Complete the given equations
(i) `Mg +2NHO_3(dil)rarrMg(NO_3)_2+P`
(ii) `Cu + 8 HNO_3(dil) rarr3Cu(NO_3)_2+Q+4H_2O`
(iii) `l_2+10HNO_3 (dil) rarrR +10NO_2+4H_2O`

Options

A. `NO(P),2NO_2(Q),5HIO_3(R)`
B. `H_2(P),2NO(Q),2HIO_3(R)`
C. `N_2(P)N_2(Q)HI(R)`
D. `NO_2(P)N_2O(Q)3HI(R)`

Answer

To complete the given equations, we will analyze each reaction step by step.

### Step-by-Step Solution:

#### (i) \( \text{Mg} + 2 \text{HNO}_3(dil) \rightarrow \text{Mg(NO}_3\text{)}_2 + P \)

1. **Identify Reactants and Products**:
- Reactants: Magnesium (Mg) and dilute Nitric Acid (HNO3).
- Products: Magnesium Nitrate (Mg(NO3)2) and an unknown product (P).

2. **Balancing the Reaction**:
- Magnesium reacts with dilute nitric acid to produce magnesium nitrate and hydrogen gas.
- The balanced equation is:
\[ \text{Mg} + 2 \text{HNO}_3 \rightarrow \text{Mg(NO}_3\text{)}_2 + \text{H}_2 \]
- Here, \( P = \text{H}_2 \).

#### (ii) \( \text{Cu} + 8 \text{HNO}_3(dil) \rightarrow 3 \text{Cu(NO}_3\text{)}_2 + Q + 4 \text{H}_2\text{O} \)

1. **Identify Reactants and Products**:
- Reactants: Copper (Cu) and dilute Nitric Acid (HNO3).
- Products: Copper Nitrate (Cu(NO3)2), water (H2O), and an unknown product (Q).

2. **Balancing the Reaction**:
- Copper reacts with dilute nitric acid to produce copper nitrate, nitrogen monoxide, and water.
- The balanced equation is:
\[ \text{Cu} + 8 \text{HNO}_3 \rightarrow 3 \text{Cu(NO}_3\text{)}_2 + 2 \text{NO} + 4 \text{H}_2\text{O} \]
- Here, \( Q = 2 \text{NO} \).

#### (iii) \( \text{I}_2 + 10 \text{HNO}_3(dil) \rightarrow R + 10 \text{NO}_2 + 4 \text{H}_2\text{O} \)

1. **Identify Reactants and Products**:
- Reactants: Iodine (I2) and dilute Nitric Acid (HNO3).
- Products: An unknown product (R), nitrogen dioxide (NO2), and water (H2O).

2. **Balancing the Reaction**:
- Iodine reacts with dilute nitric acid to produce iodic acid and nitrogen dioxide.
- The balanced equation is:
\[ \text{I}_2 + 10 \text{HNO}_3 \rightarrow 2 \text{HIO}_3 + 10 \text{NO}_2 + 4 \text{H}_2\text{O} \]
- Here, \( R = 2 \text{HIO}_3 \).

### Final Completed Equations:
1. \( \text{Mg} + 2 \text{HNO}_3 \rightarrow \text{Mg(NO}_3\text{)}_2 + \text{H}_2 \)
2. \( \text{Cu} + 8 \text{HNO}_3 \rightarrow 3 \text{Cu(NO}_3\text{)}_2 + 2 \text{NO} + 4 \text{H}_2\text{O} \)
3. \( \text{I}_2 + 10 \text{HNO}_3 \rightarrow 2 \text{HIO}_3 + 10 \text{NO}_2 + 4 \text{H}_2\text{O} \)