QuestionMay 28, 2025

6. A gas occupies 900 mL at a temperature of 27.0^circ C What is the volume at 132.0^circ C

6. A gas occupies 900 mL at a temperature of 27.0^circ C What is the volume at 132.0^circ C
6. A gas occupies 900 mL at a temperature of 27.0^circ C What is the volume at 132.0^circ C

Solution
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Answer

1215 mL Explanation 1. Convert temperatures to Kelvin T_1 = 27.0^{\circ}C + 273.15 = 300.15 \, K, T_2 = 132.0^{\circ}C + 273.15 = 405.15 \, K 2. Apply Charles's Law **V_1/T_1 = V_2/T_2**; Solve for V_2: V_2 = V_1 \cdot (T_2/T_1) 3. Calculate the new volume V_2 = 900 \, mL \cdot (405.15 \, K / 300.15 \, K) = 1215 \, mL

Explanation

1. Convert temperatures to Kelvin<br /> $T_1 = 27.0^{\circ}C + 273.15 = 300.15 \, K$, $T_2 = 132.0^{\circ}C + 273.15 = 405.15 \, K$<br />2. Apply Charles's Law<br /> **$V_1/T_1 = V_2/T_2$**; Solve for $V_2$: $V_2 = V_1 \cdot (T_2/T_1)$<br />3. Calculate the new volume<br /> $V_2 = 900 \, mL \cdot (405.15 \, K / 300.15 \, K) = 1215 \, mL$
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