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Calculate the total amount of heat energy required to melt 200 g of ice at 0°C to water at 100°C. (Specific latent heat of ice = 336 Jg-1, specific heat capacity of water = 4.2 Jg-1 °C-1) - Physics

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Question

Calculate the total amount of heat energy required to melt 200 g of ice at 0°C to water at 100°C. (Specific latent heat of ice = 336 Jg-1, specific heat capacity of water = 4.2 Jg-1 °C-1)

Numerical

Solution

200 g of ice at 0°C

Q1 = mLf

200 g of H2O at 0°C

Q2 = m × c × θR

200 g of H2O at 100°C

Total heat required

Q = Q1 + Q

= mLf + m × c × θR

= (200 × 336) + (200 × 4·2 × 100)

= (67200) + (84000)

= 1,51,200 J

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