Question

Какое количество теплоты потребуется для превращения в пар 4 кг воды при температуре 100С?

Answer 1

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Answer 2

Calculating Heat Required to Convert Water to Steam

To calculate the amount of heat required to convert 4 kg of water at 100°C to steam, we can use the formula:

Q = Q1 + Q2

Where: - Q1 is the heat required to raise the temperature of the water to its boiling point. - Q2 is the heat required for the phase change from liquid to gas.

Calculating Q1

Using the given data: - m (mass of water) = 4 kg - C (specific heat capacity of water) = 4200 J/kg°C - t1 (initial temperature) = 35°C - t2 (final temperature) = 100°C

We can calculate Q1 using the formula: Q1 = C * m * (t2 - t1)

Substituting the values: Q1 = 4200 * 4 * (100 - 35) Q1 = 4200 * 4 * 65 Q1 = 546000 J

Calculating Q2

The heat required for the phase change from liquid to gas is given by: Q2 = L * m

Where: - L (latent heat of vaporization of water) = 23 * 10^5 J/kg

Substituting the values: Q2 = 23 * 10^5 * 4 Q2 = 92 * 10^5 J

Total Heat Required (Q)

Now, we can find the total heat required: Q = Q1 + Q2 Q = 546000 + 92 * 10^5 Q = 546000 + 920000 Q = 1466000 J

So, the amount of heat required to convert 4 kg of water at 100°C to steam is 1466000 J.