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7) balance the equation by typing the numbers into each blank. type in …

Question

  1. balance the equation by typing the numbers into each blank. type in 1 if the coefficient is 1.

_ kclo₃ → _ kclo₄ + ___ kcl

Explanation:

Step1: Assign variables to coefficients

Let the coefficients be $a$ (for $\text{KClO}_3$), $b$ (for $\text{KClO}_4$), and $c$ (for $\text{KCl}$). The equation becomes:

$$a\text{KClO}_3 ightarrow b\text{KClO}_4 + c\text{KCl}$$

Step2: Balance K atoms

Set up equation for K: $a = b + c$

Step3: Balance Cl atoms

Cl atoms are equal on both sides: $a = b + c$ (same as K)

Step4: Balance O atoms

O atoms: $3a = 4b$
Solve for $a$: $a = \frac{4b}{3}$. To use integers, set $b=3$, so $a=4$.

Step5: Solve for c

Substitute $a=4, b=3$ into $a = b + c$:
$4 = 3 + c \implies c=1$

Step6: Verify all atoms

K: $4 = 3+1$, Cl: $4=3+1$, O: $3\times4=4\times3$ (12=12)

Answer:

4 $\text{KClO}_3
ightarrow$ 3 $\text{KClO}_4 +$ 1 $\text{KCl}$