SATHEE: Chemical Thermodynamics Question 359

Chemical Thermodynamics Question 359

Question: Calculate the heat produced (in kJ) when 224 g of $C a O$ is completely converted to $C a C O_{3}$ by reaction with $C O_{2}$ at $27^{\circ} C$ in a container of fixed volume.

Given: $Δ H_{f}^{o} (C a C O_{3}, s) = - 1207 k J / m o l;$

$Δ H_{f}^{o} (C a O, s) = -, 635, k J / m o l,$

$Δ H_{f}^{o} (C O_{2}, g) = - 394 k J / m o l;$ [Use $R = 8.3 J K^{- 1} m o l^{- 1}$ ]

Options:

A) $- 702.04 k J$

B) $721.96, k J$

C) $712 k J$

D) $721 k J$

Show Answer

Answer:

Correct Answer: A

Solution:

$C a O (s) + C O_{2} (g) - C a C O_{3} (s)$

$Δ_{f} H^{^{\circ}} = Δ H_{f^{\circ}} (C a C O_{3})$ - $Δ H_{f}^{^{\circ}} (C a O) - Δ H_{f}^{^{\circ}} (C a C O_{2})$

$= - 1207 - (- 635) - (- 394)$

$= - 178 k J / m o l$

$∴ Δ U = Δ H - Δ n_{g} R T$

$Δ U = - 178 (\frac{(- 1) \times 8.3 \times 300}{1000})$

$= - 175.51 k J$

$n_{C a O} = \frac{224}{56} = 4$

$∴ q_{v} = n Δ_{r} U = 4 \times (- 175.51)$

$= - 702.04 k J$

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Chemical Thermodynamics Question 359

Question: Calculate the heat produced (in kJ) when 224 g of CaO is completely converted to CaCO3 by reaction with CO2 at 27∘C in a container of fixed volume.

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Question: Calculate the heat produced (in kJ) when 224 g of $C a O$ is completely converted to $C a C O_{3}$ by reaction with $C O_{2}$ at $27^{\circ} C$ in a container of fixed volume.