1.22 A simple mercury manometer con- nected into a flow line gives readings as shown in the figure. Local gravity is standard and the mercury density is 0.488 lb/in.' Find the pressure at points X andY when the flow line and left leg contain (a) air whose density is 0.072 lb/ft'. (b) water whose den-

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Chapter1: Units And Measurement
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Problem 1.7CYU: Check Your Understanding Figure 1.4 says the mass of the atmosphere is 1019kg . Assuming the density...
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degrees on a tem- the giav is g
Chapter 1
5IC Principles, Concepts and Definition
reading on this scale is a certain number of
degrees on a corresponding absolute tem-
perature Scale. What is this absolute tem-
26
Sity is 62 1 lb/it'. (c) Answer (a) and (b)
(c) Answer (a) and (b) jí
Problems
Open
perature at 0°N?
Ans. (a) IN =
91e + 100, (b) 2360°N abs,
A 67
approx.
1.19 A weatherman carried an aneroid
barometer from the ground floor to his
office atop the Sears Tower in Chicaga.
desired ta
al) versus
equatoria
variation
a given r
weight va
height of
1.30
barometer
25"
read 30.150 in. Hg abs; topside it read
28.607 in. Hg abs. Assume that the average
atmcspheric air density was 0.075 lb/ft' and
estimate the height of the building.
On
the ground level, the
readings
and K i:
Problam 1.22
Ans. 1451 ft (approx.).
that will
Ans. (a) 26.90, 26.90, (b) 25.46, 26.90, (c)
illustrated,
mercury
1.20 As
manometer is attached to the side of a nearly 26.10 psia.
full water tank. The reading of the mercury
column is 15.5 in. Hg gage. Although air on
the water maintains the pressure, the other
10-in. leg of the manometer is full of water;
for H¿O, p = for Hg, p
846 lb/ft. If the location is at standard
gravity and the temperature of both the the temperature of the fluid expressed as °R
water and mercury is 60°F, what is the pres-
sure (psia) in the tank at the level where the
manometer is attached? If the tank extends
10 ft below this level, what is the pressure at
this depth?
1.23 Convert (a) 122°F to °C and to K.
(b) -40°C to °F and to °R, (c) 942°R to °C.
1.31
weight
and to K, (d) 373 K to °F and to °R.
1.24 A Fahrenheit and a Celsius ther-
mometer are both immersed in a fluid and
indicate identical numerical readings. What is
back? 1
62.3 lb/ft’;
in dyne
1.32
depenc
State
sapuno
and as K?
1.25 The same as problem 1.24 except
that the Fahrenheit reading is numerically
twice that of the Celsius reading.
that is
Ans. 21.94, 26.27 psia.
Ans. 780°R, 433 K.
1.26 Steam at a pressure of 150 psia and
a temperature of 400°F occupies a volume of
3.223 ft/lb. (a) What is its density in lb/ft
and in slugs/ft? (b) Convert the pressure to
in. Hg and ft water (60°F). (c) Convert the
temperature to °R, K, and °C. Is temperature
an intensive or an extensive property?
Ans. (a) 0.31 lb/ft', 0.00965 slugs/ft'; (b)
306 in. Hg. 346 ft w.; (c) 860°R, 478 K.
15.5
10 in. Hg
Problem 1.20
204.4°C.
1.21 A 51-ft' tank contains 3 lb of a gas
at 80°F and a vacuum pressure of 24 in. Hg.
(a) What is the absolute pressure in psia and
psfa? (b) What is the gas' specific volume
and density? (c) What is its temperature in
°C, °R, and °K?
Ans. (a) 418 psfa, (b) 0.0588 lb/ft', (c)
299.7 K.
1.27 A fluid moves in a steady flow
manner between two sections in a flow line.
At section 1: A, = 1 sq ft, vi = 1000 fpm,
v, = 4 ft'/lb. At section 2: Az = 2 ft', p2 =
0.20 lb/ft. Calculate (a) the flow (Ib/hr) and
(b) the velocity (fps) at section 2.
%3D
%3D
%3D
1.22 A simple mercury manometer con-
nected into a flow line gives readings as
shown in the figure. L.ocal gravity is standard
and the mercury density is 0.488 lb/in.' Find
the pressure at points X and Y when the
flow line and left leg contain (a) air whose
density is 0.072 lb/ft', (b) water whose den-
Ans. (a) 15,000 lb/hr, (b) 10.42 fps.
