The r.m.s. velocity of CO_2 at a temperature | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The formula for r.m.s. velocity is $v_{rms} = \sqrt{\frac{3RT}{M}}$.For $CO_2$: $v_{CO_2} = x = \sqrt{\frac{3RT}{M_{CO_2}}}$.For $N_2O$: $v_{N_2O}

Vedclass · Accepted Answer

$16$

Vedclass · Answer

(A) The formula for r.m.s. velocity is $v_{rms} = \sqrt{\frac{3RT}{M}}$.For $CO_2$: $v_{CO_2} = x = \sqrt{\frac{3RT}{M_{CO_2}}}$.For $N_2O$: $v_{N_2O} = 4x = \sqrt{\frac{3RT_{N_2O}}{M_{N_2O}}}$.Atomic weights are $C=12, N=14, O=16$. Thus,$M_{CO_2} = 12 + 2(16) = 44 \ g \ mol^{-1}$ and $M_{N_2O} = 2(14) + 16 = 44 \ g \ mol^{-1}$.Since $M_{CO_2} = M_{N_2O}$,we have $\frac{v_{N_2O}}{v_{CO_2}} = \frac{4x}{x} = \sqrt{\frac{T_{N_2O}}{T}}$.$4 = \sqrt{\frac{T_{N_2O}}{T}}$.Squaring both sides,$16 = \frac{T_{N_2O}}{T}$,so $T_{N_2O} = 16T$.

The r.m.s. velocity of $CO_2$ at a temperature $T$ (in kelvin) is $x \ cm \ s^{-1}$. At what temperature (in kelvin),the r.m.s. velocity of nitrous oxide would be $4 x \ cm \ s^{-1}$ (in $T$)? (Atomic weights of $C, N$ and $O$ are respectively $12, 14$ and $16$)

Similar Questions

In the diagram,the input is across the terminals $A$ and $C$ and the output is across the terminals $B$ and $D$. Then the output is

Three immiscible liquids of densities $d_1 > d_2 > d_3$ and refractive indices $\mu_1 > \mu_2 > \mu_3$ are put in a beaker. The height of each liquid column is $h/3$. $A$ dot is made at the bottom of the beaker. For near normal vision,find the apparent depth of the dot.

One mole of an ideal gas $(\gamma = 1.4)$ is adiabatically compressed so that its temperature rises from $27\,^oC$ to $35\,^oC$. The change in the internal energy of the gas is .... $J$. (Given $R = 8.3\,J/mol\cdot K$)

The combined equation of the diagonals of the square formed by the two pairs of straight lines given by $xy+4x-3y-12=0$ and $xy-3x+4y-12=0$ is

In which of the following is the hydration energy higher than the lattice energy?

Vedclass Test Series

Exam Paper Generator

Online Exam Module