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Q. Match the following:
List-I List-n (At STP)
(A) $10 \, g \, CaCO_3 \xrightarrow [\text{decomposition}]{\Delta}$ (i) $0.224 \, L \, CO_2$
(B) $1.06 \, g \, Na_2 CO_3 \xrightarrow{\text{Excess HCl}}$ (ii) $4.48 \, L \, CO_2$
(C) $2.4 \, g \, C \xrightarrow [\text{combustion}]{Excess \, O_2}$ (iii) $0.448 \, L \, CO_2$
(D) $0.56 \, g \, CO \xrightarrow [\text{combustion}]{\text{Excess} O_2}$ (iv) $2.24 \, L \, CO_2$
(v) $22.4 \, L \, CO_2$

The correct match is

BITSATBITSAT 2008

Solution:

$\because 100 g CaCO _{3}$ on decomposition gives $=22.4 LCO _{2}$
$\therefore 10 g CaCO _{3}$ on decomposition will give
$=\frac{22.4 \times 10}{100} LCO _{2}$
$=2.24 L CO _{2}$
$106\, g\, Na _{2} CO _{3}$ gives $=22.4\, L\,CO _{2}$
$1.06\, g\, Na _{2} CO _{3}$ will give
$=\frac{22.4 \times 1.06}{106} L C O_{2}$
$= 0.224\, L\, C O_{2}$
$12\, g$ carbon on combustion gives $=22.4\, L\,CO _{2}$
$2.4\, g$ carbon on combustion will give
$=\frac{22.4 \times 2.4}{12} LCO _{2}$
$=2 \times 2.24 LCO _{2}$
$=4.48\, L\, CO _{2}$
$56\, g$ carbon monoxide on combustion gives
$=2 \times 22.4\, L\,CO _{2}$
$0.56\, g$ carbon monoxide on combustion will give
$=\frac{2 \times 22.4 \times 0.56}{56} LCO _{2}$
$=0.448\, L\,CO _{2}$