Question

What is the initial temperature of a 750 mL vial at standard pressure if I changed the pressure to 2.0 atm in a 500 mL vial at a temperature of 25C?

Answer 1

Answer:

223.5K

Explanations:

According to general gas equation

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

Given the following parameters

P1 = 1.0 atm (standard pressure)

V1 = 750mL

P2 = 2.0atm

V2 = 500mL

T2 = 25 + 273 = 298K

Substitute the given parameters

$\begin{gathered} T_1=\frac{P_1V_1T_2}{P_2V_2} \\ T_1=\frac{1.0\times750\times298}{2.0\times500} \\ T_1=\frac{223500}{1000} \\ T_1=223.5K \end{gathered}$

Hence the required initial temperature is 223.5K