85 g of water at 30°C is cooled to 5°C by adding certain mass of ice. Find the mass of ice required.
[Specific heat capacity of water = 4.2 J g⁻¹ °C⁻¹ , Specific latent heat of fusion = 336 J g⁻¹]

Question

85 g of water at 30°C is cooled to 5°C by adding certain mass of ice. Find the mass of ice required.
[Specific heat capacity of water = 4.2 J g⁻¹ °C⁻¹ , Specific latent heat of fusion = 336 J g⁻¹]

KnowledgeBoat · Accepted Answer

Given, For Water Mass of water (mw) = 85 g Initial temperature (Ti) = 30°C Final temperature (Tf) = 5°C Specific heat capacity of water (cw) = 4.2 J g⁻¹ °C⁻¹ For ice Initial temperature (Ti) = 0°C Final temperature (Tf) = 5°C Specific latent heat of fusion (Li) = 336 J g⁻¹ Let, Mass of ice = (mi) Now, Heat lost by water = mwcw△t = 85 × 4.2 × (30 - 5) = 85 × 4.2 × 25 = 8925 J Heat gained by ice = miLi + micw△t = mi × 336 + mi × 4.2 × (5-0) = 336mi + mi × 4.2 × 5 = 336mi + 21mi = 357mi By principle of calorimetry, Heat lost by water = Heat gained by ice ⟹ 8925 = 357 mi ⟹ mi = = 25 g So, the mass of required ice is 25 g.

Physics

85 g of water at 30°C is cooled to 5°C by adding certain mass of ice. Find the mass of ice required.
[Specific heat capacity of water = 4.2 J g⁻¹ °C⁻¹ , Specific latent heat of fusion = 336 J g⁻¹]

Calorimetry

Related Questions

Below is the diagram of a transformer :
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Study the diagram :
(a) Calculate the total resistance of the circuit.
(b) Calculate the current drawn from the cell.
(c) State whether the current through 10 Ω resistor is greater than, less than or equal to the current through the 12 Ω resistor.

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Physics

85 g of water at 30°C is cooled to 5°C by adding certain mass of ice. Find the mass of ice required.[Specific heat capacity of water = 4.2 J g⁻¹ °C⁻¹ , Specific latent heat of fusion = 336 J g⁻¹]

Calorimetry

Related Questions

Below is the diagram of a transformer :(a) Identify the type of transformer.(b) In this type of transformer which of the wire is thicker, the primary or the secondary? Give a reason.

Study the diagram :(a) Calculate the total resistance of the circuit.(b) Calculate the current drawn from the cell.(c) State whether the current through 10 Ω resistor is greater than, less than or equal to the current through the 12 Ω resistor.

(a) Why does it become pleasantly warm when the lakes start freezing?(b) Water freezes to form ice. What change would you expect in the average kinetic energy of the molecules?(c) Which will contain more heat energy 1 g of ice at 0°C or 1 g water at 0°C ?

85 g of water at 30°C is cooled to 5°C by adding certain mass of ice. Find the mass of ice required.
[Specific heat capacity of water = 4.2 J g⁻¹ °C⁻¹ , Specific latent heat of fusion = 336 J g⁻¹]

Below is the diagram of a transformer :
(a) Identify the type of transformer.
(b) In this type of transformer which of the wire is thicker, the primary or the secondary? Give a reason.

Study the diagram :
(a) Calculate the total resistance of the circuit.
(b) Calculate the current drawn from the cell.
(c) State whether the current through 10 Ω resistor is greater than, less than or equal to the current through the 12 Ω resistor.

(a) Why does it become pleasantly warm when the lakes start freezing?
(b) Water freezes to form ice. What change would you expect in the average kinetic energy of the molecules?
(c) Which will contain more heat energy 1 g of ice at 0°C or 1 g water at 0°C ?