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balu736 [363]
3 years ago
14

A 1.8-m3 rigid tank contains water steam at 220oC. One-third of the volume is in the liquid phase and the rest is in the vapor f

orm. Determine (a) the pressure of the steam, (b) the quality of the saturated mixture, and (c) the density of the mixture.
Engineering
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

a) 2319.6 kPa

b) 0.027

c) 287.86 kg/m^3

Explanation:

The pressure is determined from table  in the appendix for the given temperature:  

 P_220=2319.6 kPa

to calculate the quality we need to determine the masses of the vapor and the liquid and for that we need the respective specific volumes which can also be found in table.  

m_liq  = V_liq/α_liq

           = 504.2 kg

m_vap = V_vap/α_vap

            = 13.94 kg

        q = m_vap/m_liq

          = 0.027

Finally, the density is simply calculated as follows:  

        p = m_tot/V_tot

           = 518.14 kg/1.8 m^3

           = 287.86 kg/m^3

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Step 1:
Start by setting it up with the divisor 8 on the left side and the dividend 27 on the right side like this:

8 ⟌ 2 7

Step 2:
The divisor (8) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0
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Step 3:
Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.

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Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

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Step 5:
Move down the 2nd digit of the dividend (7) like this:

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Step 6:
The divisor (8) goes into the bottom number (27), 3 time(s). Therefore, put 3 on top:

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Step 7:
Multiply the divisor by the result in the previous step (8 x 3 = 24) and write that answer at the bottom:

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Step 8:
Subtract the result in the previous step from the number written above it. (27 - 24 = 3) and write the answer at the bottom.

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You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 27 divided by 8 calculated using Long Division is:

3
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