The enthalpy of combustion of glucose (molecular weight = 180 g mol$^{-1}$) is $-2840$ kJ mol$^{-1}$. Then the amount of heat evolved when $0.9$ g of glucose is burnt, will be}
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Always convert mass into moles before using enthalpy values given per mole. Also, negative enthalpy indicates heat is evolved.
Concept:
Enthalpy of combustion represents the heat released when 1 mole of a substance is completely burnt. The heat released is directly proportional to the number of moles of substance burnt:
\[
q = n \times \Delta H
\]
where $n = \frac{\text{given mass}}{\text{molar mass}}$.
Step 1: Calculate number of moles of glucose.
\[
n = \frac{0.9}{180} = 0.005 \text{ mol}
\]
Step 2: Use enthalpy relation.
\[
\Delta H = -2840 \text{ kJ/mol}
\]
Step 3: Calculate heat evolved.
\[
q = 0.005 \times (-2840) = -14.2 \text{ kJ}
\]
Step 4: Interpretation.
Negative sign indicates heat is released (exothermic reaction). Hence magnitude:
\[
\boxed{14.2 \text{ kJ}}
\]