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Enthalpy

Enthalpy of c...

Question

Enthalpy of combustion of carbon, hydrogen and $C_{3} H_{8}$ are $x_{1}, x_{2}$ and $x_{3} m o l^{- 1}$ respectively. Estimate the enthalpy of formation of $C_{3} H_{8}$

$x_{3} - x_{1} - x_{2}$

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$x_{3} - 3 x_{1} - 4 x_{2}$

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$3 x_{1} + 4 x_{2} - x_{3}$

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$x_{1} - x_{2} - x_{3}$

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Solution

The correct option is C
$3 x_{1} + 4 x_{2} - x_{3}$

For reaction:

$C_{3} H_{8 (g)} + 5 O_{2} \to 3 C O_{2 (g)} + 4 H_{2} O_{(l),} Δ H = x_{3}$

The relation of enthalpies is given as:
$Δ H_{r} = x_{3} = 3 Δ H_{f} (C O_{2}) + 4 Δ H_{f} (H_{2} O)$
$- Δ H_{f} (C_{3} H_{8}) - 5 Δ H_{f} (O_{2})$
$= 3 x_{1} + 4 x_{2} - Δ H_{f} (C_{3} H_{8}) - 5 \times 0$
or $Δ H_{f} (C_{3} H_{8}) = 3 x_{1} + 4 x_{2} - x_{3}$

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Enthalpy of combustion of carbon, hydrogen and C3H8 are x1,x2 and x3 mol−1 respectively. Estimate the enthalpy of formation of C3H8

The correct option is C 3x1+4x2−x3 For reaction: C3H8(g)+5O2→3CO2(g)+4H2O(l),ΔH=x3 The relation of enthalpies is given as: ΔHr=x3=3ΔHf(CO2)+4ΔHf(H2O) −ΔHf(C3H8)−5ΔHf(O2) =3x1+4x2−ΔHf(C3H8)−5×0 or ΔHf(C3H8)=3x1+4x2−x3

Enthalpy of combustion of carbon, hydrogen and $C_{3} H_{8}$ are $x_{1}, x_{2}$ and $x_{3} m o l^{- 1}$ respectively. Estimate the enthalpy of formation of $C_{3} H_{8}$