Which of the following statements is true about energy quantization at the atomic level? Electrons in the outermost orbits are t
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Answer:
(-1) is the slope of a graph of In(y+3) on the vertical axis versus In(x-2) on the horizontal axis.
Explanation:
Taking natural logarithm on both the sides:
Slope intercept form is generally given as:
m = slope, c = intercept on y axis or vertical axis
On rearranging equation:
y = ln [(y+3)], x = ln [(x-2)], m=-1 , c = ln 2b
(-1) is the slope of a graph of In(y+3) on the vertical axis versus In(x-2) on the horizontal axis.
Explanation:
According to the Beer-lambert' s law,
Absrobance = absrobptitvity × lenght × concentration
So, if we will plot a graph between absrobance and concentration then we will obtain a straight line
Hence, formula to calculate slope of the graph is as follows.
The slope of graph =
The given data is as follows.
= 0.412 (first point)
= 0.642 (second point)
= 0.240 ppm (first point)
= 0.475 ppm (second point)
Hence, putting these values into the above formula we will calculate the value of slope as follows.
Slope =
=
=
= 0.978
It is known that for the graph, line equation can be written as follows.
y = mx + c ........... (1)
where, C = intercept
m = slope
Hence, calculate the value of intercept as follows.
0.412 = + c
c = 0.178
As it is given that the absorbance values 0.454 (the y-axis value). Therefore, putting this value into equation (1) we get the following.
y = mx + c
0.454 = + 0.178
0.276 = 0.978x
x = 0.282 ppm
Thus, we can conclude that the concentration of Pb in the given sample is 0.282 ppm.