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Question: C2H6 (g) + 3.5 O2 (g) \(\rightarrow\)<!-- -->2CO2 (g) + 3H2O (g) \(\Delta\)Svap (H2O, \(\mathcal{l}...

C2H6 (g) + 3.5 O2 (g) \rightarrow2CO2 (g) + 3H2O (g)

Δ\DeltaSvap (H2O, l\mathcal{l}) = x1cal K-1 (boiling point = T1)

Δ\DeltaHf (H2O, l\mathcal{l}) = x2

Δ\DeltaHf (CO2) = x3

Δ\DeltaHf (C2H6) = x4

Hence, l\mathcal{l}H for the reaction is –

A

2x3 + 3x2 – x4

B

2x3 + 3x2 – x4 + 3x1T1

C

2x3 + 3x2 – x4 – 3x1T1

D

x1T1 + X2 + X3 – x4

Answer

2x3 + 3x2 – x4 + 3x1T1

Explanation

Solution

H2O (l) \longrightarrowH2O (g) Δ\DeltaHvap = Δ\DeltaSvapTB.P. = x1T1

Δ\DeltaHf (H2O,g) = Δ\DeltaHf(H2O,l) + Δ\DeltaHvap = x2 + x1T1

Δ\DeltaHreaction = 2Δ\DeltaHf, (CO2, g) + 3Δ\DeltaHf(H2O, g) – Δ\DeltaHf(C2H6,g)

= 2x3 + 3 (x2 + x1T1) – x4 = 2x3 + 3x2 + 3x1T1 – x4.