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* Nine numbered balls are dropped randomly into three boxes. The numbers of balls falling into each box are labeled
(a) Identify five of the many possible arrangements or macrostates of the balls. (b) Determine the ratio of the count for the equal distribution
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Chapter 16 Solutions
EBK COLLEGE PHYSICS
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- A fuel-efficient car is able to convert the chemical potential energy of gasoline into translational kinetic energy at an efficiency of 78.4%. If there is 8742 kJ of chemical potential energy in one tank of gas, what is the amount of translational kinetic energy produced. How to manipulate formula eff=output/input x 100arrow_forwardA scientist measured the pressure of a sample of gas at various volumes. The temperature of the gas was kept constant. The data are shown below. Volume (cm) Pressure (kPa) 15 222 21 159 31 108 50 67 Temperature and Pressure What will happen to the pressure if the volume is increased to 75cm. O The pressure will decrease. O The pressure will remain the same. O There is no way to predict the pressure. O The pressure will increase. 22 23 24 25 26 27 28 29 30 31 1. here to searcharrow_forwardLet n be the number of moles, R be the ideal gas constant, T be the absolute temperature, P be the absolute pressure and V be the volume. Which of the following statements is true for ideal gases? A. Tx for constant n, p and V 1 C. T x - for constant n and V R 1 B. Tx - for constant p and V D. Tx V for constant p and narrow_forward
- Consider a pressure versus volume graph, where the different curves represent different processes done on a gas. Starting at the origin to point 1, the pressure and volume are increased to 2913 Pa and 4.25 m³, respectively. From 1 to 2, the gas expands at constant pressure to a volume of 7.25 m³. From 2 to 3, the pressure rises to 4082 Pa. Finally, from 3 to 4, the gas expands again to 10.85 m³. Rank the curves from the most positive to the most negative amount of work done on the gas. Pressure (Pa) 0 1 3 2 Volume (m³) What is the total work done on the gas? 4 Wo-4 = Most positive work Incorrect 29624.325 23 0 → 1 1 → 2 3→ 4 Most negative work Answer Bankarrow_forwarda system has five possible macrostates. The number of microstates for each macrostate is given below: Macrostate A - number of microstates=100 / Macrostate B - number of microstates=200 / Macrostate C - number of microstates=400 / Macrostate D - number of microstates= 800 / Macrostate E - number of microstates=1600 a) what is the probability of a microstate? b)what is the entropy of the system in the units of Kb? c) what is the probability of macrostate E? d)what is the most probable macrostate?arrow_forwardConsider a pressure versus volume graph, where the different curves represent different processes done on a gas. Starting at the origin to point 1, the pressure and volume are increased to 2.500 x 10° Pa and 4.08 m³, respectively. From 1 to 2, the gas expands at constant pressure to a volume of 7.08 m³. 3 From 2 to 3, the pressure rises to 4082 Pa. Finally, from 3 to 4, the gas expands again to 10.51 m³. Rank the curves from the most positive to the most negative amount of work done on the gas. 1 Most positive work 3-4 Volume (m³) 0-1 1-2 2–3 Most negative work Answer Bank Incorrect What is the total work done on the gas? Wo-4 J Incorrect Pressure (Pa)arrow_forward
- A vacuum flask contains a known amount of gas at a given temperature and pressure. If the same amount of gas is placed in another container twice the volume of the vacuum flask, what happens to the resulting free energy of the gas at the same temperature and pressure? A. It remains unchanged B. Decreases C. Increases D. Becomes zeroarrow_forwardA scientist observes the changes in the gas pressure of one mole of a gas sample in a sealed chamber with a fixed volume. What does the scientist need to check to identify the sources of the changes? O air pressure outside the chamber isotopes of the gas temperature of the chamber O molecular formula of the gasarrow_forwardThe ideal gas law is a very simple mathematical relationship that relates several physical properties of a gas. This law is only valid when the behavior of a gas is idealized according to three principal assumptions. (i) State the three assumptions made about an ideal gas, and for each assumption (ii) explain which physical property of a gas would be affected if that assumption was not made.arrow_forward
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