Question

Question #46508

Answer 1

`"pressure" = 554` `"torr"`

Explanation:

We're asked to find the original pressure of the gas, given its initial and final temperatures, and the final pressure.

To do this, we can use the Gay-Lussac's law equation:

`(P_1)/(T_1) = (P_2)/(T_2)`

where

• `P_1` is the original pressure (what we're trying to find)

• `T_1` is the original absolute temperature, which must be in Kelvin:

`150` `""^"o""C"` `+ 273 = ul(423color(white)(l)"K"`

• `P_2` is the final pressure (`456` `torr"`)

• `T_2` is the final temperature, which is

`75.0` `""^"o""C"` `+ 273 = ul(348color(white)(l)"K"`

Let's rearrange the equation to solve for the unknown, `P_1`:

`P_1 = (T_1P_2)/(T_2)`

Plugging in known values, we have

`P_1 = ((423cancel("K"))(456color(white)(l)"torr"))/(348cancel("K")) = color(red)(ulbar(|stackrel(" ")(" "554color(white)(l)"torr"" ")|)`