QuestionMay 2, 2025

Choose the proper coefficients for each substance to balance this equation. underline ( )X_(3)Y_(8)+underline ( )Z_(2)arrow underline ( )XZ_(2)+underline ( )Y_(2)Z 1,3,2,2 1,5,3,4 1,3,4,2 1,2,4,2

Choose the proper coefficients for each substance to balance this equation. underline ( )X_(3)Y_(8)+underline ( )Z_(2)arrow underline ( )XZ_(2)+underline ( )Y_(2)Z 1,3,2,2 1,5,3,4 1,3,4,2 1,2,4,2
Choose the proper coefficients for each substance to balance this equation. underline ( )X_(3)Y_(8)+underline ( )Z_(2)arrow underline ( )XZ_(2)+underline ( )Y_(2)Z 1,3,2,2 1,5,3,4 1,3,4,2 1,2,4,2

Solution
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Answer

1, 5, 4, 2 Explanation 1. Count Atoms on Each Side Left side: X_{3}Y_{8} has 3 X and 8 Y; Z_{2} has 2 Z. Right side: XZ_{2} has 1 X and 2 Z; Y_{2}Z has 2 Y and 1 Z. 2. Balance X Atoms Use coefficient 1 for X_{3}Y_{8} and 4 for XZ_{2} to balance X: 3 \times 1 = 3 \times 1. 3. Balance Y Atoms Use coefficient 2 for Y_{2}Z: 8 \times 1 = 2 \times 4. 4. Balance Z Atoms Use coefficient 5 for Z_{2}: 5 \times 2 = 4 \times 2 + 2 \times 1.

Explanation

1. Count Atoms on Each Side<br /> Left side: $X_{3}Y_{8}$ has 3 X and 8 Y; $Z_{2}$ has 2 Z. Right side: $XZ_{2}$ has 1 X and 2 Z; $Y_{2}Z$ has 2 Y and 1 Z.<br />2. Balance X Atoms<br /> Use coefficient 1 for $X_{3}Y_{8}$ and 4 for $XZ_{2}$ to balance X: $3 \times 1 = 3 \times 1$.<br />3. Balance Y Atoms<br /> Use coefficient 2 for $Y_{2}Z$: $8 \times 1 = 2 \times 4$.<br />4. Balance Z Atoms<br /> Use coefficient 5 for $Z_{2}$: $5 \times 2 = 4 \times 2 + 2 \times 1$.
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