Question #265121

liquid ammonia at a temperature of 26 celcius available at the expansion valve, undergoes isenthalpic process until its temperature becomes 2 degree celcius. find the percentage of liquid vaporized while lowing through the expansion valve


1
Expert's answer
2021-11-14T17:17:35-0500

Solution;

T1=26°c=299KT_1=26°c=299K

T2=2°c=275KT_2=2°c=275K

For isenthalpic process;

Δh=0\Delta h=0

From the table for ammonia;

Temperature(°c)hf(kJ/kg)hg(kJ/kg)26322.4711483.1312209.2551463.80\def\arraystretch{1.5} \begin{array}{c:c:c} Temperature (°c) & h_f(kJ/kg)& h_g(kJ/kg)\\ \hline 26& 322.471&1483. 131\\ \hdashline 2 & 209.255& 1463.80 \end{array}

Sine the process is isenthalpic;

h1=h2h_1=h_2

hf1+x(hg1hf1)=hf2+x(hg2hf2)h_{f_1}+x(h_{g_1}-h_{f_1})=h_{f_2}+x(h_{g_2}-h_{f_2})

But x1=0x_1=0

322.471+0=209.255+x2(1463.80209.255)322.471+0=209.255+x_2(1463.80-209.255)

x2(1254.545)=113.216x_2(1254.545)=113.216

x2=0.0902x_2=0.0902

Percentage of liquid vapourized;

x2×100=0.0902×100x_2×100=0.0902×100

=9.02%


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