D is the correct answer! YAYYYYYYAA!!
Answer:
5.65mg of the isotope remains
Explanation:
The radioactive decay follows the equation:
Ln[A] = -kt + ln[A]₀
<em>Where [A] is amount of the isotope after time t, k is decay constant, and [A]₀ is initial amount of the isotope.</em>
k = ln 2 / Half-life
k = ln 2 / 3.82 days
k = 0.18145days⁻¹
Replacing:
Ln[A] = -0.18145days⁻¹*10.1days + ln[35.3mg]
ln[A] = 1.7312
[A] = 5.65mg of the isotope remains
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The question is incomplete, here is the complete question:
A murexide soution has a concentration of
and an absorbance of 1.850 and the path length is 1 cm. What is the molar absorptivity of the solution?
<u>Answer:</u> The molar absorptivity coefficient is ![5255.7M^{-1}cm^{-1}](https://tex.z-dn.net/?f=5255.7M%5E%7B-1%7Dcm%5E%7B-1%7D)
<u>Explanation:</u>
To calculate the molar absorptivity coefficient, we use the equation given by Beer-Lambert law, which is:
![A=\epsilon Cl](https://tex.z-dn.net/?f=A%3D%5Cepsilon%20Cl)
where,
A = absorbance = 1.850
= molar absorptivity coefficient = ?
C = concentration of the solution = ![3.52\times 10^{-4}M](https://tex.z-dn.net/?f=3.52%5Ctimes%2010%5E%7B-4%7DM)
l = path length = 1 cm
Putting values in above equation, we get:
![1.850=\epsilon\times 3.52\times 10^{-4}M\times 1cm\\\\\epsilon=\frac{1.850}{3.52\times 10^{-4}\times 1}=5255.7M^{-1}cm^{-1}](https://tex.z-dn.net/?f=1.850%3D%5Cepsilon%5Ctimes%203.52%5Ctimes%2010%5E%7B-4%7DM%5Ctimes%201cm%5C%5C%5C%5C%5Cepsilon%3D%5Cfrac%7B1.850%7D%7B3.52%5Ctimes%2010%5E%7B-4%7D%5Ctimes%201%7D%3D5255.7M%5E%7B-1%7Dcm%5E%7B-1%7D)
Hence, the molar absorptivity coefficient is ![5255.7M^{-1}cm^{-1}](https://tex.z-dn.net/?f=5255.7M%5E%7B-1%7Dcm%5E%7B-1%7D)
An ore is a type of rock that contains many minerals. But a mineral is just a part of the ore. So all ores are minerals but all minerals are not ores.