1.

. The average molecular speed is greatest in which of the following gas samples ?(1) 1.0 mol of O2 at 560 K(2) 0.50 mol of Ne at 500 K(3) 0.20 mol of CO2 at 440 KX4) 2.0 mol of He at 140 K​

Answer»

The AVERAGE molecular speed is greatest in 2.0 moles of He at 140K

  • The average molecular speed is GIVEN by the formula  c = \sqrt{\frac{8RT}{\pi M} }
  • The average speed of the molecules depends on the value of   \sqrt{\frac{T}{M} } .The greater the value the HIGHER is the speed.

                \sqrt{\frac{T}{M} }= \sqrt{\frac{560}{32} }=4.18

  • For Ne at 500K

               \sqrt{\frac{T}{M} }= \sqrt{\frac{500}{20} }=5

  • For CO₂ a t440K

               \sqrt{\frac{T}{M} }= \sqrt{\frac{440}{44} }=3.16

  • For He at 140K

               \sqrt{\frac{T}{M} }= \sqrt{\frac{140}{4} }=5.91

  • As the value is greater for He the average molecular speed is greater for 2.0 moles of He at 140K.


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