5. Using Avogadro's hypothesis, derive the numerical value for "R", the Ideal Gas Constant. Use any units you like but be sure to include them in your derivation.

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**Educational Resource: Ideal Gas Constant Evaluation**

**Institution: Illinois Central College**
**Course: Chemistry 130**
**Exercise 7 - Page 7**

---

### Laboratory Section: Evaluation of the Ideal Gas Constant (Show Your Work)

1. **Barometric Pressure Correction:**
   - If the barometric pressure in the lab is 752 mm Hg at 25°C and the difference in the levels of solution inside and outside the eudiometer is 18 mm, calculate the pressure of the hydrogen gas in atmospheres. Remember to correct for the water vapor pressure.

2. **Pressure Calculation for a Given Volume:**
   - If 3.10 moles of nitrogen gas are collected in a 35.5-liter container at 20°C, what would be the pressure exerted on the container, in atmospheres?

3. **Partial Pressure Determination:**
   - If a gas collection vessel contains 6.66 grams of CO₂, 9.66 grams of O₂, and 1.40 grams of H₂, and has a total pressure of 860 mm Hg, what is the partial pressure of the hydrogen gas?

4. **Volume of Dry CO₂ Gas:**
   - If 220.0 grams of CO₂ gas are collected over water at 35°C and a total pressure of 790 mm Hg, what volume of dry CO₂ could be obtained?

5. **Derivation of the Ideal Gas Constant (R):**
   - Using Avogadro’s hypothesis, derive the numerical value for “R,” the Ideal Gas Constant. Use any units you like but be sure to include them in your derivation.

---

You are encouraged to show your detailed calculations and reasoning for each problem to enhance your understanding of the Ideal Gas Law and its applications.
Transcribed Image Text:**Educational Resource: Ideal Gas Constant Evaluation** **Institution: Illinois Central College** **Course: Chemistry 130** **Exercise 7 - Page 7** --- ### Laboratory Section: Evaluation of the Ideal Gas Constant (Show Your Work) 1. **Barometric Pressure Correction:** - If the barometric pressure in the lab is 752 mm Hg at 25°C and the difference in the levels of solution inside and outside the eudiometer is 18 mm, calculate the pressure of the hydrogen gas in atmospheres. Remember to correct for the water vapor pressure. 2. **Pressure Calculation for a Given Volume:** - If 3.10 moles of nitrogen gas are collected in a 35.5-liter container at 20°C, what would be the pressure exerted on the container, in atmospheres? 3. **Partial Pressure Determination:** - If a gas collection vessel contains 6.66 grams of CO₂, 9.66 grams of O₂, and 1.40 grams of H₂, and has a total pressure of 860 mm Hg, what is the partial pressure of the hydrogen gas? 4. **Volume of Dry CO₂ Gas:** - If 220.0 grams of CO₂ gas are collected over water at 35°C and a total pressure of 790 mm Hg, what volume of dry CO₂ could be obtained? 5. **Derivation of the Ideal Gas Constant (R):** - Using Avogadro’s hypothesis, derive the numerical value for “R,” the Ideal Gas Constant. Use any units you like but be sure to include them in your derivation. --- You are encouraged to show your detailed calculations and reasoning for each problem to enhance your understanding of the Ideal Gas Law and its applications.
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