If `P,V, and T` represent pressure, volume and temperature of the gas, the correct representation of Boyle's law is

Options

A. `V prop (1)/(T)` (P constant)
B. ` V prop (1)/(P)` (T constant)
C. PV = RT
D. PV = nRT

Explanation

To solve the question regarding the correct representation of Boyle's Law, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Boyle's Law**: Boyle's Law states that for a given mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. This can be mathematically expressed as:
\[ PV = k \]
where \( k \) is a constant.

2. **Identify Constants**: In the context of the gas laws, when we refer to Boyle's Law, we consider temperature (T) to be constant. This means that any changes in pressure (P) will result in corresponding changes in volume (V).

3. **Rearranging the Equation**: From the equation \( PV = k \), we can express volume in terms of pressure:
\[ V = \frac{k}{P} \]
This shows that volume (V) is inversely proportional to pressure (P).

4. **Expressing Inverse Proportionality**: The relationship can also be written as:
\[ V \propto \frac{1}{P} \]
This indicates that as pressure increases, volume decreases, and vice versa, which is the essence of Boyle's Law.

5. **Conclusion**: Therefore, the correct representation of Boyle's Law in terms of pressure and volume is that volume is inversely proportional to pressure.

### Final Answer:
The correct representation of Boyle's Law is \( V \propto \frac{1}{P} \).

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