A sample of chlorine gas is placed in a container at constant pressure. The sample is heated until the absolute temperature is doubled. This will also double which of the following?
A. Potential energy
B. Moles
C. Density
D. Number of molecules
E. Volume
Answer (2)
Let's check it:
First, we have this formula
η o ∗ T o P o ∗ V o = η f ∗ T f P f ∗ V f
The pressures are the same so we can cancel, but don't leave and don't enter any mass so, let's check what stay.
T o V o = T f V f
We know that the final temperature is 2 times the initial temperature
so we can write
T f = 2 T o
Replacing
T o V o = 2 T o V f
V o = 2 V f
So
V f = 2 V o
Therefore the volume is doubled.
The volume of chlorine gas will double when the absolute temperature is doubled while keeping the pressure constant. This relationship is derived from the Ideal Gas Law, which indicates that volume is directly proportional to temperature at constant pressure. Therefore, the correct answer is E: Volume.
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