ENGR1300 - Exam1 Review Solutions

Exam 1 Review (10618659) - Learning Catalytics

1.

In the year 2027, Titan Submersible S ubmersible Explorer (TSE) lands on a lake of methane (specific gravity = 0.415) and submerges to a depth of 40 meters to explore the the bottom of the lake. The surface pressure on Titan is 21.3 pounds-force per square inch (psi) and the acceleration due to gravity is 1.35 meters per second squared. What is the total pressure on the TSE at that depth in units of kilopascals?    

A. 1.69 kPa B. 146 kPa C. 169 kPa D. 22 kPa

2.

The inside of an airplane is kept ke pt at 75 degrees Fahrenheit, or what wh at most people would consider "room temperature". What is the difference in temperature between the outside of the plane at cruising altitude (-60 degrees Celsius) and the inside of the p lane at "room temperature", in units of kelvins?    

A. 151 kelvin B. 272 kelvin C. -1 kelvin D. 84 kelvin

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3.

The heat loss (Q / t, in units un its of calories per hour) from the surface of a hot liquid is given by: Qt =hA( hA(T −T 0)

Express the heat transfer coefficient (h) in fundamental dimensions if the area (A) is given in units of square meters. meters. Both the temperature of the the liquid (T) and the ambient temperature temperature (T0) are measured in degrees Celsius.

A B C D

   

M 0 1 1 0

L -2 2 0 0

T 0 1 -3 0

Q -1 -1 -1 0

N 0 0 0 0

I 0 0 0 0

J 1 0 0 0

A. A B. B C. C D. D

4.

A simple expression for the velocity of molecules in a gas is:

v = √  In terms of fundamental dimensions, what are the u nits of the constant K if the velocity (v) is given in meters per second, pressure (P) in pascals, and density (r) in kilograms per liter?

A B C D

   

M 0 0 -1 0

L -1 0 1 -2

T 1 0 -1 2

Q 0 0 0 0

N 0 0 0 0

I 0 0 0 0

J 0 0 0 0

A. A B. B C. C D. D

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5.

A "typical" astronaut has a weight of 200 2 00 pounds-force on Earth. What is the weight of the astronaut on the International Space Station, in units of newtons? The gravity on the moon is 1.6 meters per second squared. The gravity gravit y on Mars is 3.7 meters per second squared.    

A. 0 N B. 90.7 N C. 889 N D. 3,000 N

6.

The HRS protects the instrumentation from the harsh temperature of Ma rs. Express the average temperature on Mars in units of kelvin. Mars' temperature ranges between 68 degrees Fahrenheit to -220 degrees Fahrenheit.    

A. 213 K B. 297 K C. 688 K D. 333 K

7.

A colleague is calculating the thermal capacity cap acity of the HRS. Convert the specific heat of Freon into units of BTU per mole dgree Fahrenheit. The specific heat of Freon is 74 joules per mole kelvin.    

A. 0.039 BTU / (mol °F) B. 0.216 BTU / (mol °F) C. 0.072 BTU / (mol °F) D. 0.126 BTU / (mol °F)

8.

The Apollo missions brought back 2,415 rock samples from the moon weighing 382 kilograms in total. What is the weight of the rocks on Earth, in units of pounds-force? The gravity on the moon is 1.6 meters per second squared.    

A. 842 lbf B. 8.77 lbf C. 16,638 lbf D. 163 lbf Page 3 of 20


9.

The Trieste was a Swiss-designed, Italian-built deep-diving research bathyscaphe with a crew of two, which reached a record maximum depth in the Challenger Deep section of teh Mariana Trench in January 1960. If the vessel was designed to withstand 112 megapascals of total pressure in salt water (SG = 1.025), how deep could the vessel safely travel?    

A. 11,150 kilometers B. 11.1 kilometers C. 110 kilometers D. 89.6 kilometers

10.

A scuba tank on land has a mass of 14.4 kilograms when empty and 16.2 kilograms when full. How many moles of air does the tank hold? Assume the molecular weight of air is 29 grams per mole.    

