3. A gas occupies a volume of 14.0 L at 455 mm Hg pressure 25 °C. What will be its new volume if the pressure is increased by 50% and the temperature remains constant? P2 Answer

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**Question 3: Volume of a Gas Under Changing Pressure**

A gas occupies a volume of 14.0 L at 455 mm Hg pressure and 25°C. What will be its new volume if the pressure is increased by 50% and the temperature remains constant?

**Solution Approach:**

To solve this problem, we will use Boyle's Law, which states that for a given mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume (P1V1 = P2V2).

1. **Initial Conditions:**
   - Initial Volume (V1) = 14.0 L
   - Initial Pressure (P1) = 455 mm Hg

2. **Final Conditions:**
   - The pressure is increased by 50%, so:
     - Final Pressure (P2) = P1 + 0.5 × P1 = 1.5 × 455 mm Hg = 682.5 mm Hg

3. **Boyle’s Law Equation:**
   - P1V1 = P2V2
   - (455 mm Hg)(14.0 L) = (682.5 mm Hg)V2

4. **Solving for V2:**
   - V2 = (455 mm Hg × 14.0 L) / 682.5 mm Hg

5. **Final Answer:**
   - V2 = (calculate the result and fill in the blank)

Answer: __________
Transcribed Image Text:**Question 3: Volume of a Gas Under Changing Pressure** A gas occupies a volume of 14.0 L at 455 mm Hg pressure and 25°C. What will be its new volume if the pressure is increased by 50% and the temperature remains constant? **Solution Approach:** To solve this problem, we will use Boyle's Law, which states that for a given mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume (P1V1 = P2V2). 1. **Initial Conditions:** - Initial Volume (V1) = 14.0 L - Initial Pressure (P1) = 455 mm Hg 2. **Final Conditions:** - The pressure is increased by 50%, so: - Final Pressure (P2) = P1 + 0.5 × P1 = 1.5 × 455 mm Hg = 682.5 mm Hg 3. **Boyle’s Law Equation:** - P1V1 = P2V2 - (455 mm Hg)(14.0 L) = (682.5 mm Hg)V2 4. **Solving for V2:** - V2 = (455 mm Hg × 14.0 L) / 682.5 mm Hg 5. **Final Answer:** - V2 = (calculate the result and fill in the blank) Answer: __________
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