Question

Match the name of the law given in List-1 with the relation/formula given in List-2: \[\begin{array}{|c|c|} \hline \textbf{List-I (Law Name)} & \textbf{List-II (Relation/Formula)} \\ \hline \text{(A) Boyle's Law} & \text{(III) \(PV = \text{Constant}\)} \\ \hline \text{(B) Charles' Law} & \text{(I) \(\tfrac{V}{T} = \text{Constant}\)} \\ \hline \text{(C) Avogadro's Law} & \text{(IV) \(V \propto n\)} \\ \hline \text{(D) Graham's Law of Diffusion} & \text{(II) \(\tfrac{T_1}{T_2} = \tfrac{M_2}{M_1}\)} \\ \hline \end{array}\] Choose the correct answer from the options given below:

• (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
• (A) - (I), (B) - (III), (C) - (IV), (D) - (II)
• (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
• (A) - (III), (B) - (I), (C) - (II), (D) - (IV)

Hint:

Boyle's Law relates pressure and volume, Charles' Law relates volume and temperature, and Graham's Law deals with diffusion rates.

Answer 1

The Correct Option is C

Step 1: Boyle's Law.
Boyle's Law relates pressure and volume, stating that at constant temperature, the volume of a gas is inversely proportional to the pressure. The formula for Boyle's Law is \( PV = \text{Constant} \), so it matches with option (III).

Step 2: Charles' Law.
Charles' Law states that the volume of a gas is directly proportional to its temperature, at constant pressure. The relation \( \frac{V}{T} = \text{Constant} \) corresponds to this, matching with option (I).

Step 3: Avogadro's Law.
Avogadro's Law states that the volume of a gas is directly proportional to the number of moles, which gives the relation \( V \propto n \), matching with option (IV).

Step 4: Graham's Law of Diffusion.
Graham's Law describes the relationship between the rates of diffusion of gases and their molar masses. The relation \( \frac{T_1}{T_2} = \frac{M_2}{M_1} \) corresponds to this, matching with option (II).

Step 5: Conclusion.
Thus, the correct matching is (A) - (I), (B) - (II), (C) - (III), and (D) - (IV), which corresponds to option (3).

Final Answer: \[ \boxed{\text{(3) (A) - (I), (B) - (II), (C) - (III), (D) - (IV)}} \]