What is the sensible heat required to raise 16 kg of water at 0 degrees C to the boiling point at 900 kPa?

What is the sensible heat required to raise 16 kg of water at 0 degrees C to the boiling point at 900 kPa?

• A. 596.12 kJ
• B. 11,885.28 kJ
• C. 742.83 kJ
• D. 146.68 kJ

Answer: (B)

To determine the sensible heat required to raise 16 kg of water from 0 degrees Celsius to its boiling point at a specified pressure, it's important to know the boiling point of water at the given pressure of 900 kPa. The boiling point of water increases with pressure; at 900 kPa, the boiling point is approximately 180 degrees Celsius. The calculation of sensible heat involves the formula: \[ Q = m \cdot c \cdot \Delta T \] where: - \( Q \) is the sensible heat, - \( m \) is the mass of the water, - \( c \) is the specific heat capacity of water (approximately 4.18 kJ/kg°C), - \( \Delta T \) is the change in temperature. In this case: - The mass \( m \) is 16 kg, - The specific heat capacity \( c \) is 4.18 kJ/kg°C, - The change in temperature \( \Delta T \) is from 0 degrees Celsius to 180 degrees Celsius, which equals 180 degrees Celsius. Now, substituting these values into the formula gives: \[ Q = 16 \, \text{kg} \cdot 4.

To determine the sensible heat required to raise 16 kg of water from 0 degrees Celsius to its boiling point at a specified pressure, it's important to know the boiling point of water at the given pressure of 900 kPa. The boiling point of water increases with pressure; at 900 kPa, the boiling point is approximately 180 degrees Celsius.

The calculation of sensible heat involves the formula:

[ Q = m \cdot c \cdot \Delta T ]

where:

• ( Q ) is the sensible heat,

• ( m ) is the mass of the water,

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

• ( \Delta T ) is the change in temperature.

In this case:

• The mass ( m ) is 16 kg,

• The specific heat capacity ( c ) is 4.18 kJ/kg°C,

• The change in temperature ( \Delta T ) is from 0 degrees Celsius to 180 degrees Celsius, which equals 180 degrees Celsius.

Now, substituting these values into the formula gives:

[ Q = 16 , \text{kg} \cdot 4.