A thermally insulated vessel contains some water at 0 ∘ C . The vessel is connected to a vacuum pump to pump out water vapour. This results in some water getting frozen. It is given Latent heat of vap

Question

A thermally insulated vessel contains some water at $0^{\circ} C$ . The vessel is connected to a vacuum pump to pump out water vapour. This results in some water getting frozen. It is given Latent heat of vaporization of water at $0^{\circ} C = 21 \times 1 0^{5} J / kg$ and latent heat of freezing of water $= 3.36 \times 1 0^{5} J / kg$ . The maximum percentage amount of water that will be solidified in this manner will be $____$ .

Answer:

86.20

Solution:

$x \times 3.36 \times 1 0^{5} = (1 - x) \times 21 \times 1 0^{5}$

$\frac{1 - x}{x} = \frac{3.36}{21} \Rightarrow 1.16 x = 1 \Rightarrow x = 86.206$

TestHub · Accepted Answer

x × 3.36 × 1 0 5 = ( 1 − x ) × 21 × 1 0 5 x 1 − x ​ = 21 3.36 ​ ⇒ 1.16 x = 1 ⇒ x = 86.206

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