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Sue decides to create her own temperature scale. She places an uncalibrated mercury thermometer into an ice-water bath and calls the mercury level 20.0°S. She then places the uncalibrated thermometer into boiling water and calls the mercury level 170.0°S. Finally, she divides the distance between these two levels into 150 equal lengths.

Determine the following:

1
The reading on a Celsius thermometer when Sue's thermometer reads 95.0°S.
2
The reading on Sue's thermometer when a Fahrenheit thermometer reads 80.0°F.
3
The Kelvin temperature when Sue's thermometer reads 125°S.

A steel cable 4.00 m long is stretched tightly across a driveway on a day when the temperature is 30.0°C. The coefficient of linear expansion for steel is 1.20 × 10-5/K and Young's Modulus for steel is 2.00 × 1011 N/m2. Determine the following on a day when the temperature is -10.0°C.

4
Change in length of the steel cable
5
The additional strain on the wire
6
The additional stress on the wire

At room temperature (25.0°C), a brass sphere 3.0000 cm in diameter is 5.0000 × 10-4 cm larger than the inside diameter of a steel ring.

7
Determine the single temperature of both sphere and ring at which the sphere just slips through the ring.

A 150-cm3 glass test tube is filled to the brim with water at 0°C.

8
Determine the amount of water that will overflow if the test tube and contents are heated to 100°C.

An ideal gas is pumped into a 1.00 × 10-2 m3 container at 27.0°C until the gauge pressure reads 8.99 × 105 Pa. Determine the following:

9
Absolute pressure of the gas
10
Number of moles of the gas in the container
11
Pressure of the gas if the temperature is doubled
12
Pressure of the gas if the temperature is doubled and the volume of the container is reduced by a factor of three.

The following is known about a quantity of an ideal gas.

V1 = 1.00 × 10-2 m3 T1 = 27.0°C P1 = 2.00 × 105 Pa ρ = 1.28 kg/m3

Determine the following:

13
Volume of the gas if the temperature changes to T2 = 227°C and the pressure remains constant
14
Volume of the gas if the pressure changes to P2 = 5.00 × 105 Pa and the temperature remains constant
15
Pressure of the gas if the temperature changes to T2 = 227°C and the volume remains constant
16
Temperature of the gas in °C if the pressure changes to P2 = 3.00 × 105 Pa and the volume changes to V2 = 1.50 × 10-2 m3
17
Number of moles of the gas
18
Number of molecules of the gas
19
Mass of the gas
20
Mass of one molecule
21
Molar mass of the gas

Six moles of Helium gas are placed in a 2.00 × 10-3 m3 container at a temperature of 27.0°C.

Determine the following:

22
Mass of one Helium molecule
23
Number of molecules of Helium in the container
24
Total mass of the gas
25
Root-mean-square speed of the molecules
26
Average kinetic energy per molecule
27
Average kinetic energy of the gas
28
Pressure of the gas





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