States of Matter and Gaseous StatehardNUMERICAL

At a constant volume, an ideal gas sample exerts a pressure of at . What will be its absolute temperStates of Matter and Gaseous State Chemistry Question

Question

At a constant volume, an ideal gas sample exerts a pressure of $699\text{ mm Hg}$ at $40^\circ\text{C}$. What will be its absolute temperature (in $\text{K}$) if the pressure is increased to standard atmospheric pressure ($760\text{ mm Hg}$)? (Round off to the nearest integer).

Answer: 340

💡 Solution & Explanation

Applying Gay-Lussac's Law ($P_1/T_1 = P_2/T_2$). $T_1 = 40 + 273 = 313\text{ K}$. $699 / 313 = 760 / T_2 \implies T_2 = (760 \times 313) / 699 \approx 340.31\text{ K}$. Rounding to the nearest integer gives 340.

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