The number of kilocalories required to increase the temperature of 1 kg of water by 1°C is a specific value related to the specific heat capacity of water. The specific heat capacity of water is a well-known constant used in thermodynamics and is defined as the amount of heat energy required to raise the temperature of a unit mass of a substance by 1°C.
For water, this specific heat capacity is approximately 1 kilocalorie per kilogram per degree Celsius (1 kcal/kg°C).
Let’s break down the process:
1. Identify the Mass and Temperature Change: We are dealing with 1 kg of water and a temperature change of 1°C.
2. Apply the Specific Heat Capacity: The specific heat capacity of water is 1 kcal/kg°C. Therefore, the energy required to increase the temperature of 1 kg of water by 1°C is:
[tex]\[
\text{Energy} = \text{Mass} \times \text{Specific Heat Capacity} \times \text{Temperature Change}
\][/tex]
[tex]\[
\text{Energy} = 1 \, \text{kg} \times 1 \, \text{kcal/kg°C} \times 1 \, °C
\][/tex]
[tex]\[
\text{Energy} = 1 \, \text{kcal}
\][/tex]
3. Compare with the Given Statement: The statement claims that it takes 10 kilocalories to increase the temperature of 1 kg of water by 1°C. However, based on our breakdown and understanding of the specific heat capacity, it actually takes 1 kilocalorie.
Based on this detailed analysis, the result confirms that the statement, "The number of kilocalories required to increase the temperature of 1 kg of water 1°C is 10," is:
b. False
