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Concept explainers
The amount of ice that needs to be added in an insulated cylinder.
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Explanation of Solution
Given:
The volume of the saturated mixture
The quality of the mixture is
The initial temperature of the mixture
The heat of fusion is
Calculation:
From the Table A-3 “Properties of common liquids, solids and foods”, obtain the value of specific heat of ice at 0 C and 120 C temperature as
From the Table A-4 “Saturated water”, obtain the value of specific volume and enthalpy of saturated liquid, vapour and change upon vaporization for insulated cylinder device.
At final temperature of water as
The specific volume of ice for insulated cylinder device
The specific volume of ice for insulated cylinder device
The specific enthalpy of ice
The specific enthalpy of the mixture
Write the expression of initial specific volume of a two-phase system for insulated cylinder device.
Write the expression of initial specific enthalpy of a two-phase system for insulated cylinder device.
Here the value final specific enthalpy is equal to specific enthalpy of saturated liquid as
Determine the initial specific volume of the refrigerant.
Write the expression for the energy balance equation.
Here, the total energy entering the system is
Simplify Equation (I) and write energy balance relation of an insulated cylinder.
Here, the boundary work to be done into the system is
Substitute
Here, the mass of the ice is
Substitute
Thus, the amount of ice that needs to be added in an insulated cylinder is
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Chapter 5 Solutions
Fundamentals of Thermal-Fluid Sciences
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