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Question

The absolute zero temperature is 0 Kelvin. In °C unit, which one of the following is the absolute zero temperature?

This question was previously asked in
NDA I 2018 GAT Previous Year Paper (22-Apr-2018)
The correct answer is

-273.15°C

Understanding Absolute Zero Temperature

The question asks us to find the value of absolute zero temperature in degrees Celsius (°C), given that it is defined as 0 Kelvin (K).

Absolute zero is the theoretical lowest possible temperature where particles have minimal motion. It is the point where the fundamental particles of nature have minimum vibrational motion, retaining only quantum mechanical, zero-point energy-induced particle motion.

On the Kelvin scale, this unique point is set as 0 K. The Kelvin scale is an absolute thermodynamic scale, meaning it starts at absolute zero. Unlike Celsius or Fahrenheit, it does not have negative values.

Converting Kelvin to Celsius

To convert a temperature from Kelvin (K) to Celsius (°C), we use a standard conversion formula. The Celsius scale is related to the Kelvin scale by a simple offset. The size of one degree Celsius is exactly equal to the size of one Kelvin.

The relationship between the two scales is given by the formula:

\( T_{\text{°C}} = T_{\text{K}} - 273.15 \)

Where:

  • \( T_{\text{°C}} \) is the temperature in degrees Celsius
  • \( T_{\text{K}} \) is the temperature in Kelvin

Calculating Absolute Zero in Celsius

We are given that absolute zero temperature is 0 Kelvin. To find its equivalent value in Celsius, we substitute \( T_{\text{K}} = 0 \) into the conversion formula:

\( T_{\text{°C}} = 0 - 273.15 \)

\( T_{\text{°C}} = -273.15 \)

So, absolute zero temperature, which is 0 Kelvin, is equal to -273.15 degrees Celsius.

Comparing with Options

Let's look at the given options:

  1. 0°C
  2. -100°C
  3. -273.15°C
  4. -173.15°C

Our calculated value for absolute zero in Celsius is -273.15°C, which matches option 3.

Summary of Temperature Scales

Here is a brief comparison of the absolute zero point on different temperature scales:

Temperature Scale Absolute Zero Point
Kelvin (K) 0 K
Celsius (°C) -273.15 °C
Fahrenheit (°F) -459.67 °F

Revision Table: Key Temperature Conversions

Conversion Formula
Kelvin to Celsius \( T_{\text{°C}} = T_{\text{K}} - 27.15 \)
Celsius to Kelvin \( T_{\text{K}} = T_{\text{°C}} + 273.15 \)
Celsius to Fahrenheit \( T_{\text{°F}} = (T_{\text{°C}} \times \frac{9}{5}) + 32 \)
Fahrenheit to Celsius \( T_{\text{°C}} = (T_{\text{°F}} - 32) \times \frac{5}{9} \)
Fahrenheit to Kelvin \( T_{\text{K}} = (T_{\text{°F}} - 32) \times \frac{5}{9} + 273.15 \)
Kelvin to Fahrenheit \( T_{\text{°F}} = (T_{\text{K}} - 273.15) \times \frac{9}{5} + 32 \)

Additional Information: Significance of Absolute Zero

Absolute zero is a crucial concept in thermodynamics and quantum mechanics.

  • It represents the lowest limit of the thermodynamic temperature scale.
  • At temperatures approaching absolute zero, many materials exhibit unusual properties like superconductivity and superfluidity.
  • It is impossible to reach absolute zero in practice, according to the third law of thermodynamics, though temperatures very close to it have been achieved in laboratories.
  • The concept is vital for understanding the behavior of gases (ideal gas law extrapolated to absolute zero) and the principles of quantum mechanics.
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