A solid rectangular metal box has an initial length Li = 4.323 cm, width Wi = 2.765 cm, and height Hi = 3.210 cm at a temperature of Ti = 25 oC. The temperature is then raised to Tf = 75 oC.
1. What was the initial volume of the box in cm3?
a. 12.057 b. 21.034 c. 29.598 d. 38.369 e. 41.553
2. After heating, the volume of the box was found to be 38.374 cm3. What was the change in volume of the box in cm3?
a. 0.0039 b. 0.0050 c. 0.0062 d. 0.0067 e. 0.0073
3. What was the change in temperature of the box? (Be careful! Watch the degree sign!)
a. 75 oC b. 50 oC c. 25 oC d. 35 Co e. 50 Co
4. What is the value of the coefficient of volume expansion of the material making up the box?
a. 5.7 x 10 – 7 1/Co b. 8.9 x 10 – 7 1/Co c. 2.6 x 10 – 6 1/Co d. 3.2 x 10 – 6 1/Co e. 4.7 x 10 – 6 1/Co
5. What is the value of the coefficient of linear expansion of the material making up the box?
a. 6.5 x 10 – 7 1/Co b. 8.7 x 10 – 7 1/Co c. 9.1 x 10 – 7 1/Co d. 9.4 x 10 – 7 1/Co e. 9.8 x 10 – 7 1/Co
A closed container contains a gas at a temperature of 32 oC and pressure 2.7 x 10 6 Pa . The volume of the container is 3.1 x 10 – 3 m3. Assume the gas behaves like an ideal gas.
6. What is the temperature of the gas in Kelvin?
a. 105 K b. 273 K c. 305 K d. 420 K 3. 550 K
7. How many moles of gas are in the container?
a. 0.0024 b. 3.3 c. 570 d. 2,900 e. 0.087
8. How many gas molecules are in the container?
a. 2.0 x 10 24 b. 5.6 x 10 22 c. 3.6 x 10 27 d. 7.1 x 10 23 e. 5.5 x 10 23
The container is placed in a 32 oC bath so that its temperature does not change. The volume of the container is then slowly changed to 1.2 x 10–3 m3.
9. What kind of process is this?
a. Isothermal b. Isobaric c. Isovolumetric d. Adiabatic e. All of these.
10. What was the pressure of the gas after its volume changed? Express your answer in terms of the initial pressure, pi.
a. 1.3 pi b. 2.6 pi c. 4.8 pi d. 6.9 pi e. 9.1 pi
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