`n g` of substance `X` reacts with `m g` of substance `Y` to from `p g` of substance `R` and q g of substance S. This reaction can be represented as, `X+Y=R+S`. The relation which can be established in the amounts of the reactants and the products will be

Options

A. (a)`n-m=p-q`
B. (b)`n+m=p+q`
C. (c )`n=m`
D. (d)`p=q`

Explanation

To solve the problem, we need to establish the relationship between the amounts of reactants and products in the given chemical reaction. The reaction is represented as:

\[ X + Y \rightarrow R + S \]

Where:
- \( n \) g of substance \( X \) reacts with \( m \) g of substance \( Y \) to produce \( p \) g of substance \( R \) and \( q \) g of substance \( S \).

### Step-by-Step Solution:

1. **Identify the Reactants and Products**:
- Reactants: \( X \) and \( Y \)
- Products: \( R \) and \( S \)

2. **Apply the Law of Conservation of Mass**:
- According to the law of conservation of mass, the total mass of the reactants must equal the total mass of the products in a chemical reaction.
- This means that the sum of the masses of the reactants (substances that are consumed) must equal the sum of the masses of the products (substances that are formed).

3. **Set Up the Equation**:
- The total mass of the reactants is:
\[ n + m \]
- The total mass of the products is:
\[ p + q \]
- According to the law of conservation of mass:
\[ n + m = p + q \]

4. **Conclusion**:
- Therefore, the relationship that can be established between the amounts of the reactants and products is:
\[ n + m = p + q \]

### Final Answer:
The relation which can be established in the amounts of the reactants and the products will be:
\[ n + m = p + q \]