A gas of volume 100 cc. is kept in a vessel at pressure 104 Pa maintained at temperature 24ºC if now — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

# Solution: Gas Volume Change at Constant Temperature **Given Data:** - Initial volume: $V_1 = 100$ cc - Initial pressure: $P_1 = 10^4$ Pa - Final pressure: $P_2 = 10^5$ Pa - Temperature: constant at 24°C **Step 1: Identify the applicable law** Since temperature is constant, apply **Boyle's Law**: $$P_1V_1 = P_2V_2$$ **Step 2: Substitute values** $$10^4 \times 100 = 10^5 \times V_2$$ **Step 3: Solve for final volume** $$V_2 = \frac{10^4 \times 100}{10^5}$$ $$V_2 = \frac{100}{10} = 10 \text{ cc}$$ **Result:** The volume decreases to **10 cc** **Physical Interpretation:** When pressure increases 10-fold at constant temperature, the volume decreases inversely by a factor of 10 (from 100 cc → 10 cc). This follows the inverse proportionality relationship in Boyle's Law.