Given the table, what is the value of A, B, C, or D?

Assume the question asks for the heat required to vaporize 1 kg of water.
The latent heat of vaporization of water is 2256 kJ/kg.
Option C (2200 kJ) is the closest value to the latent heat of vaporization of water.
The approximate heat required to vaporize 1 kg of water is \boxed{2200 kJ}.

Explanation

Problem Analysis We are given a table of properties for different materials and four options in kJ. Without a specific question, we must make an assumption about what is being asked. Let's explore a few possibilities based on the data provided.

Exploring Possibilities


Possibility 1: Heat to vaporize 1 kg of water The latent heat of vaporization of water is 2256 kJ/kg. Thus, to vaporize 1 kg of water, it would require 2256 kJ, which is close to option C (2200 kJ).
Possibility 2: Heat to melt 1 kg of Aluminum The latent heat of fusion of Aluminum is 400 kJ/kg. Thus, to melt 1 kg of Aluminum, it would require 400 kJ, which is close to option B (800 kJ). However, this is not an exact match.
Possibility 3: Heat to raise the temperature of 1 kg of Aluminum from 660 to 2450 We can calculate the heat required using the formula Q = m c Δ T , where:

m = mass (1 kg)
c = specific heat capacity (400 J/kg°C)
Δ T = change in temperature (2450 - 660 = 1790 °C)

So, Q = 1 × 400 × 1790 = 716000 J = 716 k J . This is not close to any of the options.
Possibility 4: Heat to raise the temperature of 1 kg of Aluminum by the difference between the boiling and melting points The change in temperature is 2450 − 660 = 1790 degrees. The heat required is Q = m c Δ T = 1 × 400 × 1790 = 716000 J = 716 k J . This is not close to any of the options.
Possibility 5: Heat to melt 1 kg of Aluminum and then raise its temperature to the boiling point The heat to melt 1 kg of aluminum is 400 kJ. The heat to raise the temperature from the melting point (660) to the boiling point (2450) is Q = m c Δ T = 1 × 400 × ( 2450 − 660 ) = 716000 J = 716 k J . The total heat is 400 + 716 = 1116 k J . This is not close to any of the options.
Possibility 6: Heat to raise the temperature of 1 kg of Aluminum from 0 to the melting point The heat required is Q = m c Δ T = 1 × 400 × ( 660 − 0 ) = 264000 J = 264 k J . This is not close to any of the options.

Reconsidering Possibilities

Let's reconsider Possibility 3. It asks for the heat required to raise the temperature of 1 kg of Aluminum from the melting point to the boiling point. The melting point is 660 and the boiling point is 2450. The specific heat capacity is 400. Therefore, the heat required is:
Q = m c Δ T = 1 × 400 × ( 2450 − 660 ) = 1 × 400 × 1790 = 716000 J = 716 k J .
However, if we assume that the specific heat capacity is given in units of J / k g ⋅ K , then the answer would be 716 kJ. None of the options are close to this value.
Let's assume the question is asking for the heat required to raise the temperature of 1 kg of Aluminum from 660 to 660 + x, where x is some unknown value. If we assume the answer is 800 kJ, then:
800000 = 1 × 400 × ( 660 + x − 660 ) 800000 = 400 x x = 2000
So, the question would be: What is the heat required to raise the temperature of 1 kg of Aluminum from 660 to 2660? However, 2660 is not in the table.
Let's assume the question is asking for the heat required to raise the temperature of 1 kg of Aluminum from 660 to 2450. Then the heat required is:
Q = 1 × 400 × ( 2450 − 660 ) = 716000 J = 716 k J . This is not close to any of the options.

Final Assumption and Answer

Let's assume the question is asking for the heat required to vaporize 1 kg of water. The latent heat of vaporization of water is 2256 kJ/kg, which is close to option C (2200 kJ).

Conclusion Based on the given options and the data, the most plausible question is: What is the approximate heat required to vaporize 1 kg of water?

The latent heat of vaporization of water is 2256 kJ/kg, which is closest to option C (2200 kJ).
Examples
Understanding the heat properties of materials is crucial in many real-world applications. For example, when designing a cooling system for a computer, engineers need to know the specific heat capacity of the materials used to dissipate heat. Similarly, when designing a steam power plant, engineers need to know the latent heat of vaporization of water to calculate the amount of energy required to convert water into steam. This knowledge ensures efficient and safe operation of these systems.

Answered by GinnyAnswer | 2025-07-07

The most plausible question typically relates to finding the heat required to vaporize 1 kg of water, which is approximately 2256 kJ. Therefore, option C (2200 kJ) is the closest match. This conclusion is based on understanding latent heat in chemistry.
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Answered by Anonymous | 2025-07-16