A carbon dioxide laser is an infrared laser. A CO2 laser with a cavity length of 53.00 cm oscillates in the m = 100,000 mode. What is the wavelength of the laser beam?

5.3 × 10^-4 m or 0.0000053m

Explanation:

Wavelength is given by 2L/m

Where m is the waves bewtween the cavity mirrors which is 100000

L is the cavity length which is 53.00 cm

53/100 (convert to meter) =0.53m

Therefore the wavelength is (2 × 0.53m)/100,000

=0.0000053

= 5.3 × 10^-6 m

n2(g) + 3h2-> 2nh3(g)   this is the balanced equation

note the mole ratio between n2, h2 and nh3.   it is 1 : 3 : 2   this will be important.

moles n2 present = 28.0 g n2 x 1 mole n2/28 g = 1 mole n2 present

moles h2 present = 25.0 g h2 x 1 mole h2/2 g = 12.5 moles h2 present

based on mole ratio, n2 is limiting in this situation because there is more than enough h2 but not enough n2.

moles nh3 that can be produced = 1 mole n2 x 2 moles nh3/mole n2 = 2 moles nh3 can be produced

grams of nh3 that can be produced = 2 moles nh3 x 17 g/mole = 34 grams of nh3 can be produced

note:   the key to this problem is recognizing that n2 is limiting, and therefore limits how much nh3 can be produced.