx = h/4pi*m*dv

h = (6.626*10^-34) (Planck Constant)

pi = 3.1416..

m = mass of particle = mass of an electron = 9.11*10^-31 kg

Substitute all data in equation:

dx = (6.626*10^-34)/((4*3.141592*9.11*10^-31)*(1.25*10^5))

dx =4.6303*10^-10 m