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Liquid ammonia is used in ice factory ...

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 are to be evaporated ?
(Given `:` The latent heat of vaporization of ammonia `= 341 cal //g ` )

Text Solution

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Data : `m_(1) = 2 kg , DeltaT_(1) = 20^(@) C -0^(@) C = 20^(@)C`
` c_(1) = 1" kcal/kg."^(@)C , L_(1) ("ice") = 80 "kcal/kg", L_(2)` (vaporization of ammonia)
= 341 cal/g = 341 kcal/kg, `m_(2) = ? `
`Q_(1)` = (heat lost by water) = ` m_(1)c_(1)DeltaT_(1) + m_(1)L_(1)`
2 kg `xx 1 kcal//kg.^(@)C xx 20^(@)C + 2kg xx 80` kcal/kg
40 Kcal + 160 kcal = 200 kcal
` Q_(2)` ( heat absorbed by ammonia) = `m_(2)L_(2) =m_(2) xx 341` kcal/ kg ltbRgt According to the principal of heat exchange , ` Q_(1) = Q_(2)`
200 kcal. `= m_(2) xx 341` kcal/ kg
` m_(2) = 200/341 " kg" =` 0.5864 kg = 586 .4 g
586.4 g of ammonia are to be evaporated .
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