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Liquid ammonia is used in ice factory fo...

Liquid ammonia is used in ice factory for making ice from water. If water at `20^(@)C` is to be converted into 2 kg ice at `0^(@)C`, how many grams of ammonia is to be evaporated? (Given: The latent heat of vaporization of ammonia= 341 cal/g)

Text Solution

Verified by Experts

(1) Water
Water `(20^(@)C)overset(mcDeltaT)to"Water" (0^(@)C) overset(mL)to"Ice"(0^(@)C)`
`Q_(A) = mCDeltaT + mL…………..(i)`
(2) Ammonia
`Q_(B) = m_(1),L_(1)………..(ii)`
from (i) and (ii)
`Q_(A) = Q_(B)`
`mcDeltaT + mL = m_(1)L_(1)`
`2xx 1 xx(20 - 0) + (2xx 80) = m_(1) xx 341`
` 40 +160 = m_(1) xx 341`
`200 = m_(1) xx 341`
`m_(1) = (200)/(341)`
` m_(1) = 0.5865 kg`
or
`m_(1) = 586.5 g`
Hence, 586.5g of ammonia has to be evaporated .
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