Join WhatsApp Icon JEE WhatsApp Group
Question 32

$$C(s) + O_2(g) \to CO_2(g) + 400$$ kJ
$$C(s) + \frac{1}{2}O_2(g) \to CO(g) + 100$$ kJ
When coal of purity 60% is allowed to burn in presence of insufficient oxygen, 60% of carbon is converted into 'CO' and the remaining is converted into '$$CO_2$$'. The heat generated when 0.6 kg of coal is burnt is

We are given: $$C(s) + O_2(g) \to CO_2(g) + 400 \text{ kJ}$$ $$C(s) + \frac{1}{2}O_2(g) \to CO(g) + 100 \text{ kJ}$$

The coal has a purity of 60%, meaning 60% of the coal is carbon. The mass of coal is 0.6 kg = 600 g. So the mass of carbon is $$0.60 \times 600 = 360$$ g. The number of moles of carbon is $$\frac{360}{12} = 30$$ mol.

Now, 60% of the carbon is converted to CO and the remaining 40% is converted to $$CO_2$$.

Moles of C converted to CO: $$0.60 \times 30 = 18$$ mol. Each mole releases 100 kJ, so heat from CO formation = $$18 \times 100 = 1800$$ kJ.

Moles of C converted to $$CO_2$$: $$0.40 \times 30 = 12$$ mol. Each mole releases 400 kJ, so heat from $$CO_2$$ formation = $$12 \times 400 = 4800$$ kJ.

Total heat generated = $$1800 + 4800 = 6600$$ kJ.

Hence, the correct answer is Option D.

Get AI Help

Create a FREE account and get:

  • Free JEE Mains Previous Papers PDF
  • Take JEE Mains paper tests

JEE Quant Questions | JEE Quantitative Ability

JEE DILR Questions | LRDI Questions For JEE

JEE Verbal Ability Questions | VARC Questions For JEE

Free JEE Topicwise Questions

JEE Rotational MotionJEE Units & MeasurementsJEE Atomic StructureJEE GravitationJEE Periodic Table & PeriodicityJEE StatisticsJEE Inverse Trigonometric FunctionsJEE Magnetism & Magnetic MaterialsJEE Sequences & SeriesJEE MatricesJEE Alternating CurrentsJEE Carboxylic AcidsJEE Permutations & CombinationsJEE Work, Energy & PowerJEE Electromagnetic InductionJEE Electronic DevicesJEE d and f-Block ElementsJEE Chemical KineticsJEE Heat TransferJEE Three Dimensional GeometryJEE Magnetic Effects of CurrentJEE Hydrocarbons - AromaticJEE Electromagnetic WavesJEE Aldehydes & KetonesJEE Hydrocarbons - AlkanesJEE Applications of DerivativesJEE EquilibriumJEE Indefinite IntegrationJEE Chemical ThermodynamicsJEE ElectrochemistryJEE ProbabilityJEE BiomoleculesJEE Continuity & DifferentiabilityJEE Kinetic Theory of GasesJEE Vector AlgebraJEE Hydrocarbons - AlkynesJEE Differential EquationsJEE Current & ResistanceJEE Straight LinesJEE WavesJEE Redox ReactionsJEE Hydrocarbons - AlkenesJEE DeterminantsJEE SolutionsJEE Ray OpticsJEE Dual Nature of Matter & RadiationJEE Chemical Bonding & Molecular StructureJEE Complex NumbersJEE Sets, Relations & FunctionsJEE Electric Charges & FieldsJEE Laws of MotionJEE Fluid MechanicsJEE Basic Concepts in ChemistryJEE Trigonometric FunctionsJEE LimitsJEE Laws of ThermodynamicsJEE Kinematics - 2D MotionJEE p-Block Elements (Groups 13-18)JEE Simple Harmonic MotionJEE Electric Potential & CapacitanceJEE Coordination CompoundsJEE JEE 2D GeometryJEE CirclesJEE Definite IntegrationJEE EMF & Circuit AnalysisJEE Surface TensionJEE Atoms & NucleiJEE Laboratory Experiments - XIJEE Number SystemJEE Basic Principles of Organic ChemistryJEE Wave OpticsJEE Quadratic EquationsJEE Alcohols, Phenols & EthersJEE Organic Compounds with HalogensJEE DifferentiationJEE Conic SectionsJEE Nitrogen-Containing CompoundsJEE ElasticityJEE Practical Organic ChemistryJEE Kinematics - 1D MotionJEE Purification & CharacterisationJEE Binomial Theorem
Ask AI