Example 20.1 Losing Weight the Hard Way

A student eats a dinner rated at 2000 Calories. He wishes to do an equivalent amount of work in the gymnasium by lifting a 50.0-kg barbell. How many times must he raise the barbell to expend this much energy? Assume he raises the barbell 2.00 m each time he lifts it and he regains no energy when he lowersthe barbell.

Example 20.2 Cooling a Hot Ingot

A 0.0500-kg ingot of metal is heated to 200.0ºC and then dropped into a calorimeter containing 0.400 kg of water initially at 20.0ºC. The final equilibrium temperature of the mixed system is 22.4ºC.Find the specific heat of the metal.

Example 20.3 Fun Time for a Cowboy

A cowboy fires a silver bullet with a muzzle speed of 200 m/s into the pine wallof a saloon. Assume all the internal energy generated by the impact remains with the bullet. What is the temperature change of the bullet?

Example 20.4 Cooling the Steam

What mass of steam initially at 130ºC is needed to warm 200 g of water in a 100-g glass container from 20.0ºC to 50.0ºC?

Example 20.5 An Isothermal Expansion

A 1.0-mol sample of an ideal gas is kept at 0.0°C during an expansion from 3.0 L to 10.0 L.

(A) How much work is done on the gas during the expansion?

(B) How much energy transfer by heat occurs between the gas and its surroundings in this process?

(C) If the gas is returned to the original volume by means of an isobaric process, how much work is done on the gas?

Example 20.6 Boiling Water

Suppose 1.00 g of water vaporizes isobarically at atmospheric pressure (1.013 x 105 Pa). Its volume in the liquid state is Vi = Vliquid = 1.00 cm³, and its volume in the vapor state is Vf = Vvapor = 1671 cm³. Find the work done in the expansion and the change in internal energy of the system. Ignore any mixing of the steam and the surrounding air; imagine that the steam simply pushes the surrounding air out of the way.

Example 20.7 Heating a Solid

A 1.0-kg bar of copper is heated at atmospheric pressure so that its temperature increases from 20°C to 50°C.

(A) What is the work done on the copper bar by the surrounding atmosphere?

(B) How much energy is transferred to the copper bar by heat?

(C) What is the increase in internal energy of the copper bar?

Example 20.8 Energy Transfer Through Two Slabs

Two slabs of thickness L1 and L2 and thermal conductivities k1 and k2 are in thermal contact with each other. The temperatures of their outer surfaces are Tc and Th, respectively, and Th > Tc. Determine the temperature at the interface and the rate of energy transfer by conduction through an area A of the slabs in the steady-state condition.

Example 20.9 The R-Value of a Typical Wall

Calculate the total R-value for a wall constructed as shown in the figure. Starting outside the house (toward the front in the figure) and moving inward,the wall consists of 4 in. of brick, 0.5 in. of sheathing, an air space 3.5 in. thick,and 0.5 in. of drywall.