A. 52,200 moles B. 62 moles C. 16 moles D. 469,800 moles

11.

Since the Trieste, no manned craft has returned to the Challenger Deep section of the Mariana Trench, but several robotic crafts have made the dive. The latest, the Nereus, is a remotely operated underwater vehicle built by the Woods Hole Oceanographic Institution. In May 2009, the Nereus reached a depth of 35,768 feet. Let us imagine that instead of salt water (SG = 1. 025), the Nereus is used to explore vast sea of benzene (SG = 0.876) -- assume you are still on Earth. If the pressure felt by the Nereus remains the same in both instances, which of the following statements is true? 







A. In benzene, the Nereus can dive to a deeper depth than 35,768 feet compared to salt water. B. In benzene, the Nereus can dive to the same depth of 35,768 feet compared to salt water. C. In benzene, the Nereus can dive to a shallower depth than 35,768 feet compared to salt water. D. There is not enough information presented to solve this problem.

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12.

At the end of 20,000 Leagues Under the Sea, the Nautilus becomes trapped in a powerful whirlpool (Moskstraumen, off the coast of Norway). Assume instead the Nautilus encoun tered a category 5 hurricane. If the pressure in the eye is 725 millimeter of mercury, what is this pressure in units of feet of water?    

A. 21.4 feet of water B. 2.38 feet of water C. 821 feet of water D. 32.3 feet of water

13.

Inspired after reading 20,000 Leagues Under the Sea, we decide to go scuba diving in Lake Jocassee. Lake Jocassee is a freshwater, man-made lake in South Carolina. At a depth of 30 feet, what is the force in newtons on o n the outside of our mask if it can be modeled with a circular area with a 6-inch diameter?    

A. 7,215 newtons B. 3,485.6 newtons C. 13,847 newtons D. 351 newtons

14.

The 1,230 kilogram DeLorean DMC-12 time machine must accelerate from a stop to 88 miles per hour before the flux capacitor can function properly. What is the kinetic energy of the time machine at this velocity in units of Megajoules?     

A. 0.95 Megajoules B. 1.9 Megajoules C. 110 Megajoules D. 3428 Megajoules E. 447 Megajoules

15.

Determine the density of chlorine (Cl2) gas at 25 degrees Celsius and a pressure of 0.6 atmospheres. Assume chlorine is an ideal gas and obeys the ideal gas law. The molecular weight of chlorine is 70 grams per mole.    

A. 0.00035 grams per liter B. 0.58 grams per liter C. 1.71 grams per liter D. 20.4 grams per liter Page 5 of 20


16.

Assume an 11 liter tank is filled with 80 moles of air, and the pressure gauge gau ge reads 203 bar. What is the temperature of the air in the tank in units of degrees Celsius? Assume the molecular weight of air is 20 grams per mole.    

A. 392 degrees Celsius B. 608 degrees Celsius C. 70 degrees Celsius D. 62 degrees Celsius

17.

A "typical" astronaut has a weight of 35 3 5 pounds-force on the moon. What is the weight of the astronaut on Mars, in units of pounds-force? The gravity on Mars is 3.7 meters per second squared.    

A. 81 lbf B. 5.9 lbf C. 207 lbf D. 792 lbf

18.

The Lunar Rover Vehicle (LRV) weighs 463 pounds-force on Earth. What is the th e weight of the LRV on the Moon, in units of pounds-force? The gravity on the moon is 1.6 meters per second squared.    

A. 75.6 lbf B. 3.83 lbf C. 463 lbf D. 1,489 lbf

19.

Lightweight and strong materials are the key to h abitation. The material used to build a habitat on Mars has a specific gravity of 1.3. How much does one cubic cub ic yard of material weigh on Mars in newtons? The gravity on Mars is 3.7 meters per second squared.    

A. 3,680 N B. 296 N C. 0.37 N D. 9,748 N

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20.

In calculating the mass of the HRS, the amount of Freon used must be taken into account. If the HRS has a holding tank of 2.5 gallons and it is filled completely with Freon, what is the weight of Freon in units of pounds-force when the HRS has landed on Mars? Ma rs? The specific heat of Freon is 74 joules per mole kelvin. The specific gravity of Freon is 1.49.    

