Academic Subjects
Chemistry
General Chemistry
Gases
Calculating Temperature To Expand Gas From 268 cm3 To 648 cm3

A 268 cm3 sample of an ideal gas at 18°C and 748 Torr pressure is placed in an evacuated container of volume 648 cm3.
To what Celsius temperature must the assembly be heated so that the gas will fill the whole chamber at 748 Torr?

A. 431 °C
B. 597 °C
C. 704 °C
D. 120 °C
E. 324 °C



We're dealing with a gas here, so keeping the Ideal Gas Law

pV = nRT

in mind, is a good idea

We're not interested in the type of gas, i.e. moles (so we don't need R either)
and the pressure remains constant, pV = nRT so we'll end up with

V = T, also called Charles's Law

Since this is the same gas under different conditions,
we want to set up a volume to temperature ratio

Celcius

converting cm3 to L

268 cm3
1 mL / 1 cm3
1 L / 1000 mL
= 0.268 L

648 cm3
1 mL / 1 cm3
1 L / 1000 mL
= 0.648 L


converting °C to K

18°C + 273.15 = 291.15 K

Charles's Law Example

Vinitial / Tinitial
=
Vfinal / Tfinal



plugging in the provided info yields

0.268 L / 291.15 K
=
0.648 L / T



T = 703.97 K

Kelvin


703.97 K - 273.15 = 430.82 °C

Option A is the correct answer