Two kg of refrigerant R134a, initially at P₁ = 1 MPa, u₁ = 312.70 kJ/kg, is contained within awell-sealed copper tank. A paddle wheel is fitted into the tank to transfer energy to therefrigerant at constant rate of 0.1 kW. The refrigerant loses heat to its surroundings at arate K-t2, in kW, where K is a constant, in kW per minute squared, and t is time, in minutes.After 10 minutes of stirring, the refrigerant is at p2 = 0.6 MPa and u₂ = 231.05 kJ/kg. Nooverall changes in kinetic and potential energy occur. (a) For the refrigerant, determine thework and heat transfer, each in kJ. (b) Determine the value of the constant K appearing inthe given heat transfer relation, in kW/min².

Answered: Two kg of refrigerant R134a, initially…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Two kg of refrigerant R134a, initially at P₁ = 1 MPa, u₁ = 312.70 kJ/kg, is contained within a
well-sealed copper tank. A paddle wheel is fitted into the tank to transfer energy to the
refrigerant at constant rate of 0.1 kW. The refrigerant loses heat to its surroundings at a
rate K-t2, in kW, where K is a constant, in kW per minute squared, and t is time, in minutes.
After 10 minutes of stirring, the refrigerant is at p2 = 0.6 MPa and u₂ = 231.05 kJ/kg. No
overall changes in kinetic and potential energy occur. (a) For the refrigerant, determine the
work and heat transfer, each in kJ. (b) Determine the value of the constant K appearing in
the given heat transfer relation, in kW/min².

Expert Solution

Step 1

$Given data as per question Mass of refrigerant, m = 2 kg P_{1} = 1 MPa, u_{1} = 312.7 kJ / kg \dot{W} = 0.1 kW \dot{Q} = k t^{2}, where, k \to kW / \min^{2} After, t = 10 \min P_{2} = 0.6 MPa, u_{2} = 231.05 kJ / kg and ∆ KE = ∆ PE = 0$

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