Answer:
The final temperature is 806.226 degrees celcius.
Explanation:
It is given that initial conditions are as follows,
Initial volume = [tex]425 ml[/tex]
Initial temperature =[tex]- 12 degrees celcius = 261 K[/tex]
Initial pressure =[tex]788 mmHg[/tex]
The final conditions are as follows,
Final volume = [tex]2.4 liters[/tex]
Final pressure = [tex]577 mmHg[/tex]
Final temperature = "T"
Let R be universal gas constant, n be number of moles..
The ideal gas equation, is as follows,
[tex](pressure)(volume) = (number of moles)(R)(temperature)[/tex]
The number of moles remain constant in the process,
so equating initial number of moles = final number of moles , we get
[tex]\frac{(788)(425)(10^{-3}}{261} = \frac{(577)(2.4)}{T}[/tex]
[tex]T = 1079.226 K[/tex] = 806.226 degrees celcius
