Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select the correct answer. if the atomic weight of nitrogen is 14.01, w…

Question

select the correct answer.
if the atomic weight of nitrogen is 14.01, what is the mass of the nitrogen atoms in one mole of cadmium nitrate, cd(no₃)₂?
a. 14.01 grams
b. 28.02 grams
c. 42.03 grams
d. 84.06 grams

Explanation:

Step1: Analyze the formula of cadmium nitrate

In \(Cd(NO_3)_2\), there are 2 \(NO_3\) groups. Each \(NO_3\) group has 1 nitrogen atom. So, in one mole of \(Cd(NO_3)_2\), the number of moles of nitrogen atoms is \(n = 2\times1= 2\) moles.

Step2: Calculate the mass of nitrogen atoms

The formula for mass \(m=n\times M\), where \(n\) is the number of moles and \(M\) is the molar mass. Given \(M = 14.01\space g/mol\) (atomic weight of nitrogen) and \(n = 2\space mol\). Then \(m=2\times14.01\space g/mol\times1\space mol=28.02\space g\).

Answer:

B. 28.02 grams