Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

for the chemical equation below, list the stoichiometric coefficients i…

Question

for the chemical equation below, list the stoichiometric coefficients in the order they would appear in the equation (1s included)
__ca(oh)₂ + cu₃po₄ ==> ca₃(po₄)₂ + __cuoh

○ 6:2:1:6
○ 3:1:1:3
○ 3:2:1:3
○ 3:2:1:6

Explanation:

Step1: Balance Ca atoms

Left: 1 Ca (in \( \text{Ca(OH)}_2 \)), Right: 3 Ca (in \( \text{Ca}_3(\text{PO}_4)_2 \)). So coefficient of \( \text{Ca(OH)}_2 \) is 3 (to make 3 Ca on left). Now equation: \( 3\text{Ca(OH)}_2 + \text{Cu}_3\text{PO}_4
ightarrow \text{Ca}_3(\text{PO}_4)_2 + \text{CuOH} \)

Step2: Balance PO₄³⁻ ions

Left: 1 \( \text{PO}_4^{3-} \) (in \( \text{Cu}_3\text{PO}_4 \)), Right: 2 \( \text{PO}_4^{3-} \) (in \( \text{Ca}_3(\text{PO}_4)_2 \)). So coefficient of \( \text{Cu}_3\text{PO}_4 \) is 2 (to make 2 \( \text{PO}_4^{3-} \) on left). Now: \( 3\text{Ca(OH)}_2 + 2\text{Cu}_3\text{PO}_4
ightarrow \text{Ca}_3(\text{PO}_4)_2 + \text{CuOH} \)

Step3: Balance Cu atoms

Left: 6 Cu (2×3 in \( 2\text{Cu}_3\text{PO}_4 \)), Right: 1 Cu (in \( \text{CuOH} \)). So coefficient of \( \text{CuOH} \) is 6 (to make 6 Cu on right). Now: \( 3\text{Ca(OH)}_2 + 2\text{Cu}_3\text{PO}_4
ightarrow \text{Ca}_3(\text{PO}_4)_2 + 6\text{CuOH} \)

Step4: Check OH⁻ (or O, H)

Left: 3×2 = 6 OH⁻, Right: 6×1 = 6 OH⁻. Balanced. So coefficients: 3, 2, 1, 6.

Answer:

3:2:1:6 (corresponding to the option "3:2:1:6")