9) A gas takes up a volume of 17 liters, has a pressure of 2.3 atm, and a temperature of 299 K. If I raise the temperature to 350 K and lower the pressure to 1.5 atm, what is the new volume of the gas? Final volume (Va) P,V, Pa Va initial volume (V₁) = 172 initial pressure (P₁) = 2.3 atm Final Pressure (P₂) = 1.5atm T. T 31 I.

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Can you help me with the number 9 question? Can you explain step by step formula for the combined gas law? Can you put the formula to plug in the fraction to give the correct answer to the formula?
**Educational Resource: Gas Law Problem Solving**

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**Gas Law Inequations and Solutions**

This page provides worked examples of problems involving the combined gas law and ideal gas law to help understand and apply these concepts in practical scenarios. Various problems detail initial and final conditions of a gas and stress how changes in pressure, volume, and temperature affect the gas state and calculations.

**Example Problems and Solutions**

---

1. **Initial Conditions and Gas Changes:**

   - **Problem 8:** A gas is initially at 12 atm, occupying 23 L at 2000 K. After raising the pressure to 14 atm and increasing the temperature to 3000 K, you need to find the new volume.
     
       - **Solution:** Applied combined gas law \((P_1 \cdot V_1/T_1 = P_2 \cdot V_2/T_2)\).
       - Calculated volume: **30 L**

2. **Gas Volume and Pressure Change:**

   - **Problem 9:** A gas at 17 L at 2.3 atm with 299 K is changed to 1.5 atm, calculate new volume.
   
      - **Solution:** Adjusted for changes using gas laws.
      - Calculated new volume: **31 L**

3. **Ideal Gas Law Utilization:**

   - **Problem 10a:** Calculate pressure for 250 L of gas containing 2.5 moles at 320 K.
   
      - **Solution:** \( PV = nRT \)
      - Pressure: **0.14 atm**

   - **Problem 10b:** 4.75 L of gas with 0.86 moles at 300 K.
   
      - **Solution:** \( PV = nRT \)
      - Pressure: **4.5 atm**

4. **Volume Calculations under Conditions:**

   - **Problem 11a:** Volume for 2.00 moles of hydrogen at 300 K and 1.25 atm.
   
      - **Solution:** \( PV = nRT \)
      - Volume: **39.4 L**
   
   - **Problem 11b:** 0.425 moles of ammonia at 0.724 atm and 37°C.
   
      - **Solution:** \( PV = nRT \)
      - Volume: **14.9 L**

5. **Mole Determination in Gas Systems:**
Transcribed Image Text:**Educational Resource: Gas Law Problem Solving** --- **Gas Law Inequations and Solutions** This page provides worked examples of problems involving the combined gas law and ideal gas law to help understand and apply these concepts in practical scenarios. Various problems detail initial and final conditions of a gas and stress how changes in pressure, volume, and temperature affect the gas state and calculations. **Example Problems and Solutions** --- 1. **Initial Conditions and Gas Changes:** - **Problem 8:** A gas is initially at 12 atm, occupying 23 L at 2000 K. After raising the pressure to 14 atm and increasing the temperature to 3000 K, you need to find the new volume. - **Solution:** Applied combined gas law \((P_1 \cdot V_1/T_1 = P_2 \cdot V_2/T_2)\). - Calculated volume: **30 L** 2. **Gas Volume and Pressure Change:** - **Problem 9:** A gas at 17 L at 2.3 atm with 299 K is changed to 1.5 atm, calculate new volume. - **Solution:** Adjusted for changes using gas laws. - Calculated new volume: **31 L** 3. **Ideal Gas Law Utilization:** - **Problem 10a:** Calculate pressure for 250 L of gas containing 2.5 moles at 320 K. - **Solution:** \( PV = nRT \) - Pressure: **0.14 atm** - **Problem 10b:** 4.75 L of gas with 0.86 moles at 300 K. - **Solution:** \( PV = nRT \) - Pressure: **4.5 atm** 4. **Volume Calculations under Conditions:** - **Problem 11a:** Volume for 2.00 moles of hydrogen at 300 K and 1.25 atm. - **Solution:** \( PV = nRT \) - Volume: **39.4 L** - **Problem 11b:** 0.425 moles of ammonia at 0.724 atm and 37°C. - **Solution:** \( PV = nRT \) - Volume: **14.9 L** 5. **Mole Determination in Gas Systems:**
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