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In a certain reaction, 10% of the reactant decomposes in one hour, 20 % in two hours, 30% in three hours and so on. The dimensions of the rate constant is :
  • a)
    hour–1
  • b)
    mole litre–1 sec–1
  • c)
    litre mole–1 sec–1 
  • d)
    mole sec–1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a certain reaction, 10% of the reactant decomposes in one hour, 20 ...
Rate is not dependent on concentration.it is a zero order reaction.so the rate=K[A] *
*=0
so the dimension is (B)
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Community Answer
In a certain reaction, 10% of the reactant decomposes in one hour, 20 ...
The dimensions of the rate constant can be determined by considering the rate equation for the reaction.

Let's assume the reactant concentration at time t is [A].

According to the given information, the reactant decomposes by a certain percentage at each hour. This can be represented as:

[A] at t = 0 = 100%
[A] at t = 1 hour = 100% - 10% = 90%
[A] at t = 2 hours = 90% - 20% = 70%
[A] at t = 3 hours = 70% - 30% = 40%

From the above information, we can see that the concentration of the reactant decreases with time. This can be expressed as:

[A] = [A]0 * (1 - kt)

where [A]0 is the initial concentration of the reactant, k is the rate constant, and t is the time.

Now, let's substitute the values at t = 1 hour:

90% = 100% * (1 - k*1)

Simplifying this equation, we get:

0.9 = 1 - k

k = 0.1

Similarly, substituting the values at t = 2 hours:

70% = 100% * (1 - k*2)

Simplifying this equation, we get:

0.7 = 1 - 2k

2k = 0.3

k = 0.15

Similarly, substituting the values at t = 3 hours:

40% = 100% * (1 - k*3)

Simplifying this equation, we get:

0.4 = 1 - 3k

3k = 0.6

k = 0.2

From the above calculations, we can see that the value of k is changing with time. This means that the rate constant is not a constant value for this reaction.

Therefore, we cannot determine the dimensions of the rate constant based on the given information.
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In a certain reaction, 10% of the reactant decomposes in one hour, 20 % in two hours, 30% in three hours and so on. The dimensions of the rate constant is :a)hour–1b)mole litre–1 sec–1c)litre mole–1 sec–1d)mole sec–1Correct answer is option 'B'. Can you explain this answer?
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