Q.

Two solids A and B having molar masses 200 and 300 react to form another solid C as shown

2A(s)+3B(s)C(s)

If ΔHcombustion  of A, B and C are -200, -300 and -400kj respectively then maximum heat which can be released at constant pressure if total 2600 g of A and B is taken, is given by :

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a

200 KJ

b

450 kJ

c

1800 kJ

d

900 KJ

answer is B.

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Detailed Solution

In the reaction we have,

2A(s)+3B(s)C(s)ΔH=2ΔHcombustion of A(s)+3ΔHcombustion of B(s)  ΔHcombustion of C(s) =2(200)+3(300)(400) =900kJ

Maximum heat will be released when A and B are taken in mole ratio as ratio of their stoichiometric coefficient (i.e., 2 : 3 Let moles of A be 2x and moles of B be 3x

2x×200+3x×300=2600gx=2

Moles of A taken = 4; Moles of B taken = 6 Heat released = 900 x 2 = - 1800 kJ (900 kJ is released when 2 mole of A react with 3 mole of B)

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