1.6.8 Reduction to linear form

Easy Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

Question 30

The concentration $C$ (in mg/L) of a bioactive compound in a chemical reactor is modelled by the equation

C = pq^t

where $p$ and $q$ are constants and $t$ is the time in hours since the reaction began.

The relationship between $t$ and $log_{10} C$ is linear. The graph of this relationship passes through the vertical intercept $(0, 1.48)$ and the point $(25, 0.73)$ .

Find an equation for this line in the form $log_{10} C = mt + c$ .

[2]

Find the value of $p$ and the value of $q$ , giving your answers to 3 significant figures.

[2]

According to the model, find the value of $t$ when the concentration reaches 10 mg/L.

[2]

1.6.8 Reduction to linear form Questions

A Level
Maths
1.6.8 Reduction to linear form

A Level
Maths OCR
Question bank