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Define a new thermodynamic scale say degree No in which the freezing point and boiling point of water are 100 N and 300N respectively Correlate this temperature scale with centigrade scale?
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Define a new thermodynamic scale say degree No in which the freezing p...
Introduction to Degree No Scale
The Degree No scale defines a new thermodynamic temperature scale where the freezing and boiling points of water are set at 100 N and 300 N, respectively.
Correlation with Centigrade Scale
To establish a relationship between the Degree No (N) and the Centigrade (°C) scale, we can follow these steps:
- The freezing point of water is defined as:
- Freezing Point (°C) = 0 °C
- Freezing Point (N) = 100 N
- The boiling point of water is defined as:
- Boiling Point (°C) = 100 °C
- Boiling Point (N) = 300 N
Linear Relationship
The relationship between the two scales can be expressed as a linear equation:
- The temperature difference in Degree No:
- ΔN = 300 N - 100 N = 200 N
- The temperature difference in Centigrade:
- Δ°C = 100 °C - 0 °C = 100 °C
From this, we can derive the conversion formula:
- 1 N = 0.5 °C
Conversion Formula
The conversion formulas between the two scales can therefore be summarized as:
- To convert from Degree No to Centigrade:
- °C = (N - 100) × 0.5
- To convert from Centigrade to Degree No:
- N = (°C × 2) + 100
Conclusion
This new scale, Degree No, provides an alternative way to measure temperature, maintaining a direct and proportional relationship with the Centigrade scale. The simple conversion allows for easy integration into various thermodynamic calculations.
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Define a new thermodynamic scale say degree No in which the freezing point and boiling point of water are 100 N and 300N respectively Correlate this temperature scale with centigrade scale?
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