the flow energy of 124 L/min of a fluid passing a boundary to a system is 108.5 kJ/min. Determine the pressure at this point

Respuesta :

Answer:

The pressure at this point is 0.875 mPa

Explanation:

Given that,

Flow energy = 124 L/min

Boundary to system P= 108.5 kJ/min

[tex]P=1.81\ kW[/tex]

We need to calculate the pressure at this point

Using formula of pressure

[tex]P=F\times v[/tex]

[tex]P=A_{1}P_{1}\times v_{1}[/tex]

Here, [tex]A_{1}v_{1}=Q_{1}[/tex]

Where, v = velocity

Put the value into the formula

[tex]1.81 =P_{1}\times0.124\times\dfrac{1}{60}[/tex]

[tex]P_{1}=\dfrac{1.81\times60}{0.124}[/tex]

[tex]P_{1}=875.80\ kPa[/tex]

[tex]P_{1}=0.875\ mPa[/tex]

Hence, The pressure at this point is 0.875 mPa

The pressure at this point when energy of 124 L/min of a fluid pass through a boundary of a  system of 108.5 kJ/min is [tex]875Kpa.[/tex]

What is pressure?

Pressure  can be regarded as a force which can be applied perpendicular to the surface of an object.

We can determine the pressure using the formula;

[tex]P=Fv[/tex]

Where P= pressure

F= pressure at a point

V= velocity.

We were given Boundary to system [tex]P= 108.5 kJ/min,[/tex] which can be converted to KW as; [tex]1.81KW[/tex]

We were given Energy as [tex]124L/min= (124/60*1000)= 0.00207[/tex]

Then we can substitute into the given formula as;

[tex]1.81=F * 0.00207[/tex]

[tex]F= \frac{1.81}{0.00207}[/tex]= 875Kpa

Therefore, pressure at this point is[tex]875Kpa.[/tex]

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