Air enters a compressor operating at steady state at 1 bar, $22^{\circ} \mathrm{C}$ with a volumetric flow rate of $1 \mathrm{~m}^3 / \mathrm{min}$ and is compressed to $4 \mathrm{bar}, 177^{\circ} \mathrm{C}$. The power input is $3.5 \mathrm{~kW}$. Employing the ideal gas model and ignoring kinetic and potential energy effects, obtain the following results:

(a) For a control volume enclosing the compressor only, determine the heat transfer rate, in $\mathrm{kW}$, and the change in specific entropy from inlet to exit, in $\mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}$. What additional information would be required to evaluate the rate of entropy production?

(b) Compute the rate of entropy production, in $\mathrm{kW} / \mathrm{K}$, for an enlarged control volume enclosing the compressor and a portion of its immediate surroundings so that heat transfer occurs at the ambient temperature, $22^{\circ} \mathrm{C}$.

A job pays an annual salary of $33,150, which includes a holiday bonus of$750. If paychecks are issued twice a month, what is the gross amount for each paycheck?

An account earns simple interest. (a) Find the interest earned. (b) Find the balance of the account. $\$ 5200$ at $7.36 \%$ for $54$ months

Mr. Whittaker earns b dollars biweekly. His employer is changing the pay procedure to monthly, but no annual salaries are changing. Express his monthly salary algebraically.

The velocity profile for fully developed flow of carbon tetrachloride at 680F between parallel plates (gap a=0.05 in.), with the upper plate moving, is given by $u=\frac{U y}{a}+\frac{a^{2}}{2 \mu}\left(\frac{\partial p}{\partial x}\right)\left[\left(\frac{y}{a}\right)^{2}-\left(\frac{y}{a}\right)\right]$. Assuming a volume flow rate per unit depth is 1.5 gpm/ft for zero pressure gradient, find U. Evaluate the shear stress on the lower plate. Would the volume flow rate increase or decrease with a mild adverse pressure gradient? Calculate the pressure gradient that will give zero shear stress at y/a = 0.25. Plot the velocity distribution and the shear stress distribution for this case.

Prove that the given equation is an identity.

$$\frac{\sin 2 x}{\sin x}=\frac{2}{\sec x}$$

Which of the following provisions would most likely appear in a workplace contract?

A Salary to be paid

B The employee's birthday

C A company description

D Computer passwords

Air enters a compressor operating at steady state at 1.05 bar, 300 K, with a volumetric flow rate of $12 \:m^3/min$ and exits at 12 bar, 400 K. Heat transfer occurs at a rate of 2 kW from the compressor to its surroundings. Assuming the ideal gas model for air and neglecting kinetic and potential energy effects, determine the power input, in kW.

Find each value. Then sketch a diagram that shows the absolute value.

$$|-3-i|$$

Felix Skateboards Company uses the indirect method to prepare the statement of cash flows. Refer to the following statement:

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ Felix Company
$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$Income Statement
$~~~~~~~~~~~~~~~~~~~~$Year ended December 31 2017

Additional information provided by the company includes the following:

1. Current assets other than cash increased by$20,000
2. current liabilities decreased by $1,500

Compute the net cash provided by (used for) operating activities.

What accounts on the balance sheet must be evaluated when completing the investing activities section of the statement of cash flows?

You pick four numbers out of a set of 30. If four numbers are selected at random from this set, what is the probability that the four numbers you picked are selected?

A researcher has developed an assay to measure the activity of an important enzyme present in pancreatic cells growing in culture. She adds the enzyme's substrate to a dish of cells and then measures the appearance of reaction products. The results are graphed as the amount of product on the y-axis versus time on the x-axis. The researcher notes four sections of the graph. For a short period of time, no products appear (section A). Then (section B) the reaction rate is quite high (the slope of the line is steep). Next, the reaction gradually slows down (section C). Finally, the graph line becomes flat (section D). Draw and label the graph, and propose a model to explain the molecular events occurring at each stage of this reaction profile.

If you know a job pays k dollars per hour, how can you use unit rates to find the job's yearly salary? Explain.