2.4 ,g coal is burnt in a bomb calorimeter in excess of oxygen at… - Vidyadip

MCQ

$2.4\,g$ coal is burnt in a bomb calorimeter in excess of oxygen at $298\,K$ and $1\,atm$ pressure.The temperature of the calorimeter rises from $298\,K$ to $300\,K$. The enthalpy change during the combustion of coal is $- x\,kJ\,mol ^{-1}$. The value of $x$ is . (Nearest Integer)(Given : Heat capacity of bomb calorimeter $20.0\,kJ$ $K ^{-1}$. Assume coal to be pure carbon)

A
$201$
B
$202$
C
$203$
✓
$200$

✓

Answer

Correct option: D.

$200$

d
$C ( s )+ O _{2}( g ) \rightarrow CO _{2}( g ) ; \Delta H =- x kJ / mole$ $Q = C \Delta T =20\,kJ \times 2$

$40\,kJ$ heat is released for $2.4\,g$ of $C$

For $1\,mole$ ' $C$ ' : $\quad Q =\frac{40}{2.4} \times 12$

$=\frac{400}{24} \times 12=200\,kJ / \text { mole }$

$Q =\Delta E =\Delta H =200\,kJ \left(\because \Delta n _{ g }=0\right)$

$x =200$

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