To a good approximation, the hydrogen chloride molecule, HCl, behaves vibrationally as a quantum harmonic oscillator of spring constant 480 N/m and with effective oscillating mass just that of the lighter atom, hydrogen. If it were in its ground vibrational state, what wavelength photon would be just right to bump this molecule up to its next-higher vibrational energy state?

An air/water counter flowing heat exchanger has one line with 2 kg/s at 125 kPa, 1000 K entering, and the air is leaving at 100 kPa, 400 K. The other line has 0.5 kg/s water entering at 200 kPa, 20$^{\circ} \mathrm{C}$ and leaving at 200 kPa. What is the exit temperature of the water?

A barometer measures 760 mm Hg at street level and 735 mm Hg on top of a building. How tall is the building if we assume air density of 1.15 kg/m3?

Show that the angles of scatter of the photon and elec­tron in the Compton effect are related by the following formula $\cot \frac{\theta}{2}=\left(1+\frac{h}{m c \lambda}\right) \tan \phi$

A 35-ft3 rigid tank has propane at 15 psia, 540 R and is connected by a valve to another tank of 20 ft3 with propane at 40 psia, 720 R. The valve is opened and the two tanks come to a uniform state at 600 R. What is the final pressure?

An electron is in an $\ell = 3$ state of the hydrogen atom. What possible angles might the angular momentum vector make with the z-axis?

A rigid tank of 1 m3 contains nitrogen gas at 600 kPa, 400 K. By mistake, someone lets 0.5 kg flow out. If the final temperature is 375 K, what is the final pressure?

Someone claims that the volume flow rate in a circular pipe with laminar flow can be determined by measuring the velocity at the centerline in the fully developed region, multiplying it by the cross-sectional area, and dividing the result by 2. Do you agree? Explain.

The following data, in physical units, describe a grinding process for January:

The elastic energy stored in your tendons can contribute up to 35% of your energy needs when running. Sports scientists have studied the change in length of the knee extensor tendon in sprinters and nonathletes. They find (on average) that the sprinters tendons stretch 41 mm, while nonathletes' stretch only 33 mm. The spring constant for the tendon is the same for both groups, 33 N/mm. What is the difference in maximum stored energy between the sprinters and the nonathlethes?

Ace Cleaning Service is considering expanding into one or more new market areas. Which costs are relevant to Ace’s decision on whether to expand?

$$\begin{matrix} \text{Sunk Costs} & \text{Variable Costs} & \text{Opportunity Costs}\\ \text{a. No} & \text{Yes} & \text{Yes}\\ \text{b. Yes} & \text{Yes} & \text{Yes}\\ \text{c. No} & \text{Yes} & \text{No}\\ \text{d. Yes} & \text{No} & \text{Yes}\\ \end{matrix}$$

A 1 m × 1 m horizontal flat heater is used for generating steam by boiling water at 1 atm. The boiling occurs at an excess temperature above $300^\circ C,$ but is maintained below the burnout point. Determine the range of the steam generation rate that can be achieved by the heater.

An electron is trapped in a quantum well (practically infinite). If the lowest-energy transition is to produce a photon of 450 nm wavelength, what should be the well's width?

Visual Company produces gadgets for the coveted small appliance market. The following data reflect activity for the year 2017: Visual Co. uses a normal-costing system and allocates overhead to work in process at a rate of $3.10 per direct manufacturing labor dollar. Indirect materials are insignificant so there is no inventory account for indirect materials. Required: 1. Prepare journal entries to record the transactions for 2017 including an entry to close out over- or under allocated overhead to cost of goods sold. For each journal entry indicate the source document that would be used to authorize each entry. Also note which subsidiary ledger, if any, should be referenced as backup for the entry. 2. Post the journal entries to T-accounts for all of the inventories, Cost of Goods Sold, the Manufacturing Overhead Control Account, and the Manufacturing Overhead Allocated Account.$

$$\begin{matrix} \text{Costs incurred:} & \text{ }\\ \text{Purchases of direct materials (net) on credit} & \text{\$ 121.000}\\ \text{Direct manufacturing labor cost} & \text{87.000}\\ \text{Indirect labor} & \text{54.400}\\ \text{Depreciation, factory equipment} & \text{53.000}\\ \text{Depreciation, office equipment} & \text{7.700}\\ \text{Maintenance, factory equipment} & \text{46.000}\\ \text{Miscellaneous factory overhead} & \text{9.100}\\ \text{Rent, factory building} & \text{99.000}\\ \text{Inventories:} & \text{ }\\ \text{ } & \text{January 1. 2017} & \text{December 31. 2017}\\ \text{Work in process} & \text{6.500} & \text{26.000}\\ \text{Finished goods} & \text{60.000} & \text{31.000}\\ \end{matrix}$$

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