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Calculate the heat energy required to convert completely 10 kg

Question

Calculate the heat energy required to convert completely $10 k g$ of water at $50° C$ into steam at $100° C$ , given that the specific heat capacity of water is $4200 J / (k g ° C)$ and the specific latent heat of vaporisation of water is $2260 k J / k g$ .

30451 KJ

60562 KJ

72103 KJ

24700 KJ

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Elijah Discussed

Calculate the heat energy required to convert completely $10 k g$ of water at $50° C$ into steam at $100° C$ , given that the specific heat capacity of water is $4200 J / (k g ° C)$ and the specific latent heat of vaporisation of water is $2260 k J / k g$ .

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Text solutionVerified

Given that,

Mass $m = 10 k g$

We know that,

$Q_{1} = m c Δ t$

$Q_{1} = 10 \times 4200 \times (100 - 50)$

$Q_{1} = 2100 K J$

Now, the latent heat

$Q_{2} = m L$

$Q_{2} = 10 \times 2260$

$Q_{2} = 22600 k J$

Now, the total heat energy required

$Q = Q_{1} + Q_{2}$

$Q = 2100 + 22600$

$Q = 24700 K J$

Hence, this is the required solution

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Question Text	Calculate the heat energy required to convert completely $10 k g$ of water at $50° C$ into steam at $100° C$ , given that the specific heat capacity of water is $4200 J / (k g ° C)$ and the specific latent heat of vaporisation of water is $2260 k J / k g$ .
Answer Type	Text solution:1
Upvotes	150

Calculate the heat energy required to convert completely 10 kg of water at 50°C into steam at 100°C, given that the specific heat capacity of water is 4200 J/(kg°C) and the specific latent heat of vaporisation of water is 2260 kJ/kg.

Text solutionVerified

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Calculate the heat energy required to convert completely $10 k g$ of water at $50° C$ into steam at $100° C$ , given that the specific heat capacity of water is $4200 J / (k g ° C)$ and the specific latent heat of vaporisation of water is $2260 k J / k g$ .