Initial Pressure = P₁ = 0.930 atm
Final Pressure = P₂ = ?
Initial Volume = V₁= 96.2 mL
Final Volume = V₂ = 44.7 mL
Temperature = constant
If we consider that ammonia as an Ideal Gas, and since the temperature is constant we can apply Boyle's Law. It says that at constant temperature:
P₁ * V₁ = P₂ * V₂
If we divide at both sides by V₂:
P₁* V₁ / V₂ = P₂ * V₂ / V₂
On the right side we can cancel V₂ and we get:
P₁* V₁ / V₂ = P₂
P₂ = P₁* V₁ / V₂
Replacing by the values that we were given:
P2 = 0.930 atm * 96.2 mL / (44.7 mL)
P2 = 2.00 atm
So the final pressure is 2.00 atm