1. A string with a mass per length of 2.00 g/m is stretched with a force of 120 N between two points that are 0.400 m apart. The fundamental frequency of the stretched string is in tune with the frequency of the second mode of an organ pipe filled with air and open at both ends. The speed of sound in air at 0C is 331 m/s. What is the length of the organ pipe?

Multiple Choice

a. 95.0 cm

b. 108 cm

c. 125 cm

d. 175 cm

e. 225 cm

2. The specific heat of ice is 2.10 kJ/kg C, the heat of fusion for ice at 0 C is 333.7 kJ/kg, the specific heat of water 4.186 kJ/kg C, the heat of vaporization of water at 100 C is 2,256 kJ/kg, and the specific heat of steam is 2.020 kJ/kg C. What is the final equilibrium temperature when 40.0 grams of ice at 0 C is mixed with 5.00 grams of steam at 120 C?

Multiple Choice

a. 0.90 C

b. 1.07 C

c. 1.21 C

d. 2.65 C

e. 3.01 C

3. A 100 gram glass container contains 200 grams of water and 10 grams of ice all at 0 C. A 200 gram piece of lead at 100 C is added to the water and ice in the container. What is the final temperature of the system? (specific heat of ice = 2,000 J/kg C, specific heat of water = 4,186 J/kg C, heat of fusion of water = 333.7 kJ/kg, specific heat of glass = 837.2 J/kg C, specific heat of lead = 127.7 J/kg C)

Multiple Choice

a. 4.01 C

b. 3.43 C

c. 2.86 C

d. 1.85 C

e. 0 C