Answer to Question #281331 in General Chemistry for Jhoy

Question

A sample of nitrogen, N2, occupies 45.0 mL at 27 °C and 600 torr. What pressure will it have if cooled to –73 °C while the volume remains constant?

Answer 1

$V = constant = 45.0 \;mL \\ T_1 = 27+273 = 300 \;K \\ p_1 = 600 \; torr \\ T_2 = -73 + 273 = 200 \;K \\ \frac{p_1}{T_1} = \frac{p_2}{T_2} \\ p_2 = \frac{p_1 T_2}{T_1} \\ = \frac{600 \times 200}{300} = 400 \; torr$

Answer: 400 torr