How much sensible heat is required to raise 5 kg of water from 0 C to its boiling point at a pressure of 300 kPa?

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To determine the sensible heat required to raise the temperature of 5 kg of water from 0°C to its boiling point at a pressure of 300 kPa, it's essential to understand the relationship between temperature, pressure, and the boiling point of water.

At a pressure of 300 kPa (which is approximately 3 times atmospheric pressure), the boiling point of water is significantly higher than 100°C. The boiling point of water at this pressure is roughly 134°C. Therefore, the temperature increase needed is from 0°C to 134°C, which is a change of 134°C.

The sensible heat required can be calculated using the formula:

Q = m * c * ΔT

Where:

  • Q is the sensible heat,

  • m is the mass of the water (5 kg),

  • c is the specific heat capacity of water (approximately 4.18 kJ/kg°C),

  • ΔT is the change in temperature (in this case, 134°C).

The necessary change in temperature from 0°C to 134°C gives the correct answer, aligning with the option indicating 134°C. Hence, the necessary sensible heat corresponds to that temperature increase, indicating that this choice successfully captures the heat required to achieve

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