A sample of carbon dioxide is heated from 257.9 K to 544.9 K. If the final volume is 2.80 L, what is the initial volume in liters?1.331.071.191.56

Question

asked Sep 15, 2023 214k views

1 Answer

Avi Meir · Answer 1 · 2023-09-21T08:16:14+0000

1.33L

According to Charle's law, the volume of a gas is directly proportional to temperature provided the pressure remains the same. Mathematically;

$\begin{gathered} V\alpha T \\ V=kT \\ k=(V_1)/(T_1)=(V_2)/(T_2) \end{gathered}$

Given the following parameters

Final volume V2 = 2.80L

Initial temperature T1 = 257.9K

Final temperature = 544.9K

Required

Initial volume V1

Substitute the given parameters

$\begin{gathered} V_1=(V_2T_1)/(T_2) \\ V_1=(2.80*257.9)/(544.9) \\ V_1=(722.12)/(544.9) \\ V_1=1.33L \end{gathered}$

Hence the initial volume in litres is 1.33L