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The rms velocity of the molecules in a sample of helium is ${(\frac{5}{7})}^{t h}$ of that of the molecules in a sample of hydrogen. If the temperature of hydrogen gas is $0 ° C$ , the temperature of the helium sample is nearly equal to

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0 °C

273 °C

100 °C

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detailed solution

Correct option is B

vRMS=3RTMvRMSHe=57vRMSH⇒3RTHeMHe=573RTHMH⇒THe=2549MHeTHMH=254942(273)K≈273K=0∘C

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The rms velocity of the molecules in a sample of helium is 57th of that of the molecules in a sample of hydrogen. If the temperature of hydrogen gas is 0 °C , the temperature of the helium sample is nearly equal to

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The rms velocity of the molecules in a sample of helium is ${(\frac{5}{7})}^{t h}$ of that of the molecules in a sample of hydrogen. If the temperature of hydrogen gas is $0 ° C$ , the temperature of the helium sample is nearly equal to