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The dimensions of universal gas constant R are

  • (A) M²L²T⁻²
  • (B) ML²T⁻²θ⁻¹
  • (C) M²L²T⁻²θ⁻²
  • (D) ML T⁻²θ⁻²

Aniket Singh , 7 Months ago
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anser 1 Answers
Askiitians Tutor Team

The universal gas constant, often denoted as R, is a fundamental constant in thermodynamics and physical chemistry. Its dimensions can be derived from the ideal gas law, which relates pressure, volume, temperature, and the number of moles of gas.

Understanding the Dimensions of R

The universal gas constant R is expressed in terms of energy per temperature increment per mole. The correct dimensional formula for R is:

  • M - mass
  • L - length
  • T - time
  • θ - temperature

Correct Answer

The dimensions of the universal gas constant R are given by option (B): ML²T⁻²θ⁻¹.

This means that R has dimensions of mass (M), length squared (L²), time squared (T⁻²), and temperature to the power of negative one (θ⁻¹).

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