A. 11.75 lbf B. 232 lbf C. 31.1 lbf D. 0.012 lbf

21.

A simple expression for the velocity of molecules in a gas is:

In terms of base SI units, what are the units of the constant K if the velocity velocit y (v) is given in meters per second, pressure second, pressure (P) in pascals, and density (ρ) in grams per cubic centimeter?     

A. K has units of seconds per meter B. K has units of meters per second C. K has units of grams per pascal cubic centimeter D. K has units of meters per second squared E. K is unitless

22.

The heat loss (Q / t, in units un its of joules per second) from the surface of a hot liquid is given by: Qt =hA( hA(T −T 0)

Express the heat transfer coefficient (h) in base SI un its if the area (A) is given in units of square meters. Both the temperature of the the liquid (T) and the ambient temperature (T0) are measured in degrees Celsius.     

A. h has units of joules per (meter s squared second) B. h has units of kilograms per (seconds cubed de gree Celsius) C. h has units of kilogram meters squared second per (degree Celsius) D. h has units of joules per (mete r squared) E. h is unitless Page 7 of 20


23.

When a liquid is placed in a tube with a small inside diameter, the surface t ension in the liquid will cause the liquid to rise in the tube. The height (H) to which it will rise:

H =4σDρg Here, σ is the surface tension, ρ the fluid density, D the tube inner diameter, and g the acceleration of gravity. Mercury has a surface te nsion of 487 millinewtons per meter and a specific gravity of 13.6. How high will the liquid rise in a tube with inside diameter of 0.25 inches? Express your answer in units of centimeters.     

A. 9.7 x 10^(-4) centimeters B. 2.3 x 10^(-4) centimeters C. 0.23 centimeters D. 23 centimeters E. 58.4 centimeters

24.

Which of the following is not a possible p ossible temperature of Jupiter's largest moon, Ganymede?     

A. -121 degrees Celsius B. -261 degrees Fahrenheit C. 70 kelvins D. 15 degrees Rankine E. -5 degrees Rankine

25.

To complete a mechanical operation, a system system required 500 joules of energy. Which of the following power sources can you use to accomplish the task in less than 30 seconds?     

A. 18 watts, 80% efficient B. 18 watts, 120% efficient C. 20 watts, 90% efficient D. 20 watts, 120% efficient E. 20 watts, 50% efficient

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26.

Space suits are designed to withstand temperatures of -180 degrees Fahrenheit to 277 degrees Fahrenheit. What is teh coldest temperature the suits are designed to withstand in units of kelvin?     

A. 390 kelvin B. 93 kelvin C. 6.6 kelvin D. 155 kelvin E. -182 kelvin

27.

When a flowing fluid is stopped, its pressure increases. This is called stagnation pressure. The stagnation pressure is determined by: atm P stagnation = 12 2 + P atm

where ρ is the fluid density, v the fluid speed, and Patm the atmospheric pressure. Calculate the stagnation pressure in units of atmospheres for acetone flowing at 25 feet per second. Assume the density of acetone to be 785 kilograms per cubic meter.     

A. 121 atm B. 2.4 atm C. 1.2 atm D. 1.03 atm E. 0.2 atm

28. On average, a bolt of lightning provides 500 Megajoules of energy. Doctor Emmitt Brown's flux capacitor nees 1.21 Giga-watts of power to his DeLorean DMC-12 time machine. How long must the lightning bolt be in contact with the car to completely charge the flux capacitor? Assume 100% of the energy from the lightning is captured by the capacitor.     

A. 2.4 seconds B. 4.1 seconds C. 24 seconds D. 0.4 seconds E. 40 seconds

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29.

The DeLorean DMC-12's gasoline engine is able to accelerate from 0 to 60 miles per hour in 8.8 seconds, requiring 850 kilojoules of energy. The DeLorean's engine is rated at 170 horsepower. What is the efficiency of the engine during this acceleration expressed as a percentage?     

A. 24% B. 76% C. 56% D. 131% E. 93%

30.

