Question #4a2ed

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Answer 1 · 2017-05-12T15:53:11

The final temperature is -149 °C.

Since the volume is constant, this is an example of a problem involving Gay-Lussac's Pressure-Temperature Law:

$color(blue)(bar(ul(|color(white)(a/a)p_1/T_1=p_2/T_2color(white)(a/a)|)))" "$

We can rearrange this formula to get

$T_2 = T_1 × p_2/p_1$

Your data are:

$p_1 = "450 mmHg"; T_1 = "15 °C" = "288.15 K"$
$p_2 = "225 mmHg"; T_2 = "?"$

$T_2 = "288.15 K" × (225 color(red)(cancel(color(black)("mmHg"))))/(450 color(red)(cancel(color(black)("mmHg")))) = "144.1 K" = "-129 °C"$