Question

When the temperature of an ideal gas is increased from 27c to 127

Answer 1

Vrms = √(3RT/MO)

hence Vrms ∝ √T1

∴ (V2/V1)   = √(T2/T1)

= √{(127 + 273)/(27 + 273)}

= √{400/300} = √(4/3)

∴ (V2/V1) = √(4 / 3) = 1.15

∴ {(V2 – V1)/V1}

= {(1.15 – 1)/1}

i.e. {(V2 – V1)/V1} = 0.15

∴ % increase in Vrms = 0.155 × 100% = 15.5%