Temperature Scales and Specific Heat of Water

This page covers fundamental concepts of temperature measurement and the specific heat of water, providing practical examples and calculations.

The document begins by presenting two temperature scales: Celsius (°C) and Kelvin (K). It shows the relationship between these scales, with key points such as water's boiling point (100°C or 373.15K) and freezing point (0°C or 273.15K) highlighted.

Definition: Ciepło właściwe wody (specific heat of water) is the amount of heat required to raise the temperature of one kilogram of water by one degree Celsius.

The wzór na ciepło Q (formula for heat Q) is introduced:

Q = Cw * m * ΔT

Where:

• Q is the amount of heat
• Cw is the specific heat capacity
• m is the mass of the substance
• ΔT is the change in temperature

Highlight: The ciepło właściwe wody is constant at 4200 J/(kg·°C).

Several practical examples are provided to illustrate the application of these concepts:

1. Calculating the heat required to warm 4 kg of water from 10°C to 80°C.

Example: Q = 4200 J/(kg·°C) * 4 kg * $80°C - 10°C$ = 1,176,000 J

2. Determining the amount of cold water needed to achieve a desired bath temperature.

Example: A problem involving mixing 10 liters of hot water (100°C) with cold water (10°C) to achieve a final temperature of 40°C is solved, resulting in 20 kg of cold water needed.

3. Calculating the final temperature when mixing water with a hot metal object.

Example: A 1 kg steel object at 300°C is placed in 10 kg of water at 10°C. The final temperature is calculated to be approximately 13°C.

These examples demonstrate practical applications of mieszanie wody o różnych temperaturach (mixing water at different temperatures) and how to calculate the resulting temperature.

Vocabulary:

• Cw: Specific heat capacity
• Q: Heat energy
• m: Mass
• ΔT: Change in temperature
• t: Temperature

The page provides a comprehensive overview of temperature scales, specific heat, and their applications in everyday scenarios, making it an excellent resource for students learning about thermodynamics and heat transfer.