-11) Calculate the volume, in liters, occupied by each of the following: a. 2.00 moles of H₂ at 300. K and 1.25 atm. 39.4 L V=MRI 2.00mde X0.0821 (L.atm/ K-mol) x (3000K) P 1.25atm b. 0.425 moles of ammonia gas (NH3) at 0.724 atm and 37°C 6.435 mole PV=nRT = 39,408 139,41 P=1.2 た30 1=2,0

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Can you help me with the number 11 question? Can you explain step by step formula for the ideal gas law? Can you put the formula to plug in the fraction to give the correct answer to the formula?
# Gas Laws: Problem Solving

**Using the Combined Gas Law**

1. **Problem 8:**
   - Initial Conditions: Pressure (\(P_1\)) = 12 atm, Volume (\(V_1\)) = 23 L, Temperature (\(T_1\)) = 200.0 K.
   - Final Conditions: Pressure (\(P_2\)) = 14 atm, Temperature (\(T_2\)) = 300.0 K.
   - Goal: Find the final volume (\(V_2\)).

   **Solution:**
   \[
   \frac{P_1 \cdot V_1}{T_1} = \frac{P_2 \cdot V_2}{T_2}
   \]
   \[
   V_2 = \frac{P_1 \cdot V_1 \cdot T_2}{P_2 \cdot T_1} = \frac{12 \text{ atm} \cdot 23 \text{ L} \cdot 300.0 \text{ K}}{14 \text{ atm} \cdot 200.0 \text{ K}} = 30 \text{ L}
   \]

2. **Problem 9:**
   - Initial Conditions: Volume = 17 L, Pressure = 2.3 atm, Temperature = 299 K.
   - Final Conditions: Pressure = 1.5 atm, Temperature = 350 K.
   - Goal: Find the new volume (\(V_2\)).

   **Solution:**
   \[
   \frac{P_1 \cdot V_1}{T_1} = \frac{P_2 \cdot V_2}{T_2}
   \]
   \[
   V_2 = \frac{P_1 \cdot V_1 \cdot T_2}{P_2 \cdot T_1} = \frac{2.3 \text{ atm} \cdot 17 \text{ L} \cdot 350 \text{ K}}{1.5 \text{ atm} \cdot 299 \text{ K}} = 31 \text{ L}
   \]

**Using the Ideal Gas Law**

1. **Problem 10: Calculate Pressure**
   - **a.
Transcribed Image Text:# Gas Laws: Problem Solving **Using the Combined Gas Law** 1. **Problem 8:** - Initial Conditions: Pressure (\(P_1\)) = 12 atm, Volume (\(V_1\)) = 23 L, Temperature (\(T_1\)) = 200.0 K. - Final Conditions: Pressure (\(P_2\)) = 14 atm, Temperature (\(T_2\)) = 300.0 K. - Goal: Find the final volume (\(V_2\)). **Solution:** \[ \frac{P_1 \cdot V_1}{T_1} = \frac{P_2 \cdot V_2}{T_2} \] \[ V_2 = \frac{P_1 \cdot V_1 \cdot T_2}{P_2 \cdot T_1} = \frac{12 \text{ atm} \cdot 23 \text{ L} \cdot 300.0 \text{ K}}{14 \text{ atm} \cdot 200.0 \text{ K}} = 30 \text{ L} \] 2. **Problem 9:** - Initial Conditions: Volume = 17 L, Pressure = 2.3 atm, Temperature = 299 K. - Final Conditions: Pressure = 1.5 atm, Temperature = 350 K. - Goal: Find the new volume (\(V_2\)). **Solution:** \[ \frac{P_1 \cdot V_1}{T_1} = \frac{P_2 \cdot V_2}{T_2} \] \[ V_2 = \frac{P_1 \cdot V_1 \cdot T_2}{P_2 \cdot T_1} = \frac{2.3 \text{ atm} \cdot 17 \text{ L} \cdot 350 \text{ K}}{1.5 \text{ atm} \cdot 299 \text{ K}} = 31 \text{ L} \] **Using the Ideal Gas Law** 1. **Problem 10: Calculate Pressure** - **a.
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