1.28 A 10-ft diameter by 15-ft height
vertical tank is receiving. water p
62.1 lb/ft') at the rate of 300 gpm and is
discharging through a 6-in. ID line with a
constant velocity of 5 fps. At a given instant.
the tank is half full. Find the water level and
the mass change in the tank 15 min later.
Ans. 3.90 ft. 17,550!5
=
Transcribed Image Text:degrees on a tem- the giav is g Chapter 1 5IC Principles, Concepts and Definition reading on this scale is a certain number of degrees on a corresponding absolute tem- perature Scale. What is this absolute tem- 26 Sity is 62 1 lb/it'. (c) Answer (a) and (b) (c) Answer (a) and (b) jí Problems Open perature at 0°N? Ans. (a) IN = 91e + 100, (b) 2360°N abs, A 67 approx. 1.19 A weatherman carried an aneroid barometer from the ground floor to his office atop the Sears Tower in Chicaga. desired ta al) versus equatoria variation a given r weight va height of 1.30 barometer 25" read 30.150 in. Hg abs; topside it read 28.607 in. Hg abs. Assume that the average atmcspheric air density was 0.075 lb/ft' and estimate the height of the building. On the ground level, the readings and K i: Problam 1.22 Ans. 1451 ft (approx.). that will Ans. (a) 26.90, 26.90, (b) 25.46, 26.90, (c) illustrated, mercury 1.20 As manometer is attached to the side of a nearly 26.10 psia. full water tank. The reading of the mercury column is 15.5 in. Hg gage. Although air on the water maintains the pressure, the other 10-in. leg of the manometer is full of water; for H¿O, p = for Hg, p 846 lb/ft. If the location is at standard gravity and the temperature of both the the temperature of the fluid expressed as °R water and mercury is 60°F, what is the pres- sure (psia) in the tank at the level where the manometer is attached? If the tank extends 10 ft below this level, what is the pressure at this depth? 1.23 Convert (a) 122°F to °C and to K. (b) -40°C to °F and to °R, (c) 942°R to °C. 1.31 weight and to K, (d) 373 K to °F and to °R. 1.24 A Fahrenheit and a Celsius ther- mometer are both immersed in a fluid and indicate identical numerical readings. What is back? 1 62.3 lb/ft’; in dyne 1.32 depenc State sapuno and as K? 1.25 The same as problem 1.24 except that the Fahrenheit reading is numerically twice that of the Celsius reading. that is Ans. 21.94, 26.27 psia. Ans. 780°R, 433 K. 1.26 Steam at a pressure of 150 psia and a temperature of 400°F occupies a volume of 3.223 ft/lb. (a) What is its density in lb/ft and in slugs/ft? (b) Convert the pressure to in. Hg and ft water (60°F). (c) Convert the temperature to °R, K, and °C. Is temperature an intensive or an extensive property? Ans. (a) 0.31 lb/ft', 0.00965 slugs/ft'; (b) 306 in. Hg. 346 ft w.; (c) 860°R, 478 K. 15.5 10 in. Hg Problem 1.20 204.4°C. 1.21 A 51-ft' tank contains 3 lb of a gas at 80°F and a vacuum pressure of 24 in. Hg. (a) What is the absolute pressure in psia and psfa? (b) What is the gas' specific volume and density? (c) What is its temperature in °C, °R, and °K? Ans. (a) 418 psfa, (b) 0.0588 lb/ft', (c) 299.7 K. 1.27 A fluid moves in a steady flow manner between two sections in a flow line. At section 1: A, = 1 sq ft, vi = 1000 fpm, v, = 4 ft'/lb. At section 2: Az = 2 ft', p2 = 0.20 lb/ft. Calculate (a) the flow (Ib/hr) and (b) the velocity (fps) at section 2. %3D %3D %3D 1.22 A simple mercury manometer con- nected into a flow line gives readings as shown in the figure. L.ocal gravity is standard and the mercury density is 0.488 lb/in.' Find the pressure at points X and Y when the flow line and left leg contain (a) air whose density is 0.072 lb/ft', (b) water whose den- Ans. (a) 15,000 lb/hr, (b) 10.42 fps. 1.28 A 10-ft diameter by 15-ft height vertical tank is receiving. water p 62.1 lb/ft') at the rate of 300 gpm and is discharging through a 6-in. ID line with a constant velocity of 5 fps. At a given instant. the tank is half full. Find the water level and the mass change in the tank 15 min later. Ans. 3.90 ft. 17,550!5 =
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