The fluorocarbon compound

$$C_2Cl_3F_3$$

has a normal boiling point of

$$47.6 ^ { \circ } \mathrm { C }$$

The specific heats of

$$C_2Cl_3F_3 (l)$$

and

$$C_2Cl_3F_3(g)$$

are 0.91 and 0.67 J/g-K, respectively. The heat of vaporization for the compound is 27.49 kJ / mol. Calculate the heat required to convert 35.0 g of

$$C_2Cl_3F_3$$

from a liquid at

$$10.00 ^ { \circ } C$$

to a gas at

$$105.00 ^ { \circ } C$$

a. Sketch the graph of function y = 4$^x$ using at least five points.

b. Use the results of Part a to plot at least five points on the graph of $y=\log _4 x$.

Consider the following preference schedule for three candidates. Which candidate wins by the point system (Borda count)? Is Fairness Criterion 1 satisfied? Explain.

As mentioned in the earlier notes, it's possible to draw a Venn diagram with four circles.

Count the number of different regions in a Venn diagram with two circles, and in one with three circles. Include the portion inside the rectangle but outside of the circles.

Find the least squares approximating line for the given points and compute the corresponding least squares error. (0, 4), (1, 1), (2, 0)

A refrigerator is used to cool water from 23 to 5$^\circ{}$C in a continuous manner. The heat rejected in the condenser is 570 kJ/min and the power is 2.65 kW. Determine the rate at which water is cooled in L/min and the COP of the refrigerator. The specific heat of water is 4.18 kJ/kgK and its density is 1 kg/L. Answers: 5.46 L/min, 2.58

Determine if the statement is true or false, and justify your answer. (a) Suppose A is a matrix with n rows and m column s. If n < m, then the columns of A span $\mathbf{R}^{n}$. (b) Suppose A is a matrix with n rows and m columns. If m < n, then the column s of A span $\mathbf{R}^{n}$.

Write the letter for the word that best completes given sentence.
__________ Movies that contain a lot of gratuitous violence are __________ to me.
a. estranged
b. disdainful
c. enamored
d. abhorrent

Find the components of the vector v with initial point P and terminal point Q. Find |v|. Sketch |v|. Find the unit vector u in the direction of v. P:(-3, 0, 4, 0, -0.5), Q:(5.5, 0, 1.2)

Rock Formations A rock formation in Ireland is called the Giant's Causeway. It is made up of about 40,000 columns of rock that formed as lava cooled after a volcanic eruption. Most of the columns are hexagonal with average side lengths of 14 inches and an apothem that is $7 \sqrt{3}$ inches long. What is the approximate area covered by the top surface of the 40,000 stone columns?

Draw a tree diagram to show each sample space. Then count the number of possible outcomes. A box has two shapes: 1 triangle, 1 square. Without looking, pull a shape, and then roll a number cube.

An ice cube tray contains enough water at $22.0 ^ { \circ } \mathrm { C }$ to make 18 ice cubes, each of which has a mass of 30.0 g. The tray is placed in a freezer that uses $\mathrm { CF } _ { 2 } \mathrm { Cl } _ { 2 }$ as a refrigerant. The heat of vaporization of $\mathrm { CF } _ { 2 } \mathrm { Cl } _ { 2 }$ is 158 $\mathrm { J/g }.$ What mass of $\mathrm { CF } _ { 2 } \mathrm { Cl } _ { 2 }$ must be vaporized in the refrigeration cycle to convert all the water at $22.0 ^ { \circ } \mathrm { C }$ to ice at $- 5.0 ^ { \circ } \mathrm { C } ?$ The heat capacities for $\mathrm { H } _ { 2 } \mathrm { O } ( s )$ and $\mathrm { H } _ { 2 } \mathrm { O } ( l )$ are $2.08\ \mathrm { J }\ g ^ { - 1 \circ } \mathrm { C } ^ { - 1 }$ and $4.18\ \mathrm { J }\ g ^ { - 1 \circ } \mathrm { C } ^ { - 1 } ,$ respectively, and the enthalpy of fusion for ice is 6.01 kJ/mol.

Which is more likely: obtaining at least one head in two tosses of a fair coin, or at least two heads in four tosses of a fair coin?

Refer to a fair coin that is repeatedly flipped. If the coin is flipped 10 times, what is the probability of at least one head given at least one tail?