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27 December, 08:00

By what factor would the average kinetic energy of the particles by increased if the temperature of a substance was increased from - 49°C to 287°C?

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  1. 27 December, 08:07
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    Average kinetic energy of a particle:

    0.5 mv^2 = kT/2

    so the kinetic energy = kT/2

    assuming the same value of K

    T1 = - 49 + 273 = 224

    T2 = 287 + 273 = 560

    E2 / E1 = kT2 / 2 / kT1 / 2

    E2 / E1 = T2 / T1

    E2 / E1 = 560 / 224 = 2.5

    so the average kinetic energy of the particle increases by 2.5
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