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a 25.64 gram sample of a solid was heated in test tube to 100 degree celsius in boiling water and carefully added to a coffee cup calorimeter containing 50 gram of water the water hardness increased from 25.10 degrees Celsius to 28.49 degrees celsius what is the specific heat capacity of the container assume all the heat is gained by the water
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a 25.64 gram sample of a solid was heated in test tube to 100 degree c...
Understanding Calorimetry
Calorimetry is the science of measuring the heat absorbed or released during a chemical reaction or physical change. It involves the concept of heat transfer between substances at different temperatures.
Key Concepts
- Specific Heat Capacity: This is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. Each material has a unique specific heat capacity.
- Heat Transfer: When a hot object is placed in a cooler substance, heat will flow from the hot object to the cooler one until thermal equilibrium is reached.
Given Data
- Mass of the solid sample (m_s) = 25.64 grams
- Mass of water (m_w) = 50 grams
- Initial temperature of water (T_initial) = 25.10°C
- Final temperature of water (T_final) = 28.49°C
Calculating Specific Heat Capacity
1. Calculate Change in Temperature (ΔT):
- ΔT_water = T_final - T_initial = 28.49°C - 25.10°C = 3.39°C
2. Calculate Heat Gained by Water (Q_w):
- Q_w = m_w * c_w * ΔT_water
- Where c_w (specific heat of water) = 4.18 J/g°C
3. Heat Lost by the Solid Sample:
- The heat lost by the solid (Q_s) equals the heat gained by the water (Q_w).
4. Specific Heat Capacity of the Solid (c_s):
- c_s = Q_s / (m_s * ΔT_s)
- Here, ΔT_s is the change in temperature of the solid.
Conclusion
By following these steps, you can find the specific heat capacity of the solid sample by equating heat gained by water to heat lost by the solid. This vital calculation is fundamental in calorimetry, allowing us to understand energy transfer in physical processes.
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a 25.64 gram sample of a solid was heated in test tube to 100 degree celsius in boiling water and carefully added to a coffee cup calorimeter containing 50 gram of water the water hardness increased from 25.10 degrees Celsius to 28.49 degrees celsius what is the specific heat capacity of the container assume all the heat is gained by the water Related: Calorimetry and Specific Heat Capacity?
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