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4.6.1 Integration (A-level only)

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Question 24

The rate of change of the concentration $C\,$ of a chemical reagent in a reaction is modeled by the differential equation

\frac{\text{d}C}{\text{d}t} = \frac{8t \ln t}{C}, \quad t > 0

where $t\,$ is the time in seconds. Given that the concentration is 6 units when $t = 1$ , solve the differential equation to find an expression for the concentration at any time $t$ , giving your answer in the form $C^2 = f(t)$ .

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Markscheme

4.6.1 Integration (A-level only) Questions

A Level
Maths
4.6.1 Integration (A-level only)

83 exam-style questions on WJEC A Level Maths 4.6.1 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

4.6.1 Integration (A-level only)

Question bank

4.6.1 Integration (A-level only)

Medium Hard

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Question 24

The rate of change of the concentration $C\,$ of a chemical reagent in a reaction is modeled by the differential equation

\frac{\text{d}C}{\text{d}t} = \frac{8t \ln t}{C}, \quad t > 0

[6]

Markscheme

4.6.1 Integration (A-level only) Questions

A Level
Maths
4.6.1 Integration (A-level only)

83 exam-style questions on WJEC A Level Maths 4.6.1 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.