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Ghella [55]
3 years ago
5

Find relation for pressure at a depth h in a liquid of density d​

Physics
2 answers:
klemol [59]3 years ago
5 0
Can you elaborate more
skad [1K]3 years ago
5 0

Explanation:

Hey there!!

  • Pressure is directly proportional to depth of a liquid as when there is more depth then it exerts more pressure and when there is less depth there is less pressure.
  • Pressure is also directly proportional to density as more the density there more pressure and less the density less the pressure.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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A spherical piece of candy is suspended in flowing water. The candy has a density of 1950 kg/m3 and has a 1.0 cm diameter. The w
miss Akunina [59]

The question is incomplete. The complete question is :

A spherical piece of candy is suspended in flowing water. The candy has a density of 1950 kg/m3 and has a 1.0 cm diameter. The water velocity is 1.0 m/s, the water density is assumed to be 1000.0 kg/m3, and the water viscosity is 1.0x10-3 kg/m/s. The diffusion coefficient of the candy solute in water is 2.0x10-9 m2/s, and the solubility of the candy solute in water is 2.0 kg/m3. Calculate the mass transfer coefficient (m/s) and the dissolution rate (kg/s).

Solution :

From flow over sphere, the mass transfer equation can be written as :

$Sh = 2 + 0.6 Re^{1/2} Sc^{1/3}$

where, Sherood number, $Sh = \frac{K_L d}{D_{eff}}$

            Reynolds number, $Re=\frac{Vd\rho}{\mu}$

            Schmid number, $Sc= \frac{\mu}{\rho D_{eff}}$

So,

$\frac{K_L d}{D_{eff}}=2+0.6 \left( \frac{V d \rho}{\mu} \right)^{1/2} \ \left( \frac{\mu}{\rho D_{eff}} \right)^{1/3}$

Diameter, d = 1 cm = $1 \times 10^{-2}$ m

                 V = 1 m/s

                 $\rho = 1000 \ kg/m^3$

                 $\mu = 10^{-3} \ kg/m/s$

                 $D_{eff} = 2 \times 10^{-9} \ m^2/s$

$\frac{K_L \times 10^{-2}}{2 \times 10^{-9}}=2+0.6 \left( \frac{1 \times 10^{-2} \times 10^3}{10^{-3}} \right)^{1/2} \ \left( \frac{10^{-3}}{10^3 \times 2 \times 10^{-9}} \right)^{1/3}$

$K_L \times 5 \times 10^6=478.22$

$K_L=9.5644 \times 10^{-5}$ m/s

So the mass transfer coefficient is 9.5644 $\times 10^{-5}$ m/s. It is given solubility,

$\Delta C = 2 \ kg/m^3$

$N = Md^2 \times \Delta C \times K_L$

$N= M \times (10^{-2})^2 \times 2 \times 9.5644 \times 10^{-5}$

$N= 6 \times 10^{-8}$ kg/s (dissolution rate)

6 0
3 years ago
A 62kg box is lifted 12 meters off the ground. How much work is done?
Temka [501]

Answer: 7291.2 joules

Explanation:

Work is done when force is applied on an object over a distance.

Thus, Workdone = Force X distance

Since Distance moved by box = 12 metres

mass of box = 62kg

Acceleration due to gravity when box was lifted is represented by g = 9.8m/s^2

Recall that Force = Mass x acceleration due to gravity

i.e Force = 62kg x 9.8m/s^2

= 607.6 Newton

So, Workdone = Force X Distance

Workdone = 607.6 Newton X 12 metres

Workdone = 7291.2 joules

Thus, 7291.2 joules of work was done.

4 0
3 years ago
When the plutonium bomb was tested in New Mexico in 1945, approximately 1 gram of matter was converted into energy. Suppose anot
gayaneshka [121]

Answer:

The value is E =  1.35 *10^{14} \ J

Explanation:

From the question we are told that

    The mass of matter converted to energy on first test is  m  =  1 \  g  = 0.001 \  kg

    The mass of matter converted to energy on second test m_1 =  1.5 \  g = 1.5 *10^{-3} \ kg

    Generally the amount of energy that was released by  the explosion is  mathematically  represented as  

         E =  m * c^2

=>       E =  1.5 *10^{-3}  * [ 3.0 *10^{8}]^2

=>       E =  1.35 *10^{14} \ J

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Nataly_w [17]

The idea that "students ' immune systems have declined due to the use of hand sanitizers " is a hypothesis.

The term hypothesis refers to an intelligent guess or idea often based which is subject to scientific investigation via experiments.

A hypothesis may be right or wrong. We can only prove a hypothesis by subjecting it to a series of rigorous experiments.

Thus Collette's idea is a hypothesis.

Learn more: brainly.com/question/18284466

5 0
3 years ago
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