Answer:
The new volume is the same as the initial volume, i.e. 20 mL.
Explanation:
To find the new volume we can use the Ideal gas law:
[tex] PV = nRT [/tex]
Where:
P: is the pressure
V: is the volume
R: is the gas constant
n: is the number of moles
T: is the temperature
Initially, we have:
[tex] \frac{P_{i}V_{i}}{T_{i}} = nR [/tex] (1)
In the final state:
[tex] \frac{P_{f}V_{f}}{T_{f}} = nR [/tex] (2)
By equating equation (1) and (2) we have:
[tex] \frac{P_{i}V_{i}}{T_{i}} = \frac{P_{f}V_{f}}{T_{f}} [/tex]
[tex] \frac{P_{i}V_{i}}{T_{i}} = \frac{2P_{i}V_{f}}{2T_{i}} [/tex]
[tex]V_{f} = \frac{2T_{i}*P_{i}*V_{i}}{T_{i}*2P_{i}}[/tex]
[tex] V_{f} = V_{i} [/tex]
[tex] V_{f} = 20.0 mL [/tex]
Therefore, the new volume is the same as the initial volume, i.e. 20 mL.
I hope it helps you!
