Question

At what new pressure will 100 mL of a gas at pressure 720 mm occupy volume of 84 mL, keeping temperature constant?

• A. 857.14 mm
• B. 712.14 mm
• C. 816.60 mm
• D. 604.82 mm

Hint:

Boyle's Law is useful when the temperature is constant, as it relates pressure and volume of a gas. Use \( P_1 V_1 = P_2 V_2 \) for calculations.

Answer 1

The Correct Option is A

Step 1: Using Boyle's Law.
Boyle's Law states that for a given amount of gas at constant temperature, the pressure and volume are inversely proportional: \[ P_1 V_1 = P_2 V_2 \] Where: - \( P_1 \) and \( V_1 \) are the initial pressure and volume, - \( P_2 \) and \( V_2 \) are the final pressure and volume. Step 2: Substituting the given values.
We are given: \[ P_1 = 720 \, \text{mm}, \quad V_1 = 100 \, \text{mL}, \quad V_2 = 84 \, \text{mL} \] We need to find \( P_2 \), the final pressure: \[ 720 \times 100 = P_2 \times 84 \] Solving for \( P_2 \): \[ P_2 = \frac{720 \times 100}{84} = 857.14 \, \text{mm} \] Step 3: Conclusion.
The correct answer is (A) 857.14 mm.