1) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule A has all three units of energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
2) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule C has all three units of energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
3) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule C has no energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
4) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule B has exactly two units of energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
5) Consider a system that has two indistinguishable molecules that can occupy three different energy levels (energies of 1 kJ, 2 kJ and 3 kJ, respectively). What is the probability that the molecules will have a total energy of 3 kJ?
(a) 1/6
(b) 2/6
(c) 3/6
(d) 4/6
(e) 5/6
(f) 6/6
6) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule C has some energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
7) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule C has exactly one unit of energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
8) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule A has some energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
9) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule A has exactly one unit of energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
10) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that any two of the molecules have no energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
11) Consider a system that has two indistinguishable molecules that can occupy three different energy levels (energies of 1 kJ, 2 kJ and 3 kJ, respectively). What is the probability that the molecules will have a total energy of 2 kJ?
(a) 1/6
(b) 2/6
(c) 3/6
(d) 4/6
(e) 5/6
(f) 6/6
12) Consider a system that has two indistinguishable molecules that can occupy three different energy levels (energies of 1 kJ, 2 kJ and 3 kJ, respectively). What is the probability that the molecules will have a total energy of 4 kJ?
(a) 1/6
(b) 2/6
(c) 3/6
(d) 4/6
(e) 5/6
(f) 6/6
13) Consider a system that has two indistinguishable molecules that can occupy three different energy levels (energies of 1 kJ, 2 kJ and 3 kJ, respectively). What is the probability that the molecules will have a total energy of 5 kJ?
(a) 1/6
(b) 2/6
(c) 3/6
(d) 4/6
(e) 5/6
(f) 6/6
14) Consider a system that has two indistinguishable molecules that can occupy three different energy levels (energies of 1 kJ, 2 kJ and 3 kJ, respectively). What is the most likely total energy of the system?
(a) 1 kJ
(b) 2 kJ
(c) 3 kJ
(d) 4 kJ
(e) 5 kJ
(f) 6 kJ
15) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that any one molecule has all of the energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10
16) Consider a system of three molecules A, B, and C. Suppose that three units of energy can be distributed over the three molecules. Each molecule can have no energy, one unit of energy, two units of energy, or all three units of energy. Assume that each of the ten possible arrangements of the three units of energy is equally probable. What is the probability that molecule B has no energy?
(a) 1/10
(b) 2/10
(c) 3/10
(d) 4/10
(e) 5/10
(f) 6/10