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MHT CET20249 May 2024Morning ShiftPhysicsKinetic Theory of GasesActual

The temperature of a gas is -80^ C . To what temperature the gas should be heated so that the r.m.s. speed is increased by 2 times?

Options

  1. A499^ C
  2. B772^ C
  3. C1464^ C
  4. D1737^ C

Correct answer

A. 499^ C

Step-by-step solution

T₁=-80^ C =-80+273 ~K =193 ~K R.M.S. velocity, v _ rms T As the speed is increased by two times, final speed becomes (2 ~V _ rms )₁ array ll & (v_ mss )₂ (v_ ms )₁ = T₂ T₁ =2 & T₂ T₁ =4 & T₂=4 193=772 ~K =499^ C array

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