A cubic box with sides of 20.0 cm contains 2.00 1023 molecules of helium with a root-mean-square speed (thermal speed) of 200 m/s. The mass of a helium molecule is 3.40 10-27 kg.
What is the average pressure exerted by the molecules on the walls of the container? The Boltzmann constant is 1.38 10-23 J/K and the ideal gas constant is R = 8.314 J/molK = 0.0821 L atm/mol K.
A) 3.39 kPa B) 1.13 kPa C) 570 Pa D) 9.10 Pa E) 2.26 kPa
Question 2
An electron is bound in an infinite square-well potential (a box) on the x-axis. The width of the well is L and the well extends from x = 0.00 nm to
In its present state, the normalized wave function of the electron is given by: (x) = sin (2x/L). What is the energy of the electron in this state?(h = 6.626 10-34 J s, mel = 9.11 10-31 kg, 1 eV = 1.60 10-19)
A) 0.10 eV
B) 0.052 eV
C) 0.13 eV
D) 0.078 eV
E) 0.026 eV
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