The change in entropy when a
Answer to Problem 30P
The change in entropy when a
Explanation of Solution
Given Info: The mass of the ice cube is
Formula to find change in entropy to transform ice at
Here,
Substitute
Thus, the change in the entropy to transform ice at
Formula to find the change in entropy to transform ice at
Here,
Substitute
Thus, the change in the entropy to transform ice at
Formula to find change in entropy to transform water at
Here,
Substitute
Thus, the change in the entropy to transform water at
Formula of find change in entropy to transform water at
Here,
Substitute
Thus, the change in the entropy to transform water at
Formula to find change in entropy to transform steam at
Here,
Substitute
Thus, the change in the entropy to transform steam at
Formula to find the total change in entropy to transform ice at
Substitute
Thus, the total change in the entropy is
Conclusion:
Therefore, the total change in the entropy is
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Chapter 18 Solutions
Principles of Physics: A Calculus-Based Text
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- In a cylinder, a sample of an ideal gas with number of moles n undergoes an adiabatic process. (a) Starting with the expression W=PdV and using the condition PV = constant, show that the work done on the gas is W=(11)(PfVfPiVi) (b) Starting with the first law of thermodynamics, show that the work done on the gas is equal to nCV(Tf Ti). (c) Are these two results consistent with each other? Explain.arrow_forwardA 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.arrow_forwardA gas in a cylindrical closed container is adiabatically and quasi-statically expanded from a state A (3 MPa, 2 L) to a state B with volume of 6 L along the path 1.8pV= constant. (a) Plot the path in the pV plane. (b) Find the amount of work done by the gas and the change in the internal energy of the gas during the process.arrow_forward
- The arrow OA in the PV diagram shown in Figure OQ22.11 represents a reversible adiabatic expansion of an ideal gas. The same sample of gas, starting from the same state O. now undergoes an adiabatic free expansion to the same final volume. What point on the diagram could represent the final state of the gas? (a) the same point A as for the reversible expansion (b) point B (c) point C (d) any of those choices (e) none of those choicesarrow_forwardWhich of the following is true for the entropy change of a system that undergoes a reversible, adiabatic process? (a) S 0 (b) S = 0 (c) S 0arrow_forwardA gun is a heat engine. In particular, it is an internal combustion piston engine that does not operate in a cycle, but comes apart during its adiabatic expansion process. A certain gun consists of 1.80 kg of iron. It fires one 2.40 g bullet at 320 m/s Kith an energy efficiency of 1.10%. Assume the body of the gun absorbs all the energy exhaust and increases uniformly in temperature for a short time before it loses any energy by heat into the environment. Find its temperature increase.arrow_forward
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