Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]S_g_2 = 3.128[/tex]
Explanation:
From the question we are told that
The specific gravity of the first fluid is [tex]S_g_1 = 14.5[/tex]
The pressure of air is [tex]P_a = 81kPa = 81*10^{3} \ Pa[/tex]
The atmospheric pressure is [tex]P_A = 100 kPa = 100 *10^{3} Pa[/tex]
Generally the specific gravity of the second fluid is mathematically represented as
[tex]S_g_2 = S_g_1 * \frac{h_1}{ h_2 } + \frac{P_a - P_A}{\rho_w * g * h_2 }[/tex]
Here [tex]\rho_w[/tex] is the density of water with value [tex]\rho_w = 1000 \ kg/m^3[/tex]
=> [tex]S_g_2 = [14.5 * \frac{0.22}{0.4} ] + [\frac{81*10^{3}-100*10^{3}}{ 1000 * 9.8 * 0.4} ][/tex]
=> [tex]S_g_2 = 3.128[/tex]
