(a) Explanation Write the expression for temperature T 1 at point 1. ln ( p sat , 1 ) = A − B T 1 A = ln ( p sat , 1 ) + B T 1 (I) Here, saturation pressure at point 1 is p sat , 1 , the temperature at point 1 is T 1 , saturation pressure at point 1 is p sat , 1 and constants are A and B . Write the expression for temperature T 2 at point 2. ln ( p sat , 2 ) = A − B T 2 (II) Here, saturation pressure at point 2 is p sat , 2 . Write the expression for temperature T 3 at point 3. ln ( p sat , 3 ) = A − B T 3 (III) Here, saturation pressure at point 3 is p sat , 3 . Substitute ln ( p sat , 1 ) + B T 1 for A in Equation (II). ln ( p sat , 2 ) = ln ( p sat, 1 ) + ( B T 1 − B T 2 ) ln ( p sat , 2 ) − ln ( p sat, 1 ) = ( B T 1 − B T 2 ) ln ( p sat , 2 ) ( p sat, 1 ) = B ( 1 T 1 − 1 T 2 ) (IV) Substitute ln ( p sat, 1 ) + B T 1 for A in Equation (III). ln ( p sat, 3 ) = ln ( p sat, 1 ) + ( B T 1 − B T 3 ) ln ( p sat , 3 ) − ln ( p sat, 1 ) = ( B T 1 − B T 3 ) ln ( p sat, 3 ) ( p sat, 1 ) = B ( 1 T 1 − 1 T 3 ) (V) Divide Equation (IV) with Equation (V). ( ln ( p sat , 2 ) ( p sat, 1 ) ) ( ln ( p sat , 3 ) ( p sat, 1 ) ) = B ( 1 T 1 − 1 T 2 ) B ( 1 T 1 − 1 T 3 ) = ( T 2 − T 1 T 2 T 1 ) ( T 3 − T 1 T 3 T 1 ) = ( T 2 − T 1 T 2 T 1 ) ( T 3 T 1 T 3 − T 1 ) = T 3 T 2 ( T 2 − T 1 T 3 − T 1 ) (VI) Assume T 2 T 3 × ( T 3 − T 1 T 2 − T 1 ) as τ . τ = T 2 T 3 × ( T 3 − T 1 T 2 − T 1 ) (VII) Substitute 1 τ for T 3 T 2 × ( T 2 − T 1 T 3 − T 1 ) in the Equation (VI) (b) To determine The saturation temperature at 0.006 MPa . Comparison of the saturation temperature with value in table.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832318

Author: MORAN

Publisher: WILEY

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Chapter 11.9, Problem 43P

(a)

To determine

The saturation pressure at 30°C.

Comparison of the saturation pressure with value in table.

(b)

To determine

The saturation temperature at 0.006 MPa.

Comparison of the saturation temperature with value in table.

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Chapter 11.9, Problem 42P

Chapter 11.9, Problem 44P

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The saturation pressure at 30 ° C . Comparison of the saturation pressure with value in table.