A sample of neon initially has a volume of 4.00 L
at 12 ∘C
. What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if P
and n
do not change?
Part A
Part complete
5.00 L
Express your answer with the appropriate units.
T
=
83.3 ∘C
Previous Answers
All attempts used; correct answer displayed
According to Charles's law, the volume and temperature of a gas are directly proportional:
V1T1=V2T2
where V1
and V2
are the initial and final volumes and T1
and T2
are the initial and final temperatures. Solving for the wanted variable T2
, the gas equation is rearranged and the given values are substituted into the equation. All temperatures in gas equations must be converted to Kelvin temperatures by adding 273 to the Celsius temperature.
T2T2inKelvinT2inKelvin===V2×T1V15.00 L×[12+273]4.00 L356 K
The final temperature is then converted back to Celsius: 356 K−273=83.3 ∘C
.
Part B
Part complete
1150 mL
Express your answer with the appropriate units.
T
=
-191 ∘C
Previous Answers
Correct
According to Charles's law, the volume and temperature of a gas are directly proportional:
V1T1=V2T2
where V1
and V2
are the initial and final volumes and T1
and T2
are the initial and final temperatures. The initial and final volumes are in different units. They must be converted to the same unit before substituting into the Charles's gas law equation. In the example below, the milliliters are converted to liters.
T2T2inKelvin==V2×T1V1[1150mL×1L1000mL]×[12+273]4.00 L
The last step is to convert the temperature back to Celsius by adding 273 to the temperature in kelvins.
Part C
7.50 L
Express your answer with the appropriate units.