Answer:
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Answer: determines the age of sample Carbon-14 is used in radiocarbon dating and radiolabeling. Medically important, a radioactive isotope is carbon-14, which is used in a breath test to determine the ulcer-causing bacteria Heliobacter pylori
The radiocarbon age of a certain sample of unknown age can be determined by measuring its carbon 14 content and comparing the result to the carbon-14 activity in modern and background samples.
The given function is:
P = 120 i / (i^2 + i + 9)
or
P = 120 i (i^2 + i + 9)^-1
<span>The maxima point is obtained by taking the 1st
derivative of the function then equating dP / di = 0:</span>
dP / di = 120 (i^2
+ i + 9)^-1 + (-1) 120 i (i^2 + i + 9)^-2 (2i + 1)
setting dP / di =0 and multiplying whole equation by (i^2
+ i + 9)^2:
0 = 120 (i^2 + i + 9) – 120i (2i + 1)
Dividing further by 120 will yield:
i^2 + i + 9 – 2i^2 – i = 0
-i^2 + 9 =0
i^2 = 9
<span>i = 3 (ANSWER)</span>
Therefore P is a maximum when i = 3
Checking:
P = 120 * 3 / (3^2 + 3 + 9)
P = 17.14
Answer:
pH = 11.7
Explanation:
<u>Given:</u>
[OH-] = 0.00500 M
<u>To determine:</u>
pH of the solution
<u>Explanation:</u>
pH refers to the H+ ion concentration in a given solution whereas pOH indicates the OH- ion concentration.
pH and pOH are related by the following equation:
Here:
![pH = -log[H+]\\\\pOH = -log[OH-]](https://tex.z-dn.net/?f=pH%20%3D%20-log%5BH%2B%5D%5C%5C%5C%5CpOH%20%3D%20-log%5BOH-%5D)
When OH- = 0.00500 M
Based on equation(1):
