To determine The final temperature ( T 2 ) obtain in the living room. Explanation Write the energy balance equation for closed system. E i n − E o u t = Δ E s y s t e m (I) Here, energy transfer in to the system is E i n , energy transfer from the system is E o u t and change in internal energy of system is Δ E s y s t e m . Substitute W e , i n for E i n , 0 for E o u t and Δ U for Δ E s y s t e m in Equation (I). W e , i n = Δ U (II) Here, electrical work input is W e , i n and change in internal energy is Δ U . Substitute m c v ( u 2 − u 1 ) for Δ U in Equation (II). W e , i n = m c v ( u 2 − u 1 ) ≅ m c v ( T 2 − T 1 ) (III) Here, mass of system is m , specific heat at constant volume is c v , internal energy at initial state is u 1 , internal energy at final state is u 2 , initial temperature is T 1 and final temperature is T 2 . Calculate the volume ( V ) of room. V = l b h (IV) Here, length is l , breadth is b and height is h . Calculate the mass ( m a i r ) of air inside the room. m = P 1 V R T 1 (V) Here, gas constant is R , initial pressure is P 1 , volume of tank is V and initial temperature is T 1 . Calculate the electrical work done ( W e ) by the fan. W e = W ˙ e Δ t (VI) Here, change in time is Δ t and rate of electrical work done is W ˙ e . Conclusion: Substitute 3 m for l , 4 m for b , and 4 m for h in Equation (IV)

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ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

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Chapter 4.5, Problem 64P

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The final temperature (T2) obtain in the living room.

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Chapter 4.5, Problem 63P

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