An open flask contains air at . To what temperature (in ) should the flask be heated so that exactly — States of Matter and Gaseous State Chemistry Question
Question
An open flask contains air at $27^\circ\text{C}$. To what temperature (in $^\circ\text{C}$) should the flask be heated so that exactly $1/3$ rd of the original volume of air present in it escapes? (Assume atmospheric pressure remains constant and expansion of the flask is negligible).
Answer: 177
💡 Solution & Explanation
Since pressure and volume are constant, $n_1T_1 = n_2T_2$. If $1/3$ rd escapes, $2/3$ rd remains, so $n_2 = (2/3)n_1$. $n_1 \times 300 = (2/3)n_1 \times T_2 \implies T_2 = 300 \times 3/2 = 450\text{ K}$. Converting to Celsius: $450 - 273 = 177^\circ\text{C}$.
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