Question

The table shows a chemical equation and the dimensional analysis used by a student to calculate the number of moles of Ba3N2 required to produce 9.2 moles of Ba(OH)2. Student's Dimensional Analysis Chemical Equation Dimensional Analysis Ba3N2 + 6H2O → 3Ba(OH)2 + 2NH3 9.2 mol of Ba(OH)2 x 3 mol of Ba(OH)2 / 1 mol of Ba3N2 What is the error in the dimensional analysis? (1 point) a 1 mol of Ba3N2 should be replaced with 3 mol of Ba3N2 b 3 mol of Ba(OH)2 should be replaced with 1 mol of Ba(OH)2 c 3 mol of Ba(OH)2 and 1 mol of Ba3N2 should be interchanged d 9.2 mol of Ba(OH)2 and 1 mol of Ba3N2 should be interchanged

Answer 1

Answer:

c 3 mol of Ba(OH)₂ and 1 mol of Ba₃N₂ should be interchanged  

Explanation:

              Ba₃N₂ + 6H₂O → 3Ba(OH)₂ + 2NH₃

n/mol:                                      9.2

$\text{Moles of Ba _{3} N}_{2} = \text{9.2 mol Ba(OH)}_{2} \times \dfrac{\text{1 mol Ba _{3} N}_{2}} {\text{3 mol Ba(OH)}_{2}}= \text{x mol Ba _{3} N}_{2}$

They want to find moles of Ba₃N₂, so that should be in the numerator of the conversion factor,

Moles of Ba(OH)₂ should be in the denominator to cancel the units in 9.2 mol Ba(OH)₂,