How many atoms of nitrogen are there in 0.50 mol of (NH4)2CO3?A. 1B. 2C. 3.01 × 1023D. 6.02 × 1023
Question
How many atoms of nitrogen are there in 0.50 mol of (NH₄)₂CO₃?
A. 1
B. 2
C. 3.01 × 10²³
D. 6.02 × 10²³
Solution
The formula (NH4)2CO3 shows that there are 2 nitrogen atoms in one formula unit of ammonium carbonate.
Step 1: Determine the number of formula units in 0.50 mol of (NH4)2CO3.
We know that 1 mol of any substance contains Avogadro's number (6.02 x 10^23) of formula units. Therefore, 0.50 mol of (NH4)2CO3 contains (0.50 mol) x (6.02 x 10^23 formula units/mol) = 3.01 x 10^23 formula units of (NH4)2CO3.
Step 2: Determine the number of nitrogen atoms in 3.01 x 10^23 formula units of (NH4)2CO3.
Since there are 2 nitrogen atoms in one formula unit of (NH4)2CO3, there are (2 atoms) x (3.01 x 10^23 formula units) = 6.02 x 10^23 nitrogen atoms in 0.50 mol of (NH4)2CO3.
So, the answer is D. 6.02 × 10^23.
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