`(X) overset(KOH)to` (gas turns red litmus blue)+(Z)`overset(Zn+KOH)to(Y)(gas)`.
`(X)overset(Delta)to`gas (does not support combustion)
Identify (X) to (Z):

Options

A. `X=NH_(4)NO_(2)" "Y=NH_(3)" "Z=KNO_(2)`
B. `X=(NH_(4))_(2)Cr_(2)O_(7)" "Y=NH_(3)" "Z=Cr_(2)O_(3)`
C. `X=(NH_(4))_(2)SO_(4)" "Y=NH_(3)" "Z=K_(2)SO_(4)`
D. `X=NH_(4)NO_(3)" "Y=NH_(3)" "Z=KNO_(3)`

Answer

To solve the problem, we need to identify the substances (X, Y, and Z) based on the given reactions and their properties. Let's break down the information step by step.

### Step-by-Step Solution:

1. **Identify the Gas from Reaction with KOH:**
- The problem states that when (X) reacts with KOH, it produces a gas that turns red litmus blue. This indicates that the gas is basic.
- The only common gas that fits this description is **Ammonia (NH3)**, which is known to turn red litmus paper blue.

**Hint:** Think about gases that are basic and can change the color of litmus paper.

2. **Determine the Identity of (Y):**
- The next part of the question mentions that (Z) reacts with Zn and KOH to produce (Y), which is also a gas.
- Since we have already established that (Y) is likely to be **NH3**, we can conclude that (Z) must be a compound that can produce NH3 when reacted with Zn and KOH.

**Hint:** Consider compounds that can release ammonia upon reaction with zinc and a base.

3. **Identify (X):**
- We know that (X) must be a compound that, when reacted with KOH, produces NH3 and another product.
- The compound that fits this description is **Ammonium Nitrite (NH4NO2)**. The reaction can be represented as:
\[ NH4NO2 + KOH \rightarrow NH3 + KNO2 \]
- Here, (X) is NH4NO2 and (Z) is KNO2.

**Hint:** Look for ammonium compounds that can decompose or react to produce ammonia.

4. **Confirm the Reaction of (Z):**
- Now we check the reaction of (Z), which is KNO2, with Zn and KOH. This reaction also produces NH3:
\[ KNO2 + Zn + KOH \rightarrow NH3 + other products \]
- This confirms that (Y) is indeed NH3.

**Hint:** Verify the reactions to ensure that the products align with the expected outcomes.

5. **Final Confirmation of (X) and (Z):**
- We have established that:
- (X) = Ammonium Nitrite (NH4NO2)
- (Z) = Potassium Nitrite (KNO2)
- The question also states that when (X) is heated, it produces a gas that does not support combustion, which is **Nitrogen (N2)**. This aligns with the properties of NH4NO2 when heated.

**Hint:** Consider the thermal decomposition of ammonium compounds to identify inert gases.

### Conclusion:
- **(X)** is **Ammonium Nitrite (NH4NO2)**
- **(Y)** is **Ammonia (NH3)**
- **(Z)** is **Potassium Nitrite (KNO2)**