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Q.

What is a SI unit of temperature?

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Detailed Solution

The SI base unit of thermodynamic temperature is the kelvin (K).

Definition

The kelvin is defined by fixing the value of the Boltzmann constant (k) to exactly 1.380 649 × 10−23 joules per kelvin (J·K−1). Thus, 1 kelvin corresponds to the change in thermodynamic temperature that results in a change of thermal energy of 1.380 649 × 10−23 J per particle.

Symbol and quantity

  • Unit name: kelvin
  • Symbol: K
  • Base quantity: thermodynamic temperature
  • Dimensional formula: [Θ]

Other temperature scales

Although kelvin (K) is the SI base unit, degrees Celsius (°C) is also commonly used for everyday measurements.

  • Celsius scale: 0 °C = 273.15 K
  • Fahrenheit scale: 32 °F = 273.15 K
  • Conversion: T(°C) = T(K) − 273.15

Examples

  1. Freezing point of water = 273.15 K (0 °C)
  2. Boiling point of water = 373.15 K (100 °C)
  3. Room temperature ≈ 298 K (25 °C)

Core fact: SI unit of temperature is kelvin (K), defined using the Boltzmann constant.

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