Ramendra C Mukerjee Solutions for Chapter: Elementary Problems Based on Definition of Mole: The Mole Concept, Exercise 1: PROBLEMS

Calculate the mass of $5$ moles of ${\mathrm{CaCO}}_3$ in grams.

Find the total number of nucleons present in $12 \mathrm{g}$ of ${}^{12}\mathrm{C}$ atoms.

Divide the answer by $1\times {10}^{24}$ and report the value in three significant figures.

(${\mathrm{N}}_{\mathrm{A}}=6.022\times {10}^{23}$)

The density of solid $\mathrm{AgCl}$ is $5.56 \mathrm{g} {\mathrm{cc}}^{-1}$. The solid is made up of a cubic array of alternate ${\mathrm{Ag}}^{+}$ and ${\mathrm{Cl}}^{-}$ ions at a spacing of $2.773 \stackrel{0}{\mathrm{A}}$ between centres. From these data, calculate the Avogadro's constant. $\left(\mathrm{Ag}=108 \mathrm{g} {\mathrm{mol}}^{-1}, \mathrm{Cl}=35.5 \mathrm{g} {\mathrm{mol}}^{-1}\right)$

$600 \mathrm{mL}$ of a mixture of ${\mathrm{O}}_3$ and ${\mathrm{O}}_2$ weighs $1 \mathrm{g}$ at $\mathrm{NTP}$. Calculate the volume of ozone (in mL) in the mixture. Report your answer in the nearest multiple of 100)

How many moles of ${\mathrm{H}}_2\mathrm{O}$ form when $25.0 \mathrm{mL}$ of $0.10{\mathrm{MHNO}}_3$ solution is completely neutralised by $\mathrm{NaOH}$?

The enzyme carbonic anhydrase catalyses the hydration of ${\mathrm{CO}}_2$. This reaction: ${\mathrm{CO}}_2+{\mathrm{H}}_2\mathrm{O}\to {\mathrm{H}}_2{\mathrm{CO}}_3$ is involved in the transfer of ${\mathrm{CO}}_2$ from tissues to the lungs via the bloodstream. One enzyme molecule hydrates ${10}^6$ molecules of ${\mathrm{CO}}_2$ per second. How many kg of ${\mathrm{CO}}_2$ are hydrated in one hour in one litre by $1\times {10}^{-6} \mathrm{M} \mathrm{enzyme}?$

An oxybromo compound, ${\mathrm{KBrO}}_x,$ where $x$ is unknown, is analysed and found to contain $52.92\% \mathrm{Br}.$ What is the value of $x$?

Radium disintegrates at an average rate of $2.24\times {10}^{13}$ $\mathrm{\alpha }-$particles per minute. Each $\mathrm{\alpha }-$particle takes up two electrons from the air and becomes a neutral helium atom. After $420$ days, helium gas collected was $0.5 \mathrm{mL}$, measured at $27°\mathrm{C}$ and $750 \mathrm{mmHg}$. Calculate the Avogadro's constant.