Q62 / 90 · JEE Main 2019 (08 Apr Shift 1) · Physics

A thermally insulated vessel contains 150 g of water at 0°C . Then the air from the vessel is pumped out adiabatically. A fraction of water turns into ice and the rest evaporates at 0°C itself. The mass of evaporated water will be closest to: (Latent heat of vaporization of water =2.10×106 J kg-1 and Latent heat of Fusion of water =3.36×105 J kg-1 )

  • A
    35 g
  • Correct answer
    B
    20 g
  • C
    130 g
  • D
    150 g

Solution

Suppose m grams of water evaporate. Then, heat required
ΔQreq=mLv
Mass that converts into ice =150-m
Heat released in the process,
ΔQrel=150-mLf
Now, ΔQrel=ΔQreq
150-mLf=mLv
mLf+Lv=150 Lf
m=150LfLf+Lv
m=20 g

Hence, the correct answer is option: 'B'.

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