A container is filled with a gas at a temperature of 350 K such that its pressur

Question

A container is filled with a gas at a temperature of 350 K such that its pressure is 2.35 times 10^5 Pa. If the average kinetic energy of a molecule in the gas is to be quadruped, by what factor must the rms speed decrease or increase? V_rms, f/V_rms, j = State whether the rms speed decreases or increases. decreases increases If the average kinetic energy of a molecule in the gas is to be halved, by what factor must the rms speed decrease or increase? vrms, f/v_rms, j = State whether the rms speed decreases or increases. decreases increases

Explanation / Answer

A)

the average kinetic energy is,

Kavg = 0.5mvrms,i2

given ,Kavg = 4Kavg, put in the above equation becomes as,

4Kavg = 0.5mvrms,f2

the ratio vrms,f/vrms,i is,

  vrms,f/vrms,i = sqrt[4]

= 2,

increases

B)

given, Kavg = 0.5Kavg, then the ratio vrms,f/vrms,i is,

  vrms,f/vrms,i = sqrt[0.5]

= 0.707,

decreases

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