Balance each of the following chemical equations. a. \(\mathrm{KO}_{2}(s)+\mathrm{H}_{2} \mathrm{O}(t) \rightarrow \mathrm{KOH}(a q)+\mathrm{O}_{2}(g)+\mathrm{H}_{2} \mathrm{O}_{2}(a q)\) b. \(\mathrm{Fe}_{2} \mathrm{O}_{3}(s)+\mathrm{HNO}_{3}(a q) \rightarrow \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}(a q)+\mathrm{H}_{2} \mathrm{O}(t)\) c. \(\mathrm{NH}_{3}(g)+\mathrm{O}_{2}(g) \rightarrow \mathrm{NO}(g)+\mathrm{H}_{2} \mathrm{O}(g)\) d. \(\mathrm{PCl}_{5}(l)+\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{H}_{3} \mathrm{PO}_{4}(a q)+\mathrm{HCl}(g)\) e. \(\mathrm{CaO}(s)+\mathrm{C}(s) \rightarrow \mathrm{CaC}_{2}(s)+\mathrm{CO}_{2}(g)\) f. \(\operatorname{MoS}_{2}(s)+\mathrm{O}_{2}(g) \rightarrow \mathrm{MoO}_{3}(s)+\mathrm{SO}_{2}(g)\) g. \(\mathrm{FeCO}_{3}(s)+\mathrm{H}_{2} \mathrm{CO}_{3}(a q) \rightarrow \mathrm{Fe}\left(\mathrm{HCO}_{3}\right)_{2}(a q)\)

Step by step solution

01

Write the unbalanced equation

The unbalanced equation is: \(\mathrm{KO}_{2}(s)+\mathrm{H}_{2} \mathrm{O}(t) \rightarrow \mathrm{KOH}(a q)+\mathrm{O}_{2}(g)+\mathrm{H}_{2} \mathrm{O}_{2}(a q)\)

02

Identify the elements that need to be balanced

These are K, O, and H elements in the compounds.

03

Balance the elements

To balance the equation, we must adjust the coefficients of each compound: \[\boxed{2 \mathrm{KO}_{2}(s)+\mathrm{H}_{2} \mathrm{O}(t) \rightarrow 2 \mathrm{KOH}(a q)+\mathrm{O}_{2}(g)+\mathrm{H}_{2} \mathrm{O}_{2}(a q)}\] #b. Balancing the second equation#

04

Write the unbalanced equation

The unbalanced equation is: \(\mathrm{Fe}_{2} \mathrm{O}_{3}(s)+\mathrm{HNO}_{3}(a q) \rightarrow \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}(a q)+\mathrm{H}_{2} \mathrm{O}(t)\)

05

Identify the elements that need to be balanced

These are Fe, O, N, and H elements.

06

Balance the elements

To balance the equation, we must adjust the coefficients of each compound: \[\boxed{\mathrm{Fe}_{2} \mathrm{O}_{3}(s)+6\mathrm{HNO}_{3}(a q) \rightarrow 2\mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}(a q)+3\mathrm{H}_{2} \mathrm{O}(t)}\] #c. Balancing the third equation#

07

Write the unbalanced equation

The unbalanced equation is: \(\mathrm{NH}_{3}(g)+\mathrm{O}_{2}(g) \rightarrow \mathrm{NO}(g)+\mathrm{H}_{2} \mathrm{O}(g)\)

08

Identify the elements that need to be balanced

These are N, O, and H elements.

09

Balance the elements

To balance the equation, we must adjust the coefficients of each compound: \[\boxed{4\mathrm{NH}_{3}(g)+5\mathrm{O}_{2}(g) \rightarrow 4\mathrm{NO}(g)+6\mathrm{H}_{2} \mathrm{O}(g)}\] #d. Balancing the fourth equation#

10

Write the unbalanced equation

The unbalanced equation is: \(\mathrm{PCl}_{5}(l)+\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{H}_{3} \mathrm{PO}_{4}(a q)+\mathrm{HCl}(g)\)

11

Identify the elements that need to be balanced

These are P, Cl, H, and O elements.

12

Balance the elements

To balance the equation, we must adjust the coefficients of each compound: \[\boxed{\mathrm{PCl}_{5}(l)+4\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{H}_{3} \mathrm{PO}_{4}(a q)+5\mathrm{HCl}(g)}\] #e. Balancing the fifth equation#

13

Write the unbalanced equation

The unbalanced equation is: \(\mathrm{CaO}(s)+\mathrm{C}(s) \rightarrow \mathrm{CaC}_{2}(s)+\mathrm{CO}_{2}(g)\)

14

Identify the elements that need to be balanced

These are Ca, O, and C elements.

15

Balance the elements

To balance the equation, we must adjust the coefficients of each compound: \[\boxed{\mathrm{CaO}(s)+2\mathrm{C}(s) \rightarrow \mathrm{CaC}_{2}(s)+\mathrm{CO}_{2}(g)}\] #f. Balancing the sixth equation#

16

Write the unbalanced equation

The unbalanced equation is: \(\operatorname{MoS}_{2}(s)+\mathrm{O}_{2}(g) \rightarrow \mathrm{MoO}_{3}(s)+\mathrm{SO}_{2}(g)\)

17

Identify the elements that need to be balanced

These are Mo, S and O elements.

18

Balance the elements

To balance the equation, we must adjust the coefficients of each compound: \[\boxed{2\operatorname{MoS}_{2}(s)+7\mathrm{O}_{2}(g) \rightarrow 2\mathrm{MoO}_{3}(s)+4\mathrm{SO}_{2}(g)}\] #g. Balancing the seventh equation#

19

Write the unbalanced equation

The unbalanced equation is: \(\mathrm{FeCO}_{3}(s)+\mathrm{H}_{2} \mathrm{CO}_{3}(a q) \rightarrow \mathrm{Fe}\left(\mathrm{HCO}_{3}\right)_{2}(a q)\)

20

Identify the elements that need to be balanced

These are Fe, C, H, and O elements.

21

Balance the elements

To balance the equation, we must adjust the coefficients of each compound: \[\boxed{\mathrm{FeCO}_{3}(s)+2\mathrm{H}_{2} \mathrm{CO}_{3}(a q) \rightarrow \mathrm{Fe}\left(\mathrm{HCO}_{3}\right)_{2}(a q)+\mathrm{H}_{2}\mathrm{O}(t)}\]

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