Column-I Column-II
(i) Boyle's Law (a) `V alpha n` at constnt T & P
(ii) Charle's Law (b) `P_(" total ")=p_1+p_2+p_3+"………."` at constant T & V
(iii) Dalton's Law (c ) `V alpha T` at constant n & p
(iv) Avogadro Law (d) `p alpha 1"/"V` at constant n & P

Answer

To solve the problem of matching the laws of gases in Column-I with their corresponding descriptions in Column-II, we will analyze each law step by step.

### Step 1: Identify Boyle's Law
- **Boyle's Law** states that at constant temperature, the pressure of a gas is inversely proportional to its volume. This can be mathematically expressed as:
\[ P \alpha \frac{1}{V} \quad \text{(at constant T)} \]
- **Match**: This corresponds to option (d) in Column-II.

### Step 2: Identify Charles's Law
- **Charles's Law** states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature. This can be expressed as:
\[ V \alpha T \quad \text{(at constant P)} \]
- **Match**: This corresponds to option (c) in Column-II.

### Step 3: Identify Dalton's Law
- **Dalton's Law** states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of each individual gas. This can be expressed as:
\[ P_{\text{total}} = P_1 + P_2 + P_3 + \ldots \quad \text{(at constant T and V)} \]
- **Match**: This corresponds to option (b) in Column-II.

### Step 4: Identify Avogadro's Law
- **Avogadro's Law** states that at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of the gas. This can be expressed as:
\[ V \alpha n \quad \text{(at constant T and P)} \]
- **Match**: This corresponds to option (a) in Column-II.

### Final Matches
Now that we have identified and matched each law, we can summarize the matches as follows:
- (i) Boyle's Law → (d) \( P \alpha \frac{1}{V} \) at constant T
- (ii) Charles's Law → (c) \( V \alpha T \) at constant P
- (iii) Dalton's Law → (b) \( P_{\text{total}} = P_1 + P_2 + P_3 + \ldots \) at constant T and V
- (iv) Avogadro's Law → (a) \( V \alpha n \) at constant T and P