The flux capacitor provides 1.21 Giga-watts of power to the DeLorean DMC-12 time machine using plutonium. Plutonium has a specific heat capacity of 35.5 joules per mole kelvin, and a molecular weight of 244 grams per mole. What temperature will the plutonium reach, in units of kelvin, if a 25 gram sample of plutonium is heated with 100 joules? Assume the plutonium starts at room temperature (72 degrees Fahrenheit).     

A. 323 kelvin B. 27.5 kelvin C. 72.1 kelvin D. 295 kelvin E. 147 kelvin

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31.

Doctor Emmitt Brown's DeLorean is out of fuel. To return to his own time, he must get his time machine up to a velocity velo city of 88 miles per hour. He replaces the tires with rail wheels and constructs a track down a steep hillside. Assuming that no energy is wasted on friction, how high must the hill be in units of meters to achieve achi eve the required velocity at the bottom.     

A. 774 meters B. 79 meters C. 158 meters D. 120 meters E. 455 meters

32.

Doctor Emmitt Brown's flux capacitor provides 1.21 Gigawatts of power to his DeLorean DMC12 time machine. What is this in units of horsepower?     

A. 1.62 x 10^6 horsepower B. 162 horsepower C. 903 horsepower D. 9.03 x 10^6 horsepower E. 62.8 horsepower

33.

The DeLorean featured in the movie is an actual car, made by John DeLorean. He had originally envisioned the car would produce 200 horsepower, but eventually settled on 170 horsepower output for the engine. In the United States, the vehicles were required to have catalytic converters, causing a 40 horsepower reduction in output power. If the DeLorean requires 850 kilojoules to reach a speed of 60 miles per hour, how much longer does a US model take to reach 60 mph than its European counterpart?     

A. 6.7 seconds B. 2 seconds C. 1.25 seconds D. 14 seconds E. 8.7 seconds

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34.

Doctor Emmitt Brown's flux capacitor provides 1.21 Giga-watts of power to his DeLorean DMC-12 time machine. If the flux capacitor discharges all of its stored energy in 1.2 seconds at this power, what is the total energy discharged b y the flux capacitor in units of kilowatt-hours?     

A. 24,200 kilowatt-hours B. 24 kilowatt-hours C. 0.4 kilowatt-hours D. 403 kilowatt-hours E. 113 kilowatt-hours

35.

Plutonium isotopes undergo decay, producing heat. Plutonium isotope 239 (Pu-239) has 1.9 watts per kilogram of decay heat. How much heat, in units of calories, will 1 mole of Pu-239 release after decaying for one hour? Assume plutonium has a polecular weight of 244 grams per mole.     

A. 398,880 calories B. 1.6 calories C. 0.11 calories D. 56 calories E. 400 calories

36.

Santa is trying to model various factors that impact his deliver time on Christmas Eve using fundamental dimension and the equation laws.

   where E = energy [J], V = volume [m3], and ρ = density [kg / m 3]

What is the quantity through the use of fundamental dimensions?    

A. Velocity B. Acceleration C. Force D. Power

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37.

The thermal conductivity of Rudolph's nose is determined to be 50 watts per meter kelvin. What is the thermal conductivity in units of BTU per (foot hour degrees Fahrenheit)?

   

A. 311 BTU / (ft h ºF) B. 29 BTU / (ft h ºF) C. 94 BTU / (ft h ºF) D. 1,734 BTU / (ft h ºF)

38.

Heat Miser holds a plastic shovel in his hand, heating it to the point just before it starts to melt. Assume the shovel has a weight of 0.196 Newtons. The temperature of Heat Miser's cave (and thus the original plastic) is 90 degrees Fahrenheit. If we add 500 joules of heat energy to the plastic, what is the final temperature of the material? Assume the specific specific heat capacity of plastic is 1.3 kilojoules per kilogram kelvin.

   

A. 93.5 ºF B. 125 ºF C. 109 ºF D. 155 ºF

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39.

