The equation PV=NkBT describes the behaviour of an ideal gas.
A student tests a fixed mass of gas to confirm that, for a constant temperature,
PV=K
where K is a constant.
The student does this by making measurements of P and V.
Five sets of data for this experiment are shown in the table. Four processed values of V1 are also shown.
P/kPa
V/10−5m3
V1/104m−3
117
1.37
7.30
110
1.42
7.04
103
1.54
94
1.70
5.88
90
1.77
5.65
The variation of P with V1 is shown for four data points.
<br> a. (a.i) Plot the missing data point on the graph.<br> b. (a.ii) Draw the best-fit line on the graph.<br> c. (a.iii) Explain how the student can use the graph to decide whether the data support the relationship PV=K.<br> d. (b.i) Determine K.<br> e. (b.ii) State an appropriate SI unit for K.<br> f. (c) The laboratory is at a constant temperature of 291 K. Determine the number of molecules in the fixed mass of gas.