JEE Advanced · Chemistry · 6. Thermodynamics (C)
The standard enthalpies of formation of and glucose (s) at are , and , respectively. The standard enthalpy combustion per gram of glucose at is
- A
- B
- C
- D
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Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Heat of combustion : It is the amount of heat evolved or absorbed (i.e. change in enthalpy) when one mole of the substance is completely burnt in air or oxygen.
Standard enthalpy of combustion of glucose reaction is given as
\(C _6 H _{12} O _{6(s)}+6 O _{2(g)} \rightarrow 6 CO _{2(g)}+6 H _2 O (l)\)
\(\Delta H _{ C }^{ o }=\Sigma_{\text {Product }} \Delta H _{ f }^{ o }-\Sigma_{\text {Reactant }} \Delta H _{ f }^{ o }\)
\(=\{6(-400)+6(-300)\}_{\text {Product }}-\{-1300\) \(\times ~1+6 \times 0\}_{\text {Reactant }}\)
\(=-2400-1800+1300=-2900 kJ mole ^{-1}\)
Molecular mass of glucose \(=72+12+96=180 g /\) mole
\(\Delta H _{ C }^{ o } /\) gram of glucose \(=\frac{-2900}{180}=-16.11 kJ / g\).
Standard enthalpy of combustion of glucose reaction is given as
\(C _6 H _{12} O _{6(s)}+6 O _{2(g)} \rightarrow 6 CO _{2(g)}+6 H _2 O (l)\)
\(\Delta H _{ C }^{ o }=\Sigma_{\text {Product }} \Delta H _{ f }^{ o }-\Sigma_{\text {Reactant }} \Delta H _{ f }^{ o }\)
\(=\{6(-400)+6(-300)\}_{\text {Product }}-\{-1300\) \(\times ~1+6 \times 0\}_{\text {Reactant }}\)
\(=-2400-1800+1300=-2900 kJ mole ^{-1}\)
Molecular mass of glucose \(=72+12+96=180 g /\) mole
\(\Delta H _{ C }^{ o } /\) gram of glucose \(=\frac{-2900}{180}=-16.11 kJ / g\).
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