Neco 2017 Mathematics Question 10

Practice essay / theory question 10 from the 2017 Neco Mathematics examination. This question covers Variation .

Neco 2017 Mathematics Essay / Theory

Topic: Variation

Question 10 NECO • 2017 • MATHEMATICS • essay

In a certain chemical process the time \(t\) (in seconds) required for the reaction to complete varies jointly as the square of the concentration \(c\) of a reactant, inversely as the absolute temperature \(T\) (in kelvin) and inversely as the pressure \(P\) (in atmospheres). That is, \(t = k\dfrac{c^{2}}{TP}\), where \(k\) is a constant of variation.

Question Parts

( a )

When \(c = 0.40\) mol·L⁻¹, \(T = 300\) K and \(P = 1.00\) atm, the reaction takes \(t = 45\) s. Determine the constant \(k\).

( b )

If the concentration is increased by 50 % and the temperature is increased by 20 % while the pressure remains unchanged, find the new reaction time (in seconds).

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About This Question

This is Neco 2017 Mathematics Question 10. It is one of the essay questions from the 2017 Neco Mathematics examination.

The question covers Variation .

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