Tag: Solutions

Problem 1.47 Your 200-g cup of tea is boiling-hot. About how much ice should you add to bring it down to a comfortable sipping temperature of ? (Assume that the ice is initially at . The specific heat capacity of ice is .) Solution: Problem 1.47

Problem 1.46 Measured heat capacities of solids and liquids are almost always at constant pressure, not constant volume. To see why, estimate the pressure needed to keep fixed as increases, as follows. (a) First imagine slightly increasing the temperature of a material at constant pressure. Write the change in volume, , in terms of and…

Problem 1.42 The specific heat capacity of Albertson’s Rotini Tricolore is approximately . Suppose you toss 340 g of this pasta (at ) into 1.5 liters of boiling water. What effect does this have on the temperature of the water (before there is time for the stove to provide more heat)? Solution: Problem 1.42

Problem 1.36 In the course of pumping up a bicycle tire, a liter of air at atmospheric pressure is compressed adiabatically to a pressure of 7 atm. (Air is mostly diatomic nitrogen and oxygen.) (a) What is the final volume of this air after compression?(b) How much work is done in compressing the air?(c) If…

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…