Ramendra C Mukerjee Solutions for Chapter: Properties of Gases, Exercise 1: PROBLEMS

Calculate the $\mathrm{RMS}$ speed of ${\mathrm{O}}_2$ at $15°\mathrm{C}$ and $77 \mathrm{cm}$ pressure.

[Report answer in $\mathrm{m}/\mathrm{s}$]

Calculate the $\mathrm{RMS}$ speed of ${\mathrm{NH}}_3$ molecules at $\mathrm{NTP}$.

[Report answer in $\mathrm{m}/\mathrm{s}$]

Compute $\mathrm{RMS}$ speed of average speed of ${\mathrm{CH}}_4$ at $500°\mathrm{C}$.

[ Report answer (in $\mathrm{m}/\mathrm{s}$) up to two decimal places. ]

Calculate the kinetic energy of Avogadro constant of gaseous molecules at $0°\mathrm{C}$.

[Report answer in multiple of ${10}^3 \mathrm{joule}$]

Calculate the volume(in millilitres) occupied by $7 \mathrm{g}$ of ${\mathrm{N}}_2$ under a pressure of $100 \mathrm{atm}$ at $27°\mathrm{C}$.

$\left(\mathrm{a}=1.39 \mathrm{atm} {\mathrm{L}}^2 {\mathrm{mole}}^{-2}, \mathrm{b}=0.391 \mathrm{L} \mathrm{mole}{ }^{-1}\right)$

The van der Waals constant $\mathrm{b}$ for a gas is $4.2\times {10}^{-2} \mathrm{L} {\mathrm{mole}}^{-1}$. How close the nuclei of the two molecules come together?

[Report answer (in $\mathrm{cm}$) in multiple of ${10}^{-8}$ after rounding-off.]

A $2.55 \mathrm{g}$ sample of ${\mathrm{NH}}_4{\mathrm{NO}}_2$ is heated in a test tube.

${\mathrm{NH}}_4{\mathrm{NO}}_2\left(\mathrm{s}\right)\to {\mathrm{N}}_2\left(\mathrm{g}\right)+2{\mathrm{H}}_2\mathrm{O}\left(\mathrm{g}\right)$

What volume of ${\mathrm{N}}_2$ will be collected in the flask when the water and gas temperature is $26°\mathrm{C}$ and barometric pressure is $745 \mathrm{mm} \mathrm{Hg}$?

Nickel carbonyl, $\mathrm{Ni}(\mathrm{CO}{)}_4,$ is one of the most known toxic substances. The present maximum allowable concentration in laboratory air during an $8 \mathrm{hr}$ work day is $1$ part in ${10}^9$. Assume $24°\mathrm{C}$ and $1 \mathrm{atm}$ pressure, what mass of $\mathrm{Ni}(\mathrm{CO}{)}_4$, is allowable in a laboratory that is $110 {\mathrm{m}}^2$ in area, with a ceiling height of $2.7 \mathrm{m}$?