Academics – Mathematics : 2022/MAR/05
Question
Q5. (a) A fixed mass of steam was expanded in a turbine.
Values of the pressure P (kPa) and volume V (m3) of the steam were recorded as shown in Table Q5.
| P | 10 | 8 | 6 | 4 | 2 |
| V | 0.618 | 0.744 | 0.946 | 1.326 | 2.363 |
Table Q5
Draw a straight line graph to verify that the relationship between P and V is the gas law
PVn = C, where the expansion index n and C are constants. (10)
Suggested scales: horizontal axis 2 cm = 0.1
Vertical axis 2 cm = 0.1
(b) Use the graph drawn in Q5(a) to estimate the values of n and C: (6)
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