Answer to Question #297453 in General Chemistry for Gafar

Question

At STP a certain mass of gas occupies a volume of 800 cm cube find the temperature at which the gas occupy 900 cm cube and has a pressure of 675mmhg

Answer 1

Standard Temperature and Pressure (STP) is defined as 0 degrees Celsius and 1 atmosphere of pressure.

$T_1 = 0 = 273 \;K \\ V_1 = 800 \;cm^3 \\ P_1 = 1 \;atm \\ V_2 = 940 \;cm^3$

Let’s use the value of $P_2 = 1520 \;mmHg = 2 \;atm \\$

$\frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \\ T_2 = \frac{T_1 \times P_2 \times V_2}{P_1 \times V_1} \\ = \frac{273 \times 2 \times 940}{1 \times 800} \\ = 641.55 \;K \\ T_2 = 368 \;ºC$