The relationship between `K_p and K_c` is `K_p=K_c(RT)^(Deltan)` . What would be the value of `Deltan` for the reaction :
`NH_4Cl(s) hArr NH_3(g) +HCl(g)` ?

Options

A. 1
B. 0.5
C. 1.5
D. 2

Answer

To determine the value of Δn for the reaction:

\[ NH_4Cl(s) \rightleftharpoons NH_3(g) + HCl(g) \]

we need to follow these steps:

### Step 1: Identify the reactants and products
In the given reaction, we have:
- Reactant: \( NH_4Cl(s) \) (solid)
- Products: \( NH_3(g) \) (gas) and \( HCl(g) \) (gas)

### Step 2: Count the moles of gaseous products
Next, we count the total number of moles of gaseous products:
- From the products, we have:
- 1 mole of \( NH_3(g) \)
- 1 mole of \( HCl(g) \)

Thus, the total moles of gaseous products = 1 + 1 = 2 moles.

### Step 3: Count the moles of gaseous reactants
Now, we check the moles of gaseous reactants:
- The reactant \( NH_4Cl(s) \) is a solid and does not contribute to the gaseous moles.

Thus, the total moles of gaseous reactants = 0 moles.

### Step 4: Calculate Δn
Now, we can calculate Δn using the formula:

\[ \Delta n = \text{(moles of gaseous products)} - \text{(moles of gaseous reactants)} \]

Substituting the values we found:

\[ \Delta n = 2 - 0 = 2 \]

### Final Answer
The value of Δn for the reaction is:

\[ \Delta n = 2 \]

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