Answer to Question #194533 in General Chemistry for Valentina

Question

Sulfur hexafluoride, SF6 (g), serves as a chemical insulator. A 5.0 L sample of this gas was collected at 205.0 ° C and 350 kPa. What pressure must be applied to the gas sample to reduce its volume to 1.7 L if the temperature is 25 ° C?

Answer 1

$V_1 = 5.0 \;L \\ T_1 = 205.0 + 273 = 478 \;K \\ P_1 = 350 \;kPa \\ V_2 = 1.7 \; L \\ T_2 = 25 + 273 = 298 \;K \\ \frac{P_1 \times V_1}{T_1}= \frac{P_2 \times V_2}{T_2} \\ P_2 = \frac{P_1 \times V_1 \times T_2}{T_1 \times V_2} \\ = \frac{350 \times 5.0 \times 298}{478 \times 1.7} \\ = 641.7 \;kPa$

Answer: 641.7 kPa