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Problems and Solutions - E-Courses

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Basic Thermodynamics Prof. K.Srinivasan<br />

T2<br />

293<br />

1. If it is a constant pressure process, V2 = × V1<br />

= × A×<br />

2 = 0.<br />

87m<br />

T 673<br />

Since it is less than weight of the stops, the piston rests on stops.<br />

Indian Institute of Science Bangalore<br />

T T<br />

V 1 V2<br />

= V2<br />

T2 = T1<br />

1<br />

p<br />

T<br />

3<br />

3<br />

2<br />

p<br />

=<br />

T<br />

2<br />

2<br />

1<br />

V ×<br />

P2<br />

× T3<br />

3 293<br />

P3 = = 150 × 10 × = 130.<br />

6KPa<br />

T<br />

336.<br />

5<br />

2<br />

1<br />

1 × 673<br />

= = 336 . 5 K<br />

2<br />

3<br />

− 150 × 10 × A × 1×<br />

8314<br />

Therefore W = = −96.<br />

5KJ<br />

/ Kg<br />

3<br />

150 × 10 × A × 2 × 29<br />

10. A cylinder, Acyl = 7.012cm 2 has two pistons mounted, the upper one, mp1=100kg, initially resting<br />

on the stops. The lower piston, mp2=0kg, has 2 kg water below it, with a spring in vacuum connecting<br />

he two pistons. The spring force fore is zero when the lower piston st<strong>and</strong>s at the bottom, <strong>and</strong> when the<br />

lower piston hits the stops the volume is 0.3 m 3 . The water, initially at 50 kPa, V=0.00206 m 3 , is then<br />

heated to saturated vapor.<br />

a. Find the initial temperature <strong>and</strong> the pressure that will lift the upper piston.<br />

b. Find the final T, P, v <strong>and</strong> work done by the water.<br />

Schematic:

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