Repeat Prob. 3–129 by taking the thermal expansion of water into consideration as it is heated from 20°C to the boiling temperature of 100°C.
A teapot with a brewer at the top is shown in the picture below .The brewer partially block the vapor from escaping cause the pressure in the teapot to rise will lead to overflow.The maximum pressure that rise in the teapot will will not cause overflow is 0.032 kPa.
Step 1 </p>
The density of water at 200 C ,ρw= 998 kg/m3
The density of water at 1000 C ,ρw= 957.9 kg/m3
The distance from the bottom of the teapot to the end of the service tube is
h1 =4 + 12 Cos400
h1 =4+ 12 (0.7660)
h1= 13.19 cm
h1 13.2 cm
The maximum pressure in the teapot which will not cause overflow is
P1 = ρw g
is the change water level
=0.033 m =3.3 cm
Textbook: Fluid Mechanics
Author: Yunus A. Cengel, John M. Cimbala
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