Calculate the heat required to convert 10.0 g of water at 100°C to steam at 100.0 °C. The specific heat of water is 1.00 cal/(g x °C); the heat of fusion is 80.0 cal/g; and the heat of vaporization is 540.0 cal/g.
Calculate the heat required to convert 10.0 g of water at 100°C to steam at 100.0 °C. The specific heat of water is 1.00 cal/(g x °C); the heat of fusion is 80.0 cal/g; and the heat of vaporization is 540.0 cal/g.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Calculating Heat Required for Phase Change: Water to Steam**
To determine the heat required to convert 10.0 g of water at 100°C to steam at 100.0 °C, we need to consider the energy needed for the phase change from liquid to gas.
**Given Data:**
- Mass of water = 10.0 g
- Temperature = 100°C
- Specific heat of water = 1.00 cal/(g × °C)
- Heat of fusion (melting ice) = 80.0 cal/g (not required here)
- Heat of vaporization = 540.0 cal/g
**Calculation:**
Only the heat of vaporization is needed as the water is already at 100°C, the boiling point. The energy required is calculated using the formula:
Q = m × Hv
where:
- Q = heat energy (calories)
- m = mass of the substance (g)
- Hv = heat of vaporization (cal/g)
**Substitute the values:**
Q = 10.0 g × 540.0 cal/g = 5400.0 cal
Therefore, 5400.0 calories of energy are required to convert 10.0 g of water at 100°C to steam at 100°C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02baf1d3-0eae-45b3-ae51-b0c2a0263478%2Fdeb3be54-cda9-4a56-ae42-3f49f39b9c0b%2F98lkm4_processed.png&w=3840&q=75)
Transcribed Image Text:**Calculating Heat Required for Phase Change: Water to Steam**
To determine the heat required to convert 10.0 g of water at 100°C to steam at 100.0 °C, we need to consider the energy needed for the phase change from liquid to gas.
**Given Data:**
- Mass of water = 10.0 g
- Temperature = 100°C
- Specific heat of water = 1.00 cal/(g × °C)
- Heat of fusion (melting ice) = 80.0 cal/g (not required here)
- Heat of vaporization = 540.0 cal/g
**Calculation:**
Only the heat of vaporization is needed as the water is already at 100°C, the boiling point. The energy required is calculated using the formula:
Q = m × Hv
where:
- Q = heat energy (calories)
- m = mass of the substance (g)
- Hv = heat of vaporization (cal/g)
**Substitute the values:**
Q = 10.0 g × 540.0 cal/g = 5400.0 cal
Therefore, 5400.0 calories of energy are required to convert 10.0 g of water at 100°C to steam at 100°C.
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