Answer to Question #262488 in General Chemistry for Pein

Question

The volume of a gas is 275 mL at 740 torrs and 25°C. If the pressure is held constant and the temperature is raised to 100°C, what will be it's new volume

Answer 1

$V_1 = 275 \;mL \\ p_1 = p_2 = 740 \; torrs \\ T_1 = 25+273 = 298 \;K \\ T_2 = 100 + 273 = 373 \;K \\ \frac{p_1V_1}{T_1} = \frac{p_2V_2}{T_2} \\ p = constant \\ \frac{V_1}{T_1} = \frac{V_2}{T_2} \\ V_2 = \frac{V_1T_2}{T_1} \\ V_2 = \frac{275 \times 373}{298} = 344.2 \;mL$

Answer: 344 mL