Q15 / 46 · NTA Abhyas (NEET) 2020 · Physics · Kinetic Theory of Gases

The temperature should the hydrogen at 327 °C be cooled at constant pressure so that the root mean square velocity of its molecules becomes half of its previous value is

  • Correct answer
    A
    -123 °C
  • B
    123 °C
  • C
    -100 °C
  • D
    0 °C

Solution

vrms∝3RTM

⇒   T∝vrms2

⇒  T2T1=v2v12=14 ⇒T2=T14=273+3274

        =150 K=-123 ℃

Hence, the correct answer is option: 'A'.

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