In his travels, Rudolph meets Yukon Cornelius, a prospector looking for silver and gold. Yukon finds a cube, 1-inch on all sides, with a mass of 0.185 kilograms. What substance is the cube made from?    

A. Copper (SG = 8.96) B. Lead (SG = 11.36) C. Silver (SG = 10.5) D. Gold (SG = 19.3)

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40.

After he is "reformed" by Yukon, everyone decides to keep the Abominable Snowman around because he can put a silver star on top of Christmas trees without a step-ladder. step-ladder. Assume Santa's tree is 40 feet tall and the star has a mass of 10 kilograms. If Santa wants the job done quickly, in under 1 minute, which of the following motots would need to be used if the Abominable Snowman is not available?    

A. 18 watts, 120% efficient B. 15 watts, 90% efficient C. 25 watts, 80% efficient D. 20 watts, 80% efficient

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41.

In the movie "Santa Claus is Coming Co ming to Town", the Mayor Burgermeister Meisterburger outlaws toys after tripping on a rubber duck. To make rubber ducks un-crushable while being delivered by Santa, the ducks are filled with an inert, harmless gas. A 2.5 gram sample of the gas fills a 5 liter container. If the pressure in the container is 1.2 atmospheres at a temperature of 27 degrees de grees Celsius, what is the molecular weight of the gas in grams per mole?    

A. 10.4 grams / mole B. 1.21 grams / mole C. 5 grams / mole D. 9.25 grams / mole

___________________ _____________________________ ____________________ __________________ ________

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42.

The Grinch takes the sleigh full of presents p resents to the top of Mount Crumpit, a 3,000 foot high mountain north of Whoville. If the sleigh full of presents weighs 500 Newtons, what is the maximum speed the sleigh reaches at the bottom of the mountain when the Grinch decides to return the presents to the Whos? Assume there is no friction.

   

A. 150 miles per hour B. 542 miles per hour C. 300 miles per hour D. 2,138 miles per hour

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43.

The Grinch has a heart that is two sizes too small. If the Grinch's heart pumps 3 liters of blood per minute, what is this rate in unit of cubic inches per second?

   

A. 3.05 in^3 / s B. 3.05 x 10^(-3) in^3 / s C. 0.328 in^3 / s D. 820 in^3 / s

44.

Assume Frosty evaporates at a rate of 45 grams per minute on a bright sunny day. da y. If Frosty weighs 75 pound-mass, how man y hours will it take for half of Frosty to evaporate?

   

A. 4.5 hours B. 12.6 hours C. 22.7 hours D. 6.3 hours

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45.

Snow Miser sings the following song as a wa y of introduction in “The Year without a Santa Claus”. I'm Mister White Christmas, Christmas, I'm Mister Snow I'm Mister Icicle, I'm Mister Mister Ten Below Friends call me Snow Miser, Whatever I touch Turns to snow in my clutch, I'm too much! Assuming the “Ten Below” refers to units of de grees Fahrenheit, what is this temperature in kelvins?

   

A. - 23 kelvin B. 250 kelvin C. 450 kelvin D. - 10 kelvin

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46.

Fluid A fills a one gallon container and weighs 50 newtons. The density of Fluid B is 1125 kilograms per cubic meter and fills a one gallon container. Fluid C fills a two liter container and has a specific gravity of 2. Which container has a higher mass? Assume the weight of the container is negligible. Hint: 1 gal = 3.785 L = 0.003785 cubic meters 

A. The containers are of equal mass



B. The container holding Fluid A



C. The container holding Fluid B



D. The container holding Fluid C



E. The answer cannot be determined from t he information given.

47.

After chasing Rudolph and his friends, the Abominable Snowman falls through the ice to a depth of 50 feet. Assume the Abominable Snowman weighs 300 pounds-force and the density of the cold, salt water is 1027 kilograms per cubic met er. What is the hydrostatic pressure felt by the Abominable Snowman in units of atmospheres at a depth of 50 feet? 1 ft = 0.3048 m 1 lb = 4.448 N 

A. 13.5 atm



B. 5 atm



C. 152,000 atm



D. 1.5 atm

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ENGR1300 - Exam1 Review Solutions

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