82
Graphical Representation
(d) Calculate the value of the energy of the reaction for this reaction
(e) What is the physical significance of the constant 7 ~*
PROBLEMS B
8 Construct graphs for each of the following functions, plotting m as ordmate
and n as abscissa
(a) m = 2 STTO
(d) m = 4(« - 1)(b) m - 20 - 4n
(e) m - 4e " -"
(c) mn = 1/4
9 Rearrange those equations in Problem 8 that do not give a straight-line relationship in such a way that, when plotted in a different fashion, they will yield
a straight line Plot each of these new equations showing which function
extends along each axis
10 (a) Plot the solubility of K 2 SO 4 in water as a function of temperature the
solubility S is given as g per 100 g of H,O The experimental data are the
following
/ (°C)
5
200
98
400
14 2
600
183
800
21 6
1000
259
(b) Draw a graph on the plot made in (a), and determine the mathematical
equation for S as a function of t
*(c) (/) Using the method of least squares, find the equation of the line that best
fits the given data (n) Find the correlation coefficient and the 95% confidence intervals for both slope and the \ intercept of the best-fit equation (//() On the plot made in (a), draw a line that corresponds to the
best-fit equation
11 (a) The nature of colonmetnc analysis is described in Problem 4 With this in
mind, use the following data (obtained for the absorption of light by CrO 4
ions at a wavelength of 3660 A in a cell with a 1 00 cm light path) to
construct a graph of ///„ against C (as abscissa), where C is the concentration of CrO 4 m moles of CrO 4 per liter of solution
C
0 80 x 10 '
0410
1 20 x 10
4
0 276
1 60 x 10
4
0 174
2 00 x 10
4
0 111
(b) Replot the given data on semilog paper, again plotting concentration along
the abscissa, but plotting /<,// along the ordmate
(c) From the graph made in (b), find the mathematical equation for the relationship between I 0 /I and C
*(d) (() Using the method of least squares, find the equation of the best-fit line
for the data as plotted in (b) above (//) Find the correlation coefficient
and the 95% confidence intervals for both the slope and the v intercept of
Graphical Representation
(d) Calculate the value of the energy of the reaction for this reaction
(e) What is the physical significance of the constant 7 ~*
PROBLEMS B
8 Construct graphs for each of the following functions, plotting m as ordmate
and n as abscissa
(a) m = 2 STTO
(d) m = 4(« - 1)(b) m - 20 - 4n
(e) m - 4e " -"
(c) mn = 1/4
9 Rearrange those equations in Problem 8 that do not give a straight-line relationship in such a way that, when plotted in a different fashion, they will yield
a straight line Plot each of these new equations showing which function
extends along each axis
10 (a) Plot the solubility of K 2 SO 4 in water as a function of temperature the
solubility S is given as g per 100 g of H,O The experimental data are the
following
/ (°C)
5
200
98
400
14 2
600
183
800
21 6
1000
259
(b) Draw a graph on the plot made in (a), and determine the mathematical
equation for S as a function of t
*(c) (/) Using the method of least squares, find the equation of the line that best
fits the given data (n) Find the correlation coefficient and the 95% confidence intervals for both slope and the \ intercept of the best-fit equation (//() On the plot made in (a), draw a line that corresponds to the
best-fit equation
11 (a) The nature of colonmetnc analysis is described in Problem 4 With this in
mind, use the following data (obtained for the absorption of light by CrO 4
ions at a wavelength of 3660 A in a cell with a 1 00 cm light path) to
construct a graph of ///„ against C (as abscissa), where C is the concentration of CrO 4 m moles of CrO 4 per liter of solution
C
0 80 x 10 '
0410
1 20 x 10
4
0 276
1 60 x 10
4
0 174
2 00 x 10
4
0 111
(b) Replot the given data on semilog paper, again plotting concentration along
the abscissa, but plotting /<,// along the ordmate
(c) From the graph made in (b), find the mathematical equation for the relationship between I 0 /I and C
*(d) (() Using the method of least squares, find the equation of the best-fit line
for the data as plotted in (b) above (//) Find the correlation coefficient
and the 95% confidence intervals for both the slope and the v intercept of