Academics – Mathematics : 2024/DEC/05
Question
Q5. (a) During a gas engine test, of a given mass of gas contained in a cylinder, the values of pressure P (kPa) and the volume V (m3) were recorded as shown in Table Q5.
Plot a straight - line graph to verify that the relationship between P and V is the gas law PVn = C, where n and C are constants.
| P | 50 | 40 | 30 | 20 | 10 |
| V | 1.74 | 2.06 | 2.60 | 3.55 | 5.97 |
Table Q5
Suggested scales: horizontal axis 2 cm = 0.1
Vertical axis 2 cm = 0.1 (10)
(b) Use the graph plotted in Q5(a) to estimate the value of n and C. (6)
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