Calorimeter Calibration 50 45 y = -0.44x + 45.86 40 A. 35 30 y = -0.35x + 34.533 Temperature 25 °C 20 y = -0.04x + 23.41 15 10 2 4 6. 8 Time (mins) Red=Temp as 5o mL of warm water slowly cooled over tim Green = Temp ar a mixture of both wam ahd cool water slouly cooled over me Rlue =Temp as 5o mL of cool water stayed relatively Ohstant over time

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Calculate the amount of energy (in J) gained by the cool water when it was mixed with the warm water at 4 minutes.

### Calorimeter Calibration

#### Graph Analysis

The graph displays the temperature change over time for three different trials labeled A, B, and C. The x-axis represents time in minutes, ranging from 0 to 8 minutes. The y-axis shows temperature in degrees Celsius from 0 to 50°C.

- **Trial A (Red Squares)**: The equation of the trend line is \( y = -0.44x + 45.86 \). This line shows a gradual decrease in temperature, indicating that 50 mL of warm water is slowly cooling over time.

- **Trial B (Green Triangles)**: The equation for this trend line is \( y = -0.35x + 34.533 \). This represents the temperature of a mixture of warm and cool water, which also shows a gradual cooling over time.

- **Trial C (Blue Diamonds)**: The trend line equation is \( y = -0.04x + 23.41 \), depicting a relatively stable temperature. This indicates that 50 mL of cool water stays relatively constant over the observed period.

#### Additional Notes

- **Red**: Temperature as 50 mL of warm water slowly cooled over time.
- **Green**: Temperature as a mixture of both warm and cool water slowly cooled over time.
- **Blue**: Temperature as 50 mL of cool water stayed relatively constant over time.

#### Formula for Calculating Energy

The amount of energy (in Joules) can be calculated using the formula:

\[ \text{Energy (J)} = \text{mass} \times C_{\text{water}} \times \text{change in temp} \]

This section provides a comprehensive understanding of how the temperature of different water samples changes over time in a calorimeter setup, useful for educational purposes in thermodynamics or chemistry experiments.
Transcribed Image Text:### Calorimeter Calibration #### Graph Analysis The graph displays the temperature change over time for three different trials labeled A, B, and C. The x-axis represents time in minutes, ranging from 0 to 8 minutes. The y-axis shows temperature in degrees Celsius from 0 to 50°C. - **Trial A (Red Squares)**: The equation of the trend line is \( y = -0.44x + 45.86 \). This line shows a gradual decrease in temperature, indicating that 50 mL of warm water is slowly cooling over time. - **Trial B (Green Triangles)**: The equation for this trend line is \( y = -0.35x + 34.533 \). This represents the temperature of a mixture of warm and cool water, which also shows a gradual cooling over time. - **Trial C (Blue Diamonds)**: The trend line equation is \( y = -0.04x + 23.41 \), depicting a relatively stable temperature. This indicates that 50 mL of cool water stays relatively constant over the observed period. #### Additional Notes - **Red**: Temperature as 50 mL of warm water slowly cooled over time. - **Green**: Temperature as a mixture of both warm and cool water slowly cooled over time. - **Blue**: Temperature as 50 mL of cool water stayed relatively constant over time. #### Formula for Calculating Energy The amount of energy (in Joules) can be calculated using the formula: \[ \text{Energy (J)} = \text{mass} \times C_{\text{water}} \times \text{change in temp} \] This section provides a comprehensive understanding of how the temperature of different water samples changes over time in a calorimeter setup, useful for educational purposes in thermodynamics or chemistry experiments.
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