Question

Gases	Color	Energy (E, ev)	Wavelength (λ, nm)	1/λ (1/nm)
H2	Blue Green Orange Red	2.31 2.30 2.10 2.00	538 540 580 620	1.86 x 10^-3 1.85 x 10^-3 1.72 x 10^-3 1.61 x 10^-3
Ne	Green Yellow Yellow Orange Orange Red	2.25 2.14 2.10 2.01 2.05 1.90	550 580 590 605 610 650	1.82 x 10^-3 1.72 x 10^-3 1.69 x 10^-3 1.65 x 10^-3 1.64 x 10^-3 1.54 x 10^-3
Hg	Purple Blue Green Yellow Red	2.85 2.52 2.29 2.14 2.04	435 490 546 579 607	2.30 x 10^-3 2.04 x 10^-3 1.83 x 10^-3 1.73 x 10^-3 1.64 x 10^-3

1. Show the calculation of Planck's constant mercury, hydrogen, and neon.

2. Using equations 1 and 2 from the introduction, derive the equation that will allow you to find Planck's constant from your graph. (Hint: Remember the equation for a straight line is y=mx+b)

3. Average all of the calculated values of Planck's constant you obtained. Calculate the percent error of this value compared to the accepted value of Planck's constant.

4. Compare the averaged value of Planck's constant determined in Question #3 to the accepted value. Did you obtain a value of Planck's constant that was within 10% of the literature value? If not, explain why.

Equations

i. 1 eV = 1.602 x 10^-19 J
ii. 1 nm = 1 x 10^-9 m
iii. c = 2.998 x 10^8 m/s

Answer 1

d. Percentage error is only 0.31% which is in the 10% range of Planck's value.