Question

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

Pressure in atmosphere	Volume in liters
0.20	112
0.25	89.2
0.40	56.25
0.60	37.40
0.80	28.10
1.00	22.4

(a) Plot the following graphs

1. P vs V
2. P vs 1/V
3. PV vs P

Interpret each graph in terms of the law.

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

Answer 1

P/atm	V/dm3	1/V	PV
0.2	112	0.009	22.4
0.25	89.2	0.011	22.4
0.4	56.25	0.018	22.4
0.6	37.4	0.027	22.4
0.8	28.1	0.036	22.4
1	22.4	0.045	22.4

(a) Plot the following graphs:

1. P vs. V:

At constant temperature, P is inversely proportional to V. Thus, the plot of V versus P will be a rectangular hyperbola.

2. P vs. 1/V:

According to Boyle's law, at a constant temperature, the pressure of a fixed amount of gas varies inversely to its volume. The graph of pressure versus 1/V shows a positive slope.

3. PV vs. P:

According to Boyle's law, the product of pressure and volume is constant at a constant temperature. The graph of PV versus P is constant which indicates that the given gas obeys Boyle's law.

(b) The correct measurements of the volume are given below:

P/atm	V/dm3
0.2	112
0.25	89.6
0.4	56
0.6	37.33
0.8	28
1	22.4