Q: During the isobaric segment $$ab of $$the $$pV$$ diagram, how much heat enters or leaves the gas?

$$Q = 6.00 \times 10^4$ J, heat enters the gas.

Q: For the isochoric segment $$bc in $$the $$pV$$ diagram, what is the change in internal energy $$\Delta U$$?

$$\Delta U = -3.60 \times 10^4$ J, decreased

Q: During the isothermal segment $$ca$$, what is the heat exchanged and does it enter or leave the gas?

$$Q = 1.11 \times 10^4$ J, heat leaves the gas.

Question 1

A beam of light with wavelength 585 nm passes through a single slit of width 0.0666 mm. What is the total number of completely dark fringes (excluding the central maximum) that will appear on a distant screen?

Accepted Answer

226

Question 2

For the single-slit diffraction described above, what is the largest value that $$m ($$the order of the dark fringe) can take?

Accepted Answer

$$m = 113$$

Question 3

Given the slit width $$a = 0.0666 	imes 10$$^{-3}$$ m and wavelength $$\lambda = 585 	imes $$10^{-9} m$$, at what angle $$	heta$$ does the most distant dark fringe occur?

Accepted Answer

$$	heta = 83.0^\circ$$

Question 4

Which equation gives the location of the dark fringes in single-slit diffraction?

Accepted Answer

$$a \sin 	heta = m \lambda$$

Question 5

If the slit width $$a is $$decreased, what happens to the number of dark fringes observed on the screen?

Accepted Answer

The number of dark fringes decreases.

Question 6

In the $$pV$$ diagram for 3.25 moles of ideal helium gas, segment $$ab is $$isobaric, $$bc is $$isochoric, and $$ca is $$isothermal. What is the pressure at point $$a$$?

Accepted Answer

$$8.0 	imes 10^5$ Pa

Question 7

Using the ideal gas law, what is the temperature at point $$b if$$ $$p_b = 8.0 	imes 10^5$ Pa and V_b = 0.040$ m^3$ for 3.25 moles of helium?

Accepted Answer

$$T_b = 1184 K$$

Question 8

During the isobaric segment $$ab of $$the $$pV$$ diagram, how much heat enters or leaves the gas?

Accepted Answer

$$Q = 6.00 	imes 10^4$ J, heat enters the gas.

Question 9

For the isochoric segment $$bc in $$the $$pV$$ diagram, what is the change in internal energy $$\Delta U$$?

Accepted Answer

$$\Delta U = -3.60 	imes 10^4$ J, decreased

Question 10

During the isothermal segment $$ca$$, what is the heat exchanged and does it enter or leave the gas?

Accepted Answer

$$Q = 1.11 	imes 10^4$ J, heat leaves the gas.

Question 11

For a closed path on a $$pV$$ diagram, what is the net change in internal energy $$\Delta U$$?

Accepted Answer

$$\Delta U = 0$$

Question 12

If the temperature at point $$a is 296 K $$and at point $$b is 1184 K$$, what is the temperature at point $$c$$?

Accepted Answer

$$T_c = 296 K$$

Question 13

Which formula is used to calculate the heat added during an isobaric process for an ideal gas?

Accepted Answer

$$Q = nC_p \Delta T$$

Question 14

For a monatomic ideal gas, what is the value of $$C_v$$?

Accepted Answer

$$C_v = \frac{3}{2}R$$

Question 15

In the $$pV$$ diagram problem, which segment involves no change in internal energy?

Accepted Answer

Segment $$ca ($$isothermal)

Question 16

If the volume at point $$a is$$ $$0.010 m$^3$$ and at point $$c is$$ $$0.040 m$^3$$, what is the ratio $$\frac{V_c}{V_a}$$ used in the isothermal heat calculation?

Accepted Answer

$$4$$

Question 17

Which of the following statements is true about the direction of heat flow during the isochoric segment $$bc$$?

Accepted Answer

Heat leaves the gas.

Physics Study Notes: Diffraction, Thermodynamics, and pV Diagrams

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