Problem 6E

Visualizing Concepts

The diagram shows four states of a system, each with different internal energy, E.

(a) Which of the states of the system has the greatest internal energy?

(b) In terms of the ΔE values, write two expressions for the difference in internal energy between State A and State B.

(c) Write an expression for the difference in energy between State C and State D.

(d) Suppose there is another state of the system, State E, and its energy relative to State A is ΔE = ΔE1 + ΔE4. Where would State E be on the diagram? [Section]

Problem 6EVisualizing ConceptsThe diagram shows four states of a system, each with different internal energy, E.(a) Which of the states of the system has the greatest internal energy(b) In terms of the E values, write two expressions for the difference in internal energybetween State A and State B.(c) Write an expression for the difference in energy between State C and State D.(d) Suppose there is another state of the system, State E, and its energy relative to State A isE = E1 + E4. Where would State E be on the diagram [Section]Solution 6EStep-1(a) Here we have to describe which of the states of the system has the greatest internal energy.From the above figure it has been found that the state A represent the ground state whereas stateB represent the excited state. It is known that the energy of excited state is greater than groundstate.Thus state B of the system has the greatest internal energy.\nStep-2(b) In terms of the E values, here we have to write two expressions for the difference in internalenergy between State A and State B.The change in energy or the energy difference between the state A and state B can be written asE ABThe energy expressions can be written as,E AB= E +1E or 2E AB = E +3E 4Step-3(c) Here we have to write an expression for the difference in energy between State C and StateD.The expression for the energy difference between C and D is given below,E CD = E 2 E or4E DC = E +3E 1Step-4(d) Here we have to describe the position of state E on the diagram depending on the given data,suppose there is another state of the system, State E, and its energy relative to State A is E =E1 E 4The energy of state E is found to be E + 1 wher4as the energy of state B is E + E . 1 2Since E > E , state E is above state B on the diagram. 4 2Hence state E would be the highest energy on the diagram.