Author: Tru Physics

Problem 1.35 Derive equation 1.40 from equation 1.39. Solution: Problem 1.35

Problem 1.34 An ideal diatomic gas, in a cylinder with a movable piston, undergoes the rectangular cyclic process shown in Figure 1.10(b). Assume that the temperature is always such that rotational degrees of freedom are active, but vibrational modes are “frozen out.” Also assume that the only type of work done on the gas is…

Problem 1.33 An ideal gas is made to undergo the cyclic process shown in Figure 1.10(a). For each of the steps A, B, and C, determine whether each of the following is positive, negative, or zero: (a) the work done on the gas; (b) the change in the energy content of the gas; (c) the…

Problem 1.31 Imagine some helium in a cylinder with an initial volume of 1 liter and an initial pressure of 1 atm. Somehow the helium is made to expand to a final volume of 3 liters, in such a way that its pressure rises in direct proportion to its volume. (a) Sketch a graph of…

Problem 1.22 If you poke a hole in a container full of gas, the gas will start leaking out. In this problem you will make a rough estimate of the rate at which gas escapes through a hole. (This process is called effusion, at least when the hole is suciently small.) (a) Consider a small…

Problem 1.18 Calculate the rms speed of a nitrogen molecule at room temperature. Solution: Problem 1.18

Problem 1.17 Even at low density, real gases don’t quite obey the ideal gas law. A systematic way to account for deviations from ideal behavior is the virial expansion,,where the functions , , and so on are called the virial coefficients. When the density of the gas is fairly low, so that the volume per…

Problem 1.15 Estimate the average temperature of the air inside a hot-air balloon (see Figure 1.1). Assume that the total mass of the unfilled balloon and payload is 500 kg. What is the mass of the air inside the balloon? Solution: Problem 1.15

Problem 1.14 Calculate the mass of a mole of dry air, which is a mixture of (78% by volume), (21%), and argon (1%). Solution: Problem 1.14