PRACTICE IT Use the worked example above to help you solve this problem. A steel strut near a ship's furnace is 1.75 m long, with a mass of 1.46 kg and a cross-sectional area of 1.00 x 10-4 m². During operation of the furnace, the strut absorbs thermal energy in a net amount of 2.50 x 10³ J. (a) Find the change in temperature of the strut. 380.52 °C (b) Find the increase in length of the strut. 0.00741 m (c) If the strut is not allowed to expand because it's bolted at each end, find the compressional stress developed in the strut. 8.47e8 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. Pa

A piece of copper is dropped into a beaker of water. (a) If the waters temperature rises, what happens to the temperature of the copper? (b) Under what conditions are the water and copper in thermal equilibrium?

(a) Suppose a meter Stick made of steel and one made of invar (an alloy of iron and nickel) are the same length at 0C. What is their difference in length at 22.0C ? (b) Repeat the calculation for two 30.0mlong surveyor's tapes.

Describe the photo of the tea kettle at the beginning of this section in terms of heat transfer, work done, and internal energy. How is heat being transferred? What is the work done and what is doing it? How does use kettle maintain its internal energy?

You pour coffee into an unlidded cup, intending to drink it 5 minutes later. You can add cream when you pour the cup or right before you drink it. (The cream is at the same temperature either way. Assume that the cream and coffee come into thermal equilibrium with each other very quickly.) Which way will give you hotter coffee? What feature of this question is different from the previous one?

Ideal gases A and B are stored in the left and right chambers of an insulated container, as shown below. The partition is removed and the gases mix. Is any done in this process? If the temperatures of A and B are initially equal, what happens to their common temperature after they are mixed?

Compare the SI units of specific heat and latent heat and explain any differences.

The goal in this problem is to find the growth of an ice layer as a function of time. Call the thickness of the ice layer L. (a) Derive an equation for dL/dt in terms of L , the temperature T above the ice, and the properties of ice (which can leave in symbolic form instead of substituting the numbers). (b) Solve this differential equation assuming that at t=0 , you have L=0 . If you have studied differential equations, you will know a technique for solving equations of this type: manipulate the equation to get dL/dt multiplied by a (very simple) function of L on one side, and integrate both sides with respect to time. Alternatively, you may be able to use your knowledge of the derivatives of various functions to guess the solution, which has a simple dependence on t. (c) Will the water eventually freeze to the bottom of the flask?

A gas follows on an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. Show that a temperature scale under an isochoric process can be established with this gas and is identical to that of an ideal gas.

Suppose a gasfilled incandescent light bulb is manufactured so that the gas inside the bulb is at atmospheric pressure when the bulb has a temperature of 20.0C. (a) Find the gauge pressure inside such a bulb when it is hot, assuming its average temperature is 60.0C (an approximation) and neglecting any change in volume due to thermal expansion or gas leaks. (b) The actual final pressure for the light bulb will be less than calculated in part (a) because the glass bulb will expand. What will the actual final pressure be, taking this into account? Is this a negligible difference?