(B) The $rms$ speed is given by the formula $u = \sqrt{\frac{3RT}{M}}$.Initially,for $N_2$ molecules,$u = \sqrt{\frac{3RT}{M}}$,where $M$ is the molar

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(B) The $rms$ speed is given by the formula $u = \sqrt{\frac{3RT}{M}}$.Initially,for $N_2$ molecules,$u = \sqrt{\frac{3RT}{M}}$,where $M$ is the molar mass of $N_2$.When the temperature is doubled $(T' = 2T)$ and $N_2$ dissociates into $N$ atoms,the new molar mass becomes $M' = M/2$.The new $rms$ speed $u'$ is given by $u' = \sqrt{\frac{3R(2T)}{M/2}} = \sqrt{\frac{3R(4T)}{M}} = 2 \sqrt{\frac{3RT}{M}} = 2u$.

Class 11 Chemistry States of Matter Molecular speeds

Medium

The $rms$ speed of $N_2$ molecules in a gas is $u$. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms,what will be the new $rms$ speed?

A
$u/2$
B
$2u$
C
$4u$
D
$14u$

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Molecular speeds

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EasyAP EAMCET 2024

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For one mole of a monoatomic gas (molar mass $= M$),the root mean square velocity is $U_{rms}$. What is the relationship between the average kinetic energy $(E)$ and $U_{rms}$?

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At temperature $T$ (in Kelvin),the $rms$ velocity of $CO_2$ is $x \ cm/sec$. At what temperature (in Kelvin) will the $rms$ velocity of nitrous oxide $(N_2O)$ be $4x \ cm/sec$ (in $T$)?

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The $rms$ speed of $N_2$ molecules in a gas is $u$. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms,what will be the new $rms$ speed?

Similar Questions

The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at $300 \ K$ is (Atomic masses: $He = 4 \ u$,$O = 16 \ u$) (in $K$)

At what temperature will the average speed of $CH_4$ molecules have the same value as $O_2$ has at $300 \ K$ ........... $K$

What is the kinetic energy (in $J \ mol^{-1}$) of one mole of an ideal gas (molar mass $= 0.1 \ kg \ mol^{-1}$) if its rms velocity is $4 \times 10^2 \ ms^{-1}$ at $T(K)$?

For one mole of a monoatomic gas (molar mass $= M$),the root mean square velocity is $U_{rms}$. What is the relationship between the average kinetic energy $(E)$ and $U_{rms}$?

At temperature $T$ (in Kelvin),the $rms$ velocity of $CO_2$ is $x \ cm/sec$. At what temperature (in Kelvin) will the $rms$ velocity of nitrous oxide $(N_2O)$ be $4x \ cm/sec$ (in $T$)?

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