Q3. If there is 10 渭mol of the radi... [FREE SOLUTION]

Chapter 12: Q3. (page 398)

If there is 10 渭mol of the radioactive isotope 鲁虏P (half-life 14 days) at t=0, how much will 鲁虏P remain at (a) 7 days, (b) 14 days, (c) 21 days,
and (d) 70 days?

Short Answer

Expert verified

The quantity of 鲁虏P that will remain after 7 days is 7.04 渭mol.
The quantity of 鲁虏P that will remain after 14 days is 4.96渭mol.
The quantity of 鲁虏P that will remain after 21 days is 3.49渭mol.
The quantity of 鲁虏P that will remain after 70 days is 0.3渭mol.

Step by step solution

Half-life

The time it takes for a substance's concentration to drop to half of its starting value is known as the half-life period. The reaction's starting concentration has no bearing on the reaction's half-life.

Explanation for (a)

The half-life of 鲁虏P is 7 days.

The expression used to calculate the concentration of radioactive isotope at half-life is:

$[A] = [A] e^{- kt}$

Now,

$t_{1 / 2} = \frac{0.693}{k} k = \frac{0, 693}{t_{\frac{1}{2}}} k = 0.05 {days}^{- 1}$

On substituting the value of k and t in the expression,

$[A] = [A] e^{- kt} 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� = 10 脳 e^{- 0.35} 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� = 7.04 渭鈥� mol$

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[S] (mM)	v鈧� (mM min鈦宦�)	v鈧� with I present (mM min鈦宦�)
1	1.3	0.8
2	2.0	1.2
4	2.8	1.7
8	3.6	2.2
12	4.0	2.4

91影视

If there is 10 渭mol of the radioactive isotope 鲁虏P (half-life 14 days) at t=0, how much will 鲁虏P remain at (a) 7 days, (b) 14 days, (c) 21 days,
and (d) 70 days?

Short Answer

Step by step solution

Half-life

Explanation for (a)

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91影视

If there is 10 渭mol of the radioactive isotope 鲁虏P (half-life 14 days) at t=0, how much will 鲁虏P remain at (a) 7 days, (b) 14 days, (c) 21 days, and (d) 70 days?

Short Answer

Step by step solution

Half-life

Explanation for (a)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Biology Textbooks

Cell Communication

Cellular Energetics

Cell Cycle

Biological Organisms

Ecological Levels

Plant Biology

Study anywhere. Anytime. Across all devices.

If there is 10 渭mol of the radioactive isotope 鲁虏P (half-life 14 days) at t=0, how much will 鲁虏P remain at (a) 7 days, (b) 14 days, (c) 21 days,
and (d) 70 days?