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Q5. Table Q5 indicates the various temperatures T°C, of a cooling liquid after t minutes as recorded in an experiment.

The relationship between T and t is given by the formula:

T = T₀ eat where a and T₀ are constants.

(a) Draw a graph to verify this relationship. (8)

(b) Use the graph drawn in Q5(a) to determine EACH of the following:

(i) approximate values of a and T₀; (4)

(ii) the temperature after 23 minutes; (2)

(iii) the time it takes for the temperature to fall to 25°C. (2)

Suggested scale:   horizontal axis 2 cm = 5

vertical axis 2 cm = 0.2