Question #194533

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?

Expert's answer

"V_1 = 5.0 \\;L \\\\\n\nT_1 = 205.0 + 273 = 478 \\;K \\\\\n\nP_1 = 350 \\;kPa \\\\\n\nV_2 = 1.7 \\; L \\\\\n\nT_2 = 25 + 273 = 298 \\;K \\\\\n\n\\frac{P_1 \\times V_1}{T_1}= \\frac{P_2 \\times V_2}{T_2} \\\\\n\nP_2 = \\frac{P_1 \\times V_1 \\times T_2}{T_1 \\times V_2} \\\\\n\n= \\frac{350 \\times 5.0 \\times 298}{478 \\times 1.7} \\\\\n\n= 641.7 \\;kPa"

Answer: 641.7 kPa

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