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MaRussiya [10]
3 years ago
11

Liquid A decomposes with nth-order kinetics in a batch reactor A->B, r =kca. the conversion of A reaches 50% in a five minute

run.
a. What is the order of the reaction if it takes 10 minutes to reach 75% conversion?
b. What is the order of the reaction if it takes 20 minutes to reach 75% conversion?
c. What is the order of the reaction if it takes 30 minutes to reach 75% conversion?
Chemistry
1 answer:
Cloud [144]3 years ago
8 0

Answer:

A) 1

B) 2.5

C) 3.32

Explanation:

The  possibility of n=1 is not achievable in 20 minutes and 30 minutes as calculated n=1 for 10 minutes. The same conversion cannot be achieved for the  rest of the time which is impossible as 75% conversion and it cannot   be achieved at 10 min and 20 min at the same time

A) what is the order of the reaction if it takes 10 minutes to reach 75% conversion

= n ( order )  = 1

B) what is the order of reaction if it takes 20 minutes to reach 75% conversion

= n ( order ) ≈ 2.5

C) what is the order of reaction if it takes 30 minutes to reach 75% conversion

= n ( order ) ≈ 3.32

attached below is a detailed solution

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22. Radon has a half-life of 3.83 days. How long will it take a 225 g sample to decay to 14.06 g? (3pts.)
prohojiy [21]

Answer:

15.32 days

Explanation:

From the question given above, the following data were obtained:

Half-life (t½) = 3.83 days

Original amount (N₀) = 225 g

Amount remaining (N) = 14.06 g

Time (t) =.?

Next, we shall determine the number of half-lives that has elapsed. This can be obtained as follow:

Original amount (N₀) = 225 g

Amount remaining (N) = 14.06 g

Number of half-lives (n) =?

N = N₀ / 2ⁿ

14.06 = 225 / 2ⁿ

Cross multiply

14.06 × 2ⁿ = 225

Divide both side by 14.06

2ⁿ = 225 / 14.06

2ⁿ = 16

Express 16 in index form with 2 as the base

2ⁿ = 2⁴

n = 4

Thus, 4 half-lives has elapsed.

Finally, we shall determine the time. This can be obtained as follow:

Half-life (t½) = 3.83 days

Number of half-lives (n) = 4

Time (t) =.?

n = t / t½

4 = t / 3.83

Cross multiply

t = 4 × 3.83

t = 15.32 days

Therefore the time for 225 g sample of Radon to decay to 14.06 g is 15.32 days

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2 years ago
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