Exam 17: Temperature, Thermal Expansion, and the Ideal Gas Law

The coefficient of linear expansion of aluminum is 24 × 10^-6K^-1 and the coefficient of volume expansion of olive oil is 0.68 × 10^-3K^-1. A novice cook, in preparation for deep-frying some potatoes fills a 1.00-liter aluminum pot to the brim and heats the oil and the pot from an initial temperature of 15°C to 190°C. To his consternation some olive oil spills over the top. How much?

A bimetallic strip is made out of two strips of metal bonded together. Each strip is 20.0 cm long and 1.00 mm thick. One strip has a coefficient of thermal expansion 4.00 × 10^-6/K and the other has a coefficient of thermal expansion 3.00 × 10^-6/K. At 20.0°C the strip is straight. What is the inner radius of curvature of the composite strip at 200°C?

A car starts out when the air temperature is 288 K. The air pressure in the tires is 460 kPa. After driving a while, the temperature of the air in the tires increases to 298 K. What is the pressure in the tires at that point, assuming the volume remains constant?

Convert 14 K to °F.

The triple point of water occurs only at a unique temperature and pressure.

What is the temperature of 3.00 moles of an ideal gas at a pressure of 250 kPa held in a volume of 25.0 L?

When both the pressure and the absolute temperature of an ideal gas are increased each by a factor of two, the volume occupied by the gas will

Carbon dioxide solidifies at 195 K. Express this temperature in degrees Fahrenheit.

The surface water temperature on a large, deep lake is 3°C. A sensitive temperature probe is lowered several meters into the lake. What temperature will the probe record?

When a bimetallic strip is cooled, the strip will bend toward the side

Suppose that a steel bridge, 1000 m long, were built without any expansion joints. Suppose that only one end of the bridge was held fixed. What would the difference in the length of the bridge be between winter and summer, taking a typical winter temperature as 0°C, and a typical summer temperature as 40°C? The coefficient of thermal expansion of steel is 10.5 × 10^-6K^-1.

Describe the two step process used to calculate thermal stress in a beam with ends which are rigidly fixed.

Two liters of a perfect gas are at 0°C and 1 atm. The gas is nitrogen, N_2. (a) Determine the number of moles. (b) Determine the number of molecules. (c) Determine the mass of the gas.

On a cold day, when the air temperature is 0°C, you empty your lungs and take a deep breath, filling your lungs with 4.2 L of air. If you hold your breath until the temperature of the air in your lungs reaches 37°C, what is the volume of the air in your lungs at that point, assuming the pressure does not change?

Two systems are in thermal equilibrium. The two systems are at the same

State Boyle's law.

The temperature changes from 35°F during the night to 75°F during the day. What is the temperature change on the Celsius scale?

FIGURE 17-2 -A bolt hole in a brass plate has a diameter of 1.200 cm at 20°C. What is the diameter of the hole when the plate is heated to 220°C? (The coefficient of linear thermal expansion for brass is 19 × 10^-6 /C°.)

Internal human body temperature is often stated to be normal at 98.6°F. What is this temperature on the Celsius scale?

A metal cylindrical sleeve has an inner radius A and an outer radius B. The metal has a positive thermal expansion coefficient. When the sleeve's temperature increases