Corresponding Wavelength Problem?

Question

I have 2 quick problems that I need some assistance solving!

1. What is the corresponding wavelength of a neutron traveling at 4.56 x 10^4 m/s, whose mass is 1.00866 amu.

-The main part giving me trouble on this is how I should convert amu into a functional unit for the formula to solve for wavelength.

2. List the following in decreasing order of size: Ca, Ti4+, Sc3+
-I understand that atoms and ions grow larger through the periodic table as they move down and left, but am unsure when an electron moves from a charged state to a noble gas version.


Thanks in advance!

Answer 1

1 amu = 1.660538782(83) × 10−27 kg

I don't know what you mean by "noble gas version". I wouldn't think the loss of a few electrons in a heavy element would have much effect on size. However, Ca Ti and Sc are close in atomic number, Ti = 22 Sc = 21 Ca = 20. The number of electrons in Ti4+ is 22-4 = 18, in Sc 3+ is 21-3 = 18.

Answer 2

1 a.m.u x Avogadro's number = 1 g; you need kg or you get an answer wrong by a factor of 1,000.

Ca2+, Sc3+, and Ti4+ are isoelectronic, and as you say have a noble gas configuration. They differ only in nuclear charge; in an isoelectronic series, higher charge, stronger pull on electrons - smaller size.

Is Ca a typo for Ca2+? If not, Ca is bigger than Ca2+ so that should give you your answer.

Answer 3

Do you have a textbook? there'll be slightly discussing the courting between frequency and wavelength. For any wave, the made of the wavelength and the frequency equals the fee of the wave. So, for gentle Frequency X wavelength = c (the fee of sunshine). that could desire to aid you artwork out the respond to the question.