Q: Refer to the first image (PV diagram from A to B). Calculate the work done by the gas as it moves from A ($$P=6$$ atm, $$V=2 m$^3) to B$$ ($$P=2$$ atm, $$V=8 m$^3$$). ($$1 \mathrm{atm} = 1.01 \times 10^5$ \mathrm{N/m}^2)$$

$$2.42 \times 10^6$ \mathrm{J}$$

Question 1

A temperature difference of 5 K is equal to which of the following differences on the Fahrenheit scale?

Accepted Answer

$$9 \, ^\circ \mathrm{F}$$

Question 2

A steel building is 650 m high at $$0^\circF. If $$the temperature rises to $$100^\circF$$, how much taller (in cm) does the building become? (Linear expansion coefficient of steel $$\alpha = 11 	imes 10$$^{-6}$$ \, ^\circ \mathrm{C}^{-1})$$

Accepted Answer

$$40 \, \mathrm{cm}$$

Question 3

An auditorium has dimensions $$10 	imes 10 	imes 60 m. $$How many moles of air fill this volume at 1 atm and $$0^\circC$$? ($$1 \mathrm{atm} = 1.01 	imes 10^5$ \mathrm{N/m}^2)$$

Accepted Answer

$$2.7 	imes 10^5$

Question 4

A 100 kg marble slab falls 200 m and stops suddenly. If all the energy is converted to heat in the slab, what is the temperature change? (Specific heat $$c = 0.88 \mathrm{J/g\cdot ^\circ C})$$

Accepted Answer

$$2.28 \, ^\circ \mathrm{C}$$

Question 5

The internal energy of $$n$$ moles of an ideal gas depends on:

Accepted Answer

One state variable $$T$$

Question 6

Gas in a container expands at a constant pressure of 3 atm from 5 liters to 10 liters. What is the work done by the gas (in J)? ($$1 \mathrm{atm} = 1.01 	imes 10^5$ \mathrm{N/m}^2)$$

Accepted Answer

$$1,500 \, \mathrm{J}$$

Question 7

Equal masses of hydrogen and helium gas are at the same temperature in vessels of equal volume. The atomic mass of helium is four times that of hydrogen. What is the ratio of the pressure of helium (He) to that of hydrogen (H$$_2$$)?

Accepted Answer

$$\frac{1}{4}$$

Question 8

The molar specific heat at constant pressure at $$0^\circC of an $$ideal monatomic gas is:

Accepted Answer

$$\frac{5}{2}R$$

Question 9

Refer to the first image (PV diagram from A to B). Calculate the work done by the gas as it moves from A ($$P=6$$ atm, $$V=2 m$^3) to B$$ ($$P=2$$ atm, $$V=8 m$^3$$). ($$1 \mathrm{atm} = 1.01 	imes 10^5$ \mathrm{N/m}^2)$$

Accepted Answer

$$2.42 	imes 10^6$ \mathrm{J}$$

Question 10

A refrigerator has a coefficient of performance of 4. If it absorbs 30 cal of heat from the cold reservoir in each cycle, how much heat (in cal) is expelled into the heat reservoir?

Accepted Answer

$$37.5$$

Question 11

An ideal gas is allowed to expand adiabatically in a reversible process. What is the change in entropy?

Accepted Answer

$$0$$

Question 12

A heat engine absorbs $$2,500 J of $$heat from a hot reservoir and expels $$1,000 J to a $$cold reservoir. When run in reverse, it pumps $$2,500 J of $$heat to the hot reservoir, requiring $$1,500 J of $$work. What is the ratio of the work done by the heat engine to the work done by the pump? Is the heat engine reversible?

Accepted Answer

$$1.0 ($$yes)

Question 13

Two identical small charged spheres are a certain distance apart, each experiencing an electrostatic force $$F. If $$each sphere loses half its charge, what is the new force?

Accepted Answer

$$\frac{1}{4}F$$

Question 14

Refer to the fifth image (parallel plates with $$E=12,000 N/C$$, $$d=40 mm). An $$electron is projected from plate A toward plate B with initial velocity $$v_0 = 2.0$$ 	imes $$10^7 m/s. $$What is the velocity of the electron as it strikes plate B? ($$e = 1.60 	imes 10$$^{-19}$$ C, m_e = 9.11$$ 	imes $$10^{-31} kg)$$

Accepted Answer

$$1.5 	imes 10^7$ m/s

Question 15

Refer to the sixth image (three charges at the corners of a rectangle, point P). If $$Q = 16 nC$$, $$a = 3.0 m$$, $$b = 4.0 m$$, what is the magnitude of the electric field at point P?

Accepted Answer

$$24 N/C$$

Question 16

Refer to the seventh image (electric field lines between two charges). From the diagram, what are the signs of $$q_1$$ and $$q_2$$?

Accepted Answer

$$q_1$$: positive, $$q_2$$: positive

Question 17

A uniformly charged rod of length $$2.0 m $$and charge per unit length $$3.0 nC/m is $$bent to form a semicircle. What is the magnitude of the electric field at the center?

Accepted Answer

$$85 N/C$$

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