Physics 104

19 May 1977

Attention: in this problem and the next one, some of the given information is not needed to arrive at the correct answer. You should be able to see which information is pertinent.

#1. One gram-mole of an **ideal** monatomic gas at pressure **p _{0}**,
volume

#2. In problem **#1** , if the expansion of the gas is done **reversibly**,
the change in the entropy of the **gas plus the environment** is equal to

**Answer:**

#3. An ideal gas undergoes an **adiabatic** process a
** ®** b which is shown in the
sketch. If the temperature at **a** is **T _{0}**, the
temperature at

#4. The following mixture is put into a thermally insulated container

M gramsof water atT_{1}= 30^{o}Cm gramsof ice atT_{2}= 0^{o}C

Let

L = heat of fusion of water (per unit gram)c = specific heat of water (per unit gram)

Suppose that the final equilibrium temperature of the mixture is at temperature **T3
> 0 ^{o}C**.
Then the change in the

#5. A gas consists of a mixture of hydrogen molecules (**mass 2.0 amu)**
and helium atoms (**mass 4.0 amu**). If the helium atoms have a
root-mean-square speed of **6800 meters/sec**, then the **root-mean-square
speed** of the hydrogen molecules is most nearly equal to

**Answer:**

#6. **One gram-mole** of an ideal monatomic gas at temperature **T _{0}**
is caused to undergo the cycle shown in the sketch. The work done by the
gas from

#7. In problem

#8. One gram-mole of an ideal gas undergoes the cycle shown in the sketch.

#9. The linear coefficients of thermal expansion for steel and aluminum are, respectively,

A steel rod has a diameter of11 ´ 10for steel^{-6 }/^{0}C23 ´ 10for aluminum^{-6 }/^{0}C

#10. A standing sound wave is set up in a tube closed at one end as shown in the sketch. If the speed of sound in air is

#11. A wave traveling in a medium is described by the equation

#12. For the same wave as in problem

where

#13.Water (

14. A pipe of inner diameter

#15. A metal ball has a volume

#16. The law that gives the gravitational force of any particle in the universe on any other particle in the universe,

#17. On a given, spherically symmetric planet, the acceleration of free fall at the surface is

#18. A simple pendulum of length

**Answer:**

#19. A mass at the end of a vertical spring oscillates up and down in accordance with the equation

**x = ( 0.01 meter ) sin ( t / 5 sec)**

If the total mechanical energy of the oscillating mass is **10 ^{-6}
joules**, then its mass (

#20. A uniform beam of mass

#21. A uniform disk is rolling along the ground with a constant speed

#22. The velocity of a particle of mass

#23. Dick and Jane, a typical suburban couple, are in outer space (in space suits) at opposite ends of a light, strong cord of length

#24. A 3.0 kg toy train is moving with a constant speed of 0.50 meter/sec on a circular track of radius 2.0 meters as long as the power is on. The resultant force on the grain is most nearly equal to

#25. This problem involves the same toy train as problem