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JEE Main 202311 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2023 · 11 April · Morning Shift · Chemistry · Thermodynamics (C)

Solid fuel used in rocket is a mixture of Fe _ 2 O _ 3 and Al (in...

Solid fuel used in rocket is a mixture of Fe2O3{Fe}_{2}{O}_{3}and AlAl (in ratio 1:21: 2). The heat evolved (kJ)( kJ ) per gram of the mixture is _____ (Nearest integer)

Given ΔHf0(Al2O3)=−1700kJmol−1{\Delta H}_{f}^{0}\left({Al}_{2}{O}_{3}\right) = - 1700kJ{mol}^{- 1}

ΔHf0(Fe2O3)=−840kJmol−1{\Delta H}_{f}^{0}\left({Fe}_{2}{O}_{3}\right) = - 840kJ{mol}^{- 1}

Molar mass of Fe,AIFe, AI and OO are 56,2756, 27 and 16gmol–116g{mol}^{– 1} respectively

Correct answer

0

Step-by-step solution

Molten iron can be prepared by alumino thermite process as shown below.

Fe2O3+2Al→2Fe+Al2O3{Fe}_{2}{O}_{3} + 2Al \to 2Fe + {Al}_{2}{O}_{3}

The iron oxide and aluminium metal ratio is 1:21: 2 in the above reaction.

Now, the Enthalpy of the reaction is equal to the difference of enthalpy of formation of products to the enthalpy of formation of reactants.

ΔHreaction0=−1700+(840){\Delta H}_{\text{reaction}}^{0} = - 1700 + ( 840 )

Ratio of Fe2O3{Fe}_{2}{O}_{3} and AlAl

=160:54= 160: 54

=2.96in214gm= 2 . 96in214gmmixture

∴ΔH°1gmmixture=−860214=−4kJ/gram∴ \dfrac{\Delta H °}{1gm\text{mixture}} = \dfrac{- 860}{214} = - 4kJ / gram

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