Question

For an ideal gas at room temperature, choose the CORRECT representation(s) of Boyle's Law. 
(P = Pressure, V = Volume, T = Temperature) 

• A. only (i)
• B. both (ii) and (iii)
• C. only (iii)
• D. both (iii) and (iv)

Hint:

Boyle's Law is represented by the inverse relationship between pressure and volume at constant temperature.

Answer 1

The Correct Option is C

Boyle's Law states that for a given mass of an ideal gas at constant temperature, the pressure of the gas is inversely proportional to its volume. Mathematically, this is expressed as:

\(P \propto \frac{1}{V}\) or \(PV = \text{constant}\).

Let's analyze the options:

1. (i) The graph shows P versus T. Boyle's Law does not relate pressure and temperature directly, hence this is not a correct representation.
2. (ii) The graph shows P versus V with a positive slope. This is not correct under Boyle's Law since pressure and volume are inversely related.
3. (iii) The graph shows P versus \(\frac{1}{V}\), which is correct. As volume decreases (i.e., \(\frac{1}{V}\) increases), pressure increases proportionally.
4. (iv) The graph shows PV versus T. Boyle's Law suggests PV is constant if temperature is unchanged, indicating a horizontal line, which is not related to changes in temperature.

Therefore, only option (iii) correctly represents Boyle's Law. Thus, the answer is:

only (iii)