GATE 2021 ME (ME2) – Question 32
A rigid tank of volume 50 m³ contains a pure substance as a saturated liquid vapour mixture at 400 kPa. Of the total mass of the mixture, 20% mass is liquid and 80% mass is vapour. Properties at 400 kPa are: $T_{sat}=143.61$°C, $v_f=0.001084$ m³/kg, $v_g=0.46242$ m³/kg. The total mass of liquid vapour mixture in the tank is _____ kg (round off to the nearest integer).
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Correct answer: 135
Explanation
Quality is x=0.8. Mixture specific volume is $v=(1-x)v_f+xv_g=0.2(0.001084)+0.8(0.46242)=0.3701528$ m³/kg.
Mass is V/v=50/0.3701528=135.07935 kg, rounded to **135 kg**.