The required pressure of the gas is 546 mmHg.
Relation between the volume and pressure of gas is explained through the ideal gas equation PV = nRT, and for the question required equation is:
P₁V₁ = P₂V₂, where
P₁ & V₁ are the initial pressure and volume.
P₂ & V₂ are the final pressure and volume.
On putting values from the question to the equation, we get
P₂ = (780)(350) / (500) =
P₂ = 546 mmHg
Hence required pressure is 546 mmHg.
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