Two statements are given below. Statement-I: The ratio of the molar volume of a gas to that of an ideal gas…

Two statements are given below. Statement-I: The ratio of the molar volume of a gas to that of an ideal gas at constant temperature and pressure is called the compressibility factor. Statement-II: The RMS velocity of a gas is directly proportional to square root of $\mathrm{T}(\mathrm{K})$ The correct answer is
  1. Both statement-I and statement-II are correct
  2. Both statement-I and statement-II are not correct
  3. Statement-I is correct but statement-II not correct
  4. Statement-I is not correct but statement-II is correct

Solution

Both statement I and II are correct. $v_{\mathrm{rms}}=\frac{\sqrt{3 \mathrm{kbT}}}{\mathrm{m}}$ For this equation $v_{\mathrm{rms}} \propto \sqrt{\mathrm{T}}$

Asked in: AP EAMCET 2024 (20 May Shift 1)

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