Read the given passage and answer the questions.
P, Q and R are three elements which undergo chemical reactions according to the following equations.
(i) `P_(2)O_(3) +2Q to Q_(2)O_(3) +2P`
(ii) `3RSO_(4) +2Q to Q_(2)(SO_(4))_(3) +3R`
(iii) `3RO +2P to P_(2) O_(3) +3R`
The most reactive and the least reactive elements are:

Options

A. Q and P
B. Q and R
C. R and Q
D. R and P

Explanation

To determine the most reactive and least reactive elements among P, Q, and R based on the given chemical reactions, we can analyze each reaction step-by-step.

### Step-by-Step Solution:

1. **Analyze the First Reaction:**
\[ P_2O_3 + 2Q \rightarrow Q_2O_3 + 2P \]
- In this reaction, Q displaces P from \( P_2O_3 \) to form \( Q_2O_3 \) and releases P.
- This indicates that Q is more reactive than P.

**Hint:** A more reactive element can displace a less reactive element from its compound.

2. **Analyze the Second Reaction:**
\[ 3RSO_4 + 2Q \rightarrow Q_2(SO_4)_3 + 3R \]
- Here, Q displaces R from \( RSO_4 \) to form \( Q_2(SO_4)_3 \) and releases R.
- This indicates that Q is more reactive than R.

**Hint:** Again, the displacement of R by Q shows that Q is more reactive.

3. **Analyze the Third Reaction:**
\[ 3RO + 2P \rightarrow P_2O_3 + 3R \]
- In this case, P displaces R from \( RO \) to form \( P_2O_3 \) and releases R.
- This indicates that P is more reactive than R.

**Hint:** The displacement of R by P suggests that P is more reactive than R.

4. **Summarize the Reactivity:**
- From the first reaction, we conclude: \( Q > P \)
- From the second reaction, we conclude: \( Q > R \)
- From the third reaction, we conclude: \( P > R \)

5. **Determine the Most and Least Reactive Elements:**
- From the relationships established:
- \( Q \) is the most reactive.
- \( R \) is the least reactive.

### Final Answer:
- The most reactive element is **Q**.
- The least reactive element is **R**.