Stoichiometry and Stoichiometric Calculations

Calcium carbonate reacts with aqueous $\mathrm{HCl}$ to give ${\mathrm{CaCl}}_2$ and ${\mathrm{CO}}_2$ according to the reaction given below:

${\mathrm{CaCO}}_3\left(\mathrm{s}\right)+2\mathrm{HCl}\left(\mathrm{aq}\right)\to {\mathrm{CaCl}}_2\left(\mathrm{aq}\right)+{\mathrm{CO}}_2\left(\mathrm{g}\right)+{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)$

What mass of ${\mathrm{CaCl}}_2$ will be formed when $250 \mathrm{mL}$ of $0.76 \mathrm{M} \mathrm{HCl}$ reacts with $1000 \mathrm{g}$ of ${\mathrm{CaCO}}_3$? Name the limiting reagent. Calculate the number of moles of ${\mathrm{CaCl}}_2$ formed in the reaction. 

The reactant which is entirely consumed in reaction is known as limiting reagent. In the reaction$2\mathrm{A}+4\mathrm{B}\to 3\mathrm{C}+4\mathrm{D}$. when $5$ moles of A react with $6$ moles of B, then

(i) which is the limiting reagent?

(ii) calculate the amount of C formed.

Hydrogen gas is prepared In the laboratory by reacting dilute $\mathrm{HCl}$ with granulated zinc. Following reaction takes place.

$\mathrm{Zn}+2\mathrm{HCl}\to {\mathrm{ZnCl}}_2+{\mathrm{H}}_2$

Calculate the volume of hydrogen gas liberated at STP when $32.65 \mathrm{g}$ of zinc reacts with $\mathrm{HCl}$. $1 \mathrm{mol}$ of a gas occupies $22.7 \mathrm{L}$volume at STP; atomic mass of $\mathrm{Zn} = 65.3 \mathrm{u}.$

Sulphuric acid reacts with sodium hydroxide as follows :

${\mathrm{H}}_2{\mathrm{SO}}_4+2\mathrm{NaOH}\to {\mathrm{Na}}_2{\mathrm{SO}}_4+2{\mathrm{H}}_2\mathrm{O}$

When $1\mathrm{L}$ of $0.1\mathrm{M}$ sulphuric acid solution is allowed to react with $1\mathrm{L}$ of $0.1\mathrm{M}$ sodium hydroxide solution, the amount of sodium sulphate formed and its molarity in the solution obtained is