Answer: Option (c) is the correct answer.
Explanation:
According to Le Chatelier's principle, when a system is in equilibrium for a long time then it will change its concentration, temperature, volume or pressure to attain a new equilibrium that partly counteracts the applied change.
Since it is given that reaction is exothermic therefore, according to Le Chatelier's principle increase in temperature will be opposed so that reaction can proceed in the forward direction. Therefore, temperature has to be decreased to carry the reaction in forward direction.
Whereas pressure has to be increased so that reaction will shift to the forward side where there are less number of molecules.
Thus, we can conclude that to increase the yield of the products for the given reaction decrease the temperature and increase the pressure.
The electron cloud model, also known as the quantum mechanical model, describes electrons as existing in regions of space around the nucleus called electron orbitals or electron clouds. These electron orbitals are three-dimensional probability distributions that represent the likelihood of finding an electron at a specific location.
According to this model, electrons do not follow precise paths like planets around the sun in a classical sense. Instead, they exist in a state of probability and can be found within certain regions around the nucleus with different levels of energy. These regions are defined by the principal quantum number (n), which corresponds to the electron's energy level or shell, as well as other quantum numbers that specify the shape, orientation, and spatial distribution of the orbitals.
Electrons are considered to have both particle-like and wave-like properties, and their behavior is described by the principles of quantum mechanics. The electron cloud model provides a more accurate and comprehensive description of the behavior and distribution of electrons in an atom compared to the older Bohr model, which depicted electrons as orbiting the nucleus in specific paths.
Hence, the electrons are described by the electron cloud model.
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B. 3.33 L
C. 5.60 L
D. 20.8 L
The correct answer is 9.6h.
As you know, a radioactive isotope's nuclear half-life tells you exactly how much time must pass in order for an initial sample of this isotope to be halved.
Using the formula , A = Ao.
where , A- final mass after decay
Ao - initial mass
n - the number of half-lives that pass in the given period of time
Now, putting all the values, we get
1.3 × mg = 0.050 mg ×
Take the natural log of both sides of the equation to get,
㏑ = ㏑
㏑ = n. ln
n = 1.6
Since n represents the number of half-lives that pass in a given period of time, you can say that
t= 1.6 × 6 h
t = 9.6h
Hence, it will take 9.6 h until the radioactive isotope decays.
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Using the formula for radioactive decay and the provided half-life of technetium-99m, it can be calculated that it takes approximately 28.5 hours for 0.050 mg of technetium-99m to decay to a quantity of 1.3 x 10^-2 mg.
The decay of a radioactive isotope is an exponential process based on the half-life, which is, in turn, constant for any given isotope. The general formula for the remaining quantity of a radioactive isotope after a given time is given by: N = N0 (0.5) ^(t/t1/2), where (N0) is the initial amount, (N) is the remaining amount, (t) is time, and (t1/2) is the half-life of the isotope. In this case, we are given the initial quantity (N0 = 0.050 mg), the remaining quantity (N = 1.3 x 10^-2 mg), and the half-life (t1/2 = 6.0 hours).
We can solve for time (t) in the equation: N = N0 (0.5) ^(t/t1/2). Plugging in the values, we get 1.3 x 10^-2 = 0.050 x (0.5)^(t/6), and solving for t, we find that it takes approximately 28.5 hours for the technetium-99m to decay to 1.3 x 10^-2 mg.
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B. 7.5
C. 15
D. 30
The answer is D. 30 percent