39122.4.33 molar mass 23.4 O. 12=mplar mass of cl₂ = 40.90° d. If 464mL of an ideal gas is at 27°C and 1.05atm, what will be new volume at STP? Gas Law: Solve for the Unknown:

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Please help with 2(d)
## Educational Transcription of Gas Law Calculations

### 1. Conversion Problems for Pressure

**c. Conversion to kPa**
- Convert atm to kPa:
  \[
  0.9899 \, \text{atm} = 0.9899 \, \text{atm} \times \frac{101.325 \, \text{kPa}}{1 \, \text{atm}} = 100.3 \, \text{kPa}
  \]

---

### 2. Gas Law Problems

**With the given information:**

1. **State the gas law that can be used and:**
2. **Solve for the unknown:**

**a. If a 425 mL sample of He gas is cooled from 76°C to 22°C, what is the new volume of the gas?**

- **Gas Law:** Charles's Law
  \[
  \frac{V_1}{T_1} = \frac{V_2}{T_2}
  \]
  
- **Solve for the Unknown:**
  - Initial and final temperatures: 
    \[
    T_1 = 76^\circ C = 76 + 273 = 349 \, \text{K}
    \]
    \[
    T_2 = 22^\circ C = 22 + 273 = 295 \, \text{K}
    \]
  - Volume at initial temperature: \( V_1 = 425 \, \text{mL} \)
  - \[
    V_2 = \frac{425 \, \text{mL} \times 295 \, \text{K}}{349 \, \text{K}} = 359.24 \, \text{mL}
    \]

**b. The new pressure of a gas when it expands to 1.25 L when originally 235 mL and 5.34 atm.**

- **Gas Law:** Boyle's Law
  \[
  P_1V_1 = P_2V_2
  \]

- **Solve for the Unknown:**
  - Initial pressure and volume: \( 235 \, \text{mL} \times 5.34 \, \text{atm} \)
  - Final volume: \( P_2 = \frac{1250}{1250} \times
Transcribed Image Text:## Educational Transcription of Gas Law Calculations ### 1. Conversion Problems for Pressure **c. Conversion to kPa** - Convert atm to kPa: \[ 0.9899 \, \text{atm} = 0.9899 \, \text{atm} \times \frac{101.325 \, \text{kPa}}{1 \, \text{atm}} = 100.3 \, \text{kPa} \] --- ### 2. Gas Law Problems **With the given information:** 1. **State the gas law that can be used and:** 2. **Solve for the unknown:** **a. If a 425 mL sample of He gas is cooled from 76°C to 22°C, what is the new volume of the gas?** - **Gas Law:** Charles's Law \[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \] - **Solve for the Unknown:** - Initial and final temperatures: \[ T_1 = 76^\circ C = 76 + 273 = 349 \, \text{K} \] \[ T_2 = 22^\circ C = 22 + 273 = 295 \, \text{K} \] - Volume at initial temperature: \( V_1 = 425 \, \text{mL} \) - \[ V_2 = \frac{425 \, \text{mL} \times 295 \, \text{K}}{349 \, \text{K}} = 359.24 \, \text{mL} \] **b. The new pressure of a gas when it expands to 1.25 L when originally 235 mL and 5.34 atm.** - **Gas Law:** Boyle's Law \[ P_1V_1 = P_2V_2 \] - **Solve for the Unknown:** - Initial pressure and volume: \( 235 \, \text{mL} \times 5.34 \, \text{atm} \) - Final volume: \( P_2 = \frac{1250}{1250} \times
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