at what temperature will the rms velocity of hydrogen be double its value at stp when pressure remains constant
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The Temp at which the rms velocity will be double will be 1092 K or 819 °C
Explanation :
We know that the rms velocity of a gas is directly proportional to the square root of the temperature,
C ∝ √T
temp at stp = T₁ = 273
Temp at which the rms velocity will be double = T₂
=> C₂/C₁ = √(T₂/T₁)
From the given condition,
√(T₂/T₁) = 2
=> T₂/T₁ = 4
=> T₂ = 4 x 273 = 1092 K = 1092 - 273 = 819 °C
Hence the Temp at which the rms velocity will be double will be 1092 K or 819 °C
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