At constant temperature, the effect of change of pressure on volume of a gas was as given below :

Pressure in atmospheres	Volume in litres
1.0	12
1.5	8.0
2.0	6.0
2.5	4.8
3.0	4.0

(a) Plot the following graphs :

(i) P vs V

(ii) P vs 1/V

(iii) PV vs P

(b) Assuming that the pressure values given above are correct, find the correct measurement of the volume at 2.3 atmosphere pressure.

(a)

(i) Graph of P vs V :

(ii) Graph of P vs 1/V :

(iii) Graph of PV vs P :

(b) By Boyle's Law:

$\text{P}$1 \text{V}1 = \text{P}2 \text{V}2

P₁V₁ = 12 is a constant, hence, V₂ = ? at P₂ = 2.3 atm

Substituting the values :

$12 = 2.3 \times \text{V}$2 \\[1em] \text{V}2 = \dfrac{12}{2.3} \\[1em] \text{V}_2 = 5.217 \text{ lit}

Hence, volume = 5.217 lit