D 8. Calculate the enthalpy change for the following reaction given the information below. Al½(CO3)3(s) → Al,O3(s) + 3CO2(g) The information available to you is: >C(graphite) + O2(g) →'CO2(g) (4Al(s) + 302(g) → 2A1½O3(s) AH = W kJ %3D AH = X kJ %3D 2Al(s) + O2(g) + 3C(graphite) → Al,(CO3)3(s) AH =Y kJ (A) W + X - Y | 0 (B) 3W + X - Y (C) 3W + ¿X +Y O) 3W + X - Y |

Chemistry
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Chapter1: Chemical Foundations
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**Chemistry Practice Problems**

**Problem 8:**
Calculate the enthalpy change for the following reaction given the information below:

\[
\text{Al}_2(\text{CO}_3)_3(s) \rightarrow \text{Al}_2\text{O}_3(s) + 3\text{CO}_2(g)
\]

**Data Available:**
1. \[\text{C(graphite)} + \text{O}_2(g) \rightarrow \text{CO}_2(g)\]
2. \[4\text{Al(s)} + 3\text{O}_2(g) \rightarrow 2\text{Al}_2\text{O}_3(s)\]
3. \[2\text{Al(s)} + 3\text{CO}_2(g) \rightarrow \text{Al}_2(\text{CO}_3)_3(s)\]

- \(\Delta H = W\text{ kJ}\)
- \(\Delta H = X\text{ kJ}\)
- \(\Delta H = Y\text{ kJ}\)

**Options:**
- (A) W + X - Y
- (B) 3W + X - Y
- (C) 3W + \(\frac{1}{2}\)X + Y
- (D) \(\frac{1}{2}\) (3W - X + Y)

**Correct Answer:** B

---

**Problem 9:**
In which of the following isothermal expansions of an ideal gas is the work done by the system the largest? Assume the temperature is the same for all choices.

- (A) An expansion from 1 L to 5 L against an opposing pressure of \( \frac{1}{2} \) atm
- (B) An expansion from 1 L to 5 L against an opposing pressure of 1 atm
- (C) An expansion from 1 L to 5 L against an opposing pressure of 2 atm

**Options:**
- (A) W + X - Y
- (B) 3W + X - Y
- (C) 3W + \(\frac{1}{2}\)X + Y
- (D) \(\frac{1}{2}\) (3W - X + Y)

**Correct Answer:** D

**Note:
Transcribed Image Text:**Chemistry Practice Problems** **Problem 8:** Calculate the enthalpy change for the following reaction given the information below: \[ \text{Al}_2(\text{CO}_3)_3(s) \rightarrow \text{Al}_2\text{O}_3(s) + 3\text{CO}_2(g) \] **Data Available:** 1. \[\text{C(graphite)} + \text{O}_2(g) \rightarrow \text{CO}_2(g)\] 2. \[4\text{Al(s)} + 3\text{O}_2(g) \rightarrow 2\text{Al}_2\text{O}_3(s)\] 3. \[2\text{Al(s)} + 3\text{CO}_2(g) \rightarrow \text{Al}_2(\text{CO}_3)_3(s)\] - \(\Delta H = W\text{ kJ}\) - \(\Delta H = X\text{ kJ}\) - \(\Delta H = Y\text{ kJ}\) **Options:** - (A) W + X - Y - (B) 3W + X - Y - (C) 3W + \(\frac{1}{2}\)X + Y - (D) \(\frac{1}{2}\) (3W - X + Y) **Correct Answer:** B --- **Problem 9:** In which of the following isothermal expansions of an ideal gas is the work done by the system the largest? Assume the temperature is the same for all choices. - (A) An expansion from 1 L to 5 L against an opposing pressure of \( \frac{1}{2} \) atm - (B) An expansion from 1 L to 5 L against an opposing pressure of 1 atm - (C) An expansion from 1 L to 5 L against an opposing pressure of 2 atm **Options:** - (A) W + X - Y - (B) 3W + X - Y - (C) 3W + \(\frac{1}{2}\)X + Y - (D) \(\frac{1}{2}\) (3W - X + Y) **Correct Answer:** D **Note:
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