The new volume of the gas will remain the same.
Data obtained from the question
- Initial pressure (P₁) = P
- Initial temperature (T₁) = T
- Initial volume (V₁) = V
- New pressure (P₂) = 2P
- New temperature (T₂) = 2T
- New Volume (V₂) =?
How to determine the new volume
The new volume of the gas can be obtained by using the combined gas equation as illustrated below:
P₁V₁ / T₁ = P₂V₂ / T₂
(PV) / T = (2P × V₂) / 2T
Cross multiply
T × 2P × V₂ = PV × 2T
2PT × V₂ = 2PVT
Divide both side by 2PT
V₂ = 2PVT / 2PT
V₂ = V
Thus, the new volume will remain the same
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