A substance, A, undergoes a reaction such that its concentration at any time, t (in seconds), can be represented by the equation: [A]^4 = 1 / (t+1). The rate of disappearance of 'A' (in M s^-1) at the

Question

A substance, A, undergoes a reaction such that its concentration at any time, t (in seconds), can be represented by the equation: [A]^4 = 1 / (t+1). The rate of disappearance of 'A' (in M s^-1) at the concentration, [A] = 2.0 M, is

Prashant Kotian · Accepted Answer

Correct answer: 8. Taking the derivative of t = [A]^-4 - 1 with respect to [A] gives dt/d[A] = -4[A]^-5. The rate of disappearance is -d[A]/dt = 1 / (4[A]^-5) = 0.25[A]^5. At [A] = 2.0 M, the rate is 0.25 × (2.0)^5 = 0.25 × 32 = 8 M/s. Therefore, correct answer is 8.

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