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coldgirl [10]
3 years ago
9

Consider a nickel wall separating hydrogen gas that is maintained on one side at 5 atm and on the opposite at 3 atm. If the temp

erature is constant at 85°C, determine (a) the mass densities of hydrogen gas in the nickel wall on both sides and (b) the mass densities of hydrogen outside the nickel wall on both sides.

Engineering
1 answer:
STALIN [3.7K]3 years ago
3 0

Answer:

attached below

Explanation:

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Helium is used as the working fluid in a Brayton cycle with regeneration. The pressure ratio of the cycle is 8, the compressor i
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Explanation:

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T_2=300 \times 8^{\frac{1.667-1}{1.667} }\\=689.3k

Find the work done by the compressor

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Find the actual workdone by the compressor

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T_4=\frac{1800}{8^{\frac{1.667-1}{1.667} }} \\\\=787.3k

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Find the temperature of the regeneration

\epsilon = \frac{T_5-T_2}{T_4-T_2} \\\\0.75=\frac{T_5-689.3}{783.3-689.3} \\\\T_5=759.8k

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n_t_h=\frac{W_t-W_c}{Q_i_n} \\\\=\frac{5276.6-2020.4}{5388.2} \\\\n_t_h=60.4

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Find the mass flow rate

m=\frac{W_net}{P} \\\\\frac{60 \times 10^3}{5276.6-2020.4} \\\\=18.42

Find the actual workdone by the compressor

\frac{W_c}{m} =\frac{(\frac{W}{m} )}{n_c} \\\\=\frac{2020.4}{0.8} \\\\=2525.5kg

Find the actual workdone by the turbine

\frac{W_t}{m} =n_t(\frac{W}{m} )\\\\=0.8 \times5.19(1800-783.3)\\\\=4221.2kJ/kg

Find the temperature of the compressor exit

\frac{W_t}{m} =c_p(T_2_a-T_1)\\2525.5=5.18(T_2_a-300)\\T_2_a=787.5k

Find the temperature at the turbine exit

4221.2=5.18(1800-T_4_a)\\\\T_4_a=985k

Find the temperature of regeneration

\epsilon =\frac{T_5-T_2}{T_4-T_2}\\\\0.75=\frac{T_5-787.5}{985-787.5}\\\\T_5=935.5k

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