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

223.5K

Explanations:

According to general gas equation

`(P_1V_1)/(T_1)=(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=(P_1V_1T_2)/(P_2V_2) \\ T_1=(1.0*750*298)/(2.0*500) \\ T_1=(223500)/(1000) \\ T_1=223.5K \end{gathered}`

Hence the required initial temperature is 223.5K