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THERMO REV QUIZ

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  SAMPLE KNEC QUIZ AND SOLUTION FOR THERMODYNAMICS  In a steam engine the steam at the beginning of the expansion process is at 7 bar, dryness fraction 0.98 and expansion follows the law   � � 1.1 p v 1 . 1  = constant, down to a pressure of 0.34 bar.  Calculate per kg of steam : (i) The work done during expansion ; (ii) The heat flow to or from the cylinder walls during the expansion SOLUTION Initial pressure of steam,     � 1 = 7 p 1 ​ = 7  bar  = 7 × 1 0 5 � / � 2 = 7 × 1 0 5 N / m 2   Dryness fraction,       � 1 = 0.98 x 1 ​ = 0 . 9 8   Law of expansion,     � � 1.1 p v 1 . 1  = constant   Final pressure of steam,      � 2 = 0.34 p 2 ​ = 0 . 3 4   bar =  0.34 × 1 0 5 � / � 2 0 . 3 4 × 1 0 5 N / m 2 .   At 7 bar :      � � = 0.273 � 3 / � � v g ​ = 0 . 2 7 3 m 3 / k g   ∴ ∴       � 1 = � 1 � � = 0.98 × 0.273 = 0.267 � 3 / � � v 1 ​ = x 1 ​ v g ​ = 0 . 9 8 × 0 . 2 7 3 = 0 . 2 6 7 m 3 / k g   Also,     � 1 � 1 � = � 2 � 2 � p 1 ​ v 1 n ​ = p 2 ​ v 2 n ​   i.e.,      � 2 � 1 = ( � 1 