Heat Of Combustion Of C(s), H2(g) And C2H6(g) Are −x1, −x2 And

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Question

Heat of combustion of C(s), H2(g) and C2H6(g) are −x1, −x2 and −x3 respectively. Hence heat of formation of C2H6(g) is ____________.

Options

• −X3 + 2x1 + 3x2

• −x1 − x2 + x3

• x1 + x2 − x3

• −2x1 − 3x2 + x3

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SolutionShow Solution

Heat of combustion of C(s), H2(g) and C2H6(g) are −x1, −x2 and −x3 respectively. Hence heat of formation of C2H6(g) is −2x1 − 3x2 + x3.

Explanation:

\[\ce{C + O2 -> CO2}\], ΔH1 = −x1 .........(i)

\[\ce{H2 + 1/2O2 -> H2O}\], ΔH2 = −x2 ......(ii)

\[\ce{C2H6 + 7/2O2 -> 2CO2 + 3H2O}\], ΔH3 = −x3 ..........(iii)

Multiply equation (i) by 2 + multiply equation (ii) by 3 − equation (iii)

∴ \[\ce{2C + 3H2 -> C2H6}\]

∴ ΔH = 2ΔH1 + 3ΔH2 − ΔH3

∴ ΔH = −2x1 − 3x2 + x3

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