Gas Laws

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:

or .

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 , which is correct. As volume decreases (i.e., 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)

Using Boyle's law:

substitute atm, L, and atm: