of an ideal gas at and was compressed to a volume of at . Calculate the approximate final pressure o — States of Matter and Gaseous State Chemistry Question
Question
$30\text{ cm}^3$ of an ideal gas at $2.02\text{ atm}$ and $25^\circ\text{C}$ was compressed to a volume of $15\text{ cm}^3$ at $35^\circ\text{C}$. Calculate the approximate final pressure of the gas.
Answer: A
💡 Solution & Explanation
Using the combined gas law, $P_1V_1/T_1 = P_2V_2/T_2$. Converting temperatures to Kelvin: $T_1 = 298\text{ K}$, $T_2 = 308\text{ K}$. Substituting the values: $(2.02 \times 30) / 298 = (P_2 \times 15) / 308 \implies P_2 = 2.02 \times (30/15) \times (308/298) = 2.02 \times 2 \times 1.0335 \approx 4.18\text{ atm}$.
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