Question #542e5
1 Answer
Here's what I got.
Explanation:
The idea here is that the volume of a gas is directly proportional to its temperature when the number of moles of gas and the pressure of the gas are kept constant
In other words, when pressure and the number of moles of gas are kept constant, decreasing the temperature by a factor
In your case, the volume decreased
#"240 mL " -> " 180 mL"#
which implies that the temperature decreased as well
#"270 K " -> " ? K"#
Now, the volume decreased by a factor
#(240 color(red)(cancel(color(black)("mL"))))/(180color(red)(cancel(color(black)("mL")))) = color(blue)(4/3)#
You can thus say that the temperature of the gas decreased by a factor of
#f = "270 K"/"final temperature"#
which means that
#"final temperature" = "270 K"/color(blue)(4/3) = "202.5 K"#
Rounded to two sig figs, the answer will be
#color(darkgreen)(ul(color(black)("final temperature" = 2.0 * 10^2color(white)(.)"K")))#