The temperature of a gas is doubled (i) on absolute scale (ii) on centigrade scale. The increase in root mean square velocity of gas will be
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The increase in root mean square velocity of gas will be √2 times
Explanation :
The root mean square velocity of a gas is given by;
Vrms = √(3RT/M)
hence we can see that the root mean square velocity of gas will be directly proportional to the square root of temp because R and M are constant.
Vrms ∝ √T
=> V₂/V₁ = √T₂/T₁
=> V₂/V₁ = √2
=> V₂ = √2V₁
Hence the increase in root mean square velocity of gas will be √2 times
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