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KCET2010ChemistryStates of Matter

For one mole of an ideal gas, increasing the temperature from 10^ C to 20^ C

Options

  1. Aincreases the average kinetic energy by two times
  2. Bincreases the rms velocity by 2 times
  3. Cincreases the rms velocity by two times
  4. Dincreases both the average kinetic energy and rms velocity, but not significantly

Correct answer

D. increases both the average kinetic energy and rms velocity, but not significantly

Step-by-step solution

Given, T ₁=273+10=283 ~K T ₂=273+20=293 ~K Average KE = 3 2 KT ( KE ₁ ) ( KE ₂ ) = 283 293 =0.96 Root mean square (rms) velocity, v _ rms = 3 RT M aligned v _ ( rms )₁ v _ ( rms )₂ &= T ₁ ~T ₂ &= 283 293 =0.98 aligned Thus, both average kinetic energy and root mean square velocity increase but not significantly when temperature is increased from 10^ C to 20^ C .

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