A submarine submerges by admitting seawater (S = 1.03) into its ballast tanks. The amount of water admitted is controlled by air
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This question is incomplete, the complete question as well as the missing diagram is uploaded below;
Consider a mixing tank with a volume of 4 m³. Glycerin flows into a mixing tank through pipe A with an average velocity of 6 m/s, and oil flow into the tank through pipe B at 3 m/s. Determine the average density of the mixture that flows out through the pipe at C. Assume uniform mixing of the fluids occurs within the 4 m³ tank.
Take = 880 kg/m³ and
= 1260 kg/m³
Answer:
the average density of the mixture that flows out through the pipe at C is 1167.8 kg/m³
Explanation:
Given that;
Inlet velocity of Glycerin, = 6 m/s
Inlet velocity of oil, = 3 m/s
Density velocity of glycerin, = 1260 kg/m³
Density velocity of glycerin, Take = 880 kg/m³
Volume of tank V = 4 m
from the diagram;
Diameter of glycerin pipe, = 100 mm = 0.1 m
Diameter of oil pipe, = 80 mm = 0.08 m
Diameter of outlet pipe = 120 mm = 0.12 m
Now, Appling the discharge flow equation;
π/4 × ()²
+ π/4 × (
)²
= π/4 × (
)²
we substitute
π/4 × (0.1 )² × 6 + π/4 × (0.08 )² × 3 = π/4 × (0.12)²
0.04712 + 0.0150796 = 0.0113097
0.0621996 = 0.0113097
= 0.0621996 / 0.0113097
= 5.5 m/s
Now we apply the mass flow rate condition
so we substitute
1260 × π/4 × (0.1 )² × 6 + 880 × π/4 × (0.08 )² × 3 = p × π/4 × (0.12)² × 5.5
1260 × 0.04712 + 880 × 0.0150796 = p × 0.06220335
59.3712 + 13.27 = 0.06220335p
72.6412 = 0.06220335p
p = 72.6412 / 0.06220335
p = 1167.8 kg/m³
Therefore, the average density of the mixture that flows out through the pipe at C is 1167.8 kg/m³
Answer:
i). Compression ratio = 3.678
ii). fuel consumption = 0.4947 kg/hr
Explanation:
Given :
Fuel calorific value = 45 MJ/kg
We know, engine efficiency is given by,
where is compression ratio =
=
where is compression volume
is swept volume
Now it is given that swept volume at 30% of compression, 70% of the swept volume remains.
Then,
and at 70% compression, 30% of the swept volume remains
∴
We know,
∴
Therefore, compression ratio is = 3.678
Now efficiency,
, this is the ideal efficiency
Therefore actual efficiency,
Therefore total power required = 1 kW x 3600 J
= 3600 kJ
∴ we know efficiency,
Therefore fuel required =
= 0.4947 kg/hr
Answer:
the work done during this cooling is −28.7 kJ
Explanation:
Given data
mass (m) = 1 kg
r = 287 J/kg-K
pressure ( p) = 50 kPa
temperature (T) = 100°C = ( 100 +273 ) = 373 K
to find out
the work done during this cooling
Solution
we know the first law of thermodynamics
pv = mRT ....................1
here put value of p, m R and T and get volume v(a) when it initial stage in equation 1
50 v(a) = 1 × 0.287 × 373
v(a) = 107.051 / 50
v(a) = 2.1410 m³ .......................2
now we find out volume when temperature is 0°C
so put put value of p, m R and T and get volume v(b) when temperature is cooled in equation 1
50 v(b) = 1 × 0.287 × 273
v(a) = 78.351 / 50
v(a) = 1.5670 m³ .......................3
by equation 2 and 3 we find out work done to integrate the p with respect to v i.e.
work done =
integrate it and we get
work done = p ( v(b) - v(a) ) ................4
put the value p and v(a) and v(b) in equation 4 and we get
work done = p ( v(b) - v(a) )
work done = 50 ( 1.5670 - 2.1410 )
work done = 50 ( 1.5670 - 2.1410 )
work done = 50 (−0.574)
work done = −28.7 kJ
here we can see work done is negative so its mean work done opposite in direction of inside air
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