Answer to Question #166783 in Molecular Physics | Thermodynamics for Mustapha m bala

Question

the volume of a gas at temperature -73°c and pressure 480mm hg is 1000 cm find the volume of the same gas at pressure 760mm of maccury and 127°c

Answer 1

$T_1 = -73 + 273 = 200 \;K \\ P_1 = 480 \;mmHg \\ = 0.631 \;atm V_1 = 1000 \;cm^3 = 1 \;L \\ T_2 = 127 + 273 = 400 \;K \\ P_2 = 760 \;mmHg = 1 \;atm \\ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \\ V_2 = \frac{P_1 \times V_1 \times T_2}{T_1 \times P_2} \\ = \frac{0.631 \times 1 \times 400}{200 \times 1} \\ = 1.262 \;L = 1262 \;cm^3$