Q: Which equation represents Bernoulli’s Equation for an ideal fluid?

$$P + \frac{1}{2}\rho v^2$ + \rho gh = \text{constant}$$

Q: What is the number of molecules per cubic meter in an ideal gas at STP? ($$N_A = 6.022 \times 10$$^{23}$$\ \mathrm{mol}^{-1}$$, $$V_m = 22.4\ \mathrm{L} at $$STP)

$$2.69 \times 10$$^{25}$$\ \mathrm{$$molecules/m^3$$}$$

Question 1

Which of the following best describes Pascal’s Principle?

Accepted Answer

A change in pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and to the walls of its container.

Question 2

A block of wood floats in water with 60% of its volume submerged. If the density of water is $$1000\ \mathrm{kg/m^3$}$$, what is the density of the wood?

Accepted Answer

$$600\ \mathrm{kg/m^3$}$$

Question 3

Which equation represents Bernoulli’s Equation for an ideal fluid?

Accepted Answer

$$P + \frac{1}{2}ho v^2$ + ho gh = 	ext{constant}$$

Question 4

A hot-water heating system pumps water at $$0.5\ \mathrm{m/s}$$ through a $$4.0\ \mathrm{cm}$$ diameter pipe in the basement under a pressure of $$3.0\ \mathrm{atm}. $$What happens to the pressure in a $$2.6\ \mathrm{cm}$$ diameter pipe on the second floor $$5.0\ \mathrm{m}$$ above, assuming no branches and steady flow?

Accepted Answer

The pressure decreases due to both the increase in height and the increase in flow speed.

Question 5

Which of the following is the correct formula for the ideal gas law?

Accepted Answer

$$PV = nRT$$

Question 6

Convert a temperature of $$68^\circ\mathrm{F} ($$room temperature) to Celsius.

Accepted Answer

$$20^\circ\mathrm{C}$$

Question 7

A sample of gas at $$2.00 	imes 10^4$\ \mathrm{Pa}$$ and $$0^\circ\mathrm{C}$$ consists of $$90\%$$ carbon dioxide and $$10\%$$ nitrogen by mole. Given $$M_{CO_2$} = 44.01\ \mathrm{g/mol}$$ and $$M_{N_2$} = 28.02\ \mathrm{g/mol}$$, what is the density of this gas mixture?

Accepted Answer

$$7.9\ \mathrm{g/L}$$

Question 8

Which of the following statements about thermal expansion is correct?

Accepted Answer

Most materials expand when heated due to increased atomic vibrations.

Question 9

What is the volume occupied by $$1.00$$ mole of an ideal gas at a pressure of $$4.50 	imes 10^3$\ \mathrm{Pa}$$ and a temperature of $$-30^\circ\mathrm{C} on $$planet Zephyria? ($$R = 8.314\ \mathrm{J/(mol\cdot K)})$$

Accepted Answer

$$5.7\ \mathrm{m^3$}$$

Question 10

Which of the following best describes the difference between evaporation and condensation?

Accepted Answer

Evaporation is the process where molecules escape from the liquid phase to the gas phase, while condensation is the reverse process.

Question 11

A cube of ice at $$-8.5^\circ\mathrm{C} is $$placed in an $$85\ \mathrm{g}$$ aluminum calorimeter with $$310\ \mathrm{g} of $$water at $$20.0^\circ\mathrm{C}. $$The final temperature is $$17.0^\circ\mathrm{C}. $$What is the mass of the ice cube? (Assume $$c_{ice} = 2.09\ \mathrm{J/g\cdot K}$$, $$c_{Al} = 0.900\ \mathrm{J/g\cdot K}$$, $$c_{water} = 4.18\ \mathrm{J/g\cdot K}$$, $$L_f = 334\ \mathrm{J/g})$$

Accepted Answer

$$24\ \mathrm{g}$$

Question 12

Which of the following is the correct expression for the maximum efficiency of a Carnot engine operating between two temperatures $$T_H$$ and $$T_C (in $$Kelvin)?

Accepted Answer

$$e_{max} = 1 - \frac{T_C}{T_H}$$

Question 13

Which of the following is NOT a method of heat transfer?

Accepted Answer

Reflection

Question 14

What is the number of molecules per cubic meter in an ideal gas at STP? ($$N_A = 6.022 	imes 10$$^{23}$$\ \mathrm{mol}^{-1}$$, $$V_m = 22.4\ \mathrm{L} at $$STP)

Accepted Answer

$$2.69 	imes 10$$^{25}$$\ \mathrm{$$molecules/m^3$$}$$

Question 15

Which of the following best describes the process of vaporization?

Accepted Answer

The phase change from liquid to gas at the boiling point.

Question 16

A heat engine operates between $$530^\circ\mathrm{C}$$ and $$345^\circ\mathrm{C}. $$What is its maximum possible efficiency?

Accepted Answer

$$0.282$$

Question 17

Which of the following is the correct definition of specific gravity?

Accepted Answer

The ratio of the density of a substance to the density of water at $$4^\circ\mathrm{C}.$$

Question 18

Which of the following statements about the first law of thermodynamics is correct?

Accepted Answer

The change in internal energy of a system equals the heat added to the system minus the work done by the system.

PHY215 Final Exam Review: Fluids, Thermodynamics, and Heat

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