Charlie wants to know the mass of his copper statue of Isaac Newton, but he doesn't have a scale. So, he heats up the statue to 97.0° C and plunges it into a tank of cold water (50 kg) at a temperature of 6.00° C. He notices that the water temperature rises to 9.00° C. What must be the mass of the statue? (Ignore the heat absorption of the water tank.) Specific heat of water: cwater = 4186 J/kg-°C Specific heat of copper: ccopper = 387 J/kg-°C

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Charlie wants to know the mass of his copper statue of Isaac Newton, but he doesn’t have a scale. So, he heats up the statue to 97.0°C and plunges it into a tank of cold water (50 kg) at a temperature of 6.00°C. He notices that the water temperature rises to 9.00°C. What must be the mass of the statue? (Ignore the heat absorption of the water tank.)

- Specific heat of water: c_water = 4186 J/kg-°C
- Specific heat of copper: c_copper = 387 J/kg-°C
Transcribed Image Text:Charlie wants to know the mass of his copper statue of Isaac Newton, but he doesn’t have a scale. So, he heats up the statue to 97.0°C and plunges it into a tank of cold water (50 kg) at a temperature of 6.00°C. He notices that the water temperature rises to 9.00°C. What must be the mass of the statue? (Ignore the heat absorption of the water tank.) - Specific heat of water: c_water = 4186 J/kg-°C - Specific heat of copper: c_copper = 387 J/kg-°C
## Formulas:

### Specific Heat:
\[ c \equiv \frac{Q}{m \Delta T} \quad (\text{J/kg} \cdot °C) \]
\[ Q = mc(T_f - T_i) \]

### Mixtures:
\[ Q_{\text{cold}} = -Q_{\text{hot}} \]

### Latent Heat:
**Phase change:**
\[ Q = \pm mL \]

### Thermal Conductivity:
\[ \frac{Q}{t} = \text{Power} = P = kA \frac{(T_h - T_c)}{L} \]

### Stefan’s Law of Radiation:
\[ P = \sigma A e T^4 \]

These equations are essential for understanding heat transfer and thermodynamics. They represent key concepts such as specific heat capacity, energy exchange in mixtures, latent heat during phase changes, thermal conductivity in materials, and the Stefan-Boltzmann law for radiation.
Transcribed Image Text:## Formulas: ### Specific Heat: \[ c \equiv \frac{Q}{m \Delta T} \quad (\text{J/kg} \cdot °C) \] \[ Q = mc(T_f - T_i) \] ### Mixtures: \[ Q_{\text{cold}} = -Q_{\text{hot}} \] ### Latent Heat: **Phase change:** \[ Q = \pm mL \] ### Thermal Conductivity: \[ \frac{Q}{t} = \text{Power} = P = kA \frac{(T_h - T_c)}{L} \] ### Stefan’s Law of Radiation: \[ P = \sigma A e T^4 \] These equations are essential for understanding heat transfer and thermodynamics. They represent key concepts such as specific heat capacity, energy exchange in mixtures, latent heat during phase changes, thermal conductivity in materials, and the Stefan-Boltzmann law for radiation.
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