To help prevent frost damage. 105 kg of 0 degree C water is sprayed onto a fruit

Question

To help prevent frost damage. 105 kg of 0 degree C water is sprayed onto a fruit tree How much heat is transferred, in kilocalories, from the water to the atmosphere, occurs as the water freezes? The latent heat of fusion for water is L_t = 79.8 kcal/kg. What would be the temperature change, m degrees Celsius, of the 25 -kg tree if this heat was transferred from the tree lather than from the water0 Take the specific heat of the tree to be 3.35 kJ/(kg degree C). Numeric : A numeric value is expected and not an expression

Explanation / Answer

Here ,

mass of water , m = 4.05 Kg

a)

latent heat of fusion of ice , Lf = 79.8 kcal/kg

heat released = mass * Lf

heat released = 4.05 kg* 79.8 kcal/kg

heat released = 323.19 Kcal

the heat released is 323.19 Kcal

b)

specific heat = 3.35 kJ/kg.C

specific heat = 0.8 kcal/(kg.degree C)

let the temperature differnece is del T

mass * specifc heat ( del T ) = heat released

205 * 0.8 * del T = 323.19 Kcal

del T = 1.97 degree C

the change in temperature of tree is 1.97 degree C

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