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The radioactive decay of a substance is given by

R=1000e−ct,t≥0. R = 1000e^{-ct}, \quad t \geq 0. R=1000e−ct,t≥0.

where R R\,R is the number of atoms at time t t\,t years and c c\,c is a positive constant.

a.

Find the number of atoms when the substance started to decay.

[1]
b.

It takes 5730 years for half of the substance to decay. Find the value of c c\,c to 3 significant figures.

[4]
c.

Calculate the number of atoms that will be left when t=22,920t = 22,920t=22,920.

[2]
d.

Sketch the graph of R R\,R against ttt.

[2]

Logs Questions

Practise Edexcel A Level Old Maths Logs with exam-style questions for A Level Old Maths. 16 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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Logs Questions

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