Waec Model Questions Vol1 2019 Mathematics Question 10

Practice essay / theory question 10 from the 2019 Waec Model Questions Vol1 Mathematics examination. This question covers Variation .

Waec Model Questions Vol1 2019 Mathematics Essay / Theory

Topic: Variation

Question 10 WAEC_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • essay

The time \(T\) (in seconds) taken by a certain chemical reaction to reach completion varies directly as the square of the concentration \(C\) (in mol·L⁻¹) of reactant A and inversely as the absolute temperature \(\theta\) (in K). When \(C = 0.2\) mol·L⁻¹ and \(\theta = 300\) K, the reaction takes 45 seconds.

Question Parts

( a )

Find the constant of variation \(k\).

( b )

If the concentration is increased to \(0.5\) mol·L⁻¹ while the temperature is lowered to \(280\) K, calculate the new reaction time.

( c )

For a fixed temperature of \(310\) K, determine the concentration required for the reaction to complete in exactly \(30\) seconds.

( d )

Explain qualitatively how the reaction time would change if both the concentration and the temperature were doubled, using the variation law.

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About This Question

This is Waec Model Questions Vol1 2019 Mathematics Question 10. It is one of the essay questions from the 2019 Waec Model Questions Vol1 Mathematics examination.

The question covers Variation .

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