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Answer :
Initially, the volume of ammonia gas is 93.5 mL, and its pressure is 0.900 atm. Finally, the volume of ammonia gas is 37.9 mL, and we need to determine the final pressure of ammonia gas when the temperature remains constant (pressure-volume relationship is directly proportional at constant temperature).
The relationship between pressure and volume of an ideal gas is given by Boyle’s law. It states that pressure is inversely proportional to volume at constant temperature.
P₁V₁ = P₂V₂Where,P₁ = Initial pressureV₁ = Initial volumeP₂ = Final pressureV₂ = Final volumeLet us substitute the given values,P₁ = 0.900 atmV₁ = 93.5 mLP₂ = UnknownV₂ = 37.9 mLNow, the formula can be rewritten as 0.900 atm x 93.5 mL = P₂ x 37.9 mLThus, we get the final pressure P₂ as 2.20 atm.
Boyle’s law states that pressure and volume are inversely proportional to each other, keeping temperature constant. In other words, if we increase the pressure, the volume will decrease, and if we decrease the pressure, the volume will increase.The relationship between pressure and volume of an ideal gas is given by Boyle’s law. It states that pressure is inversely proportional to volume at constant temperature. Mathematically, the formula is given by:
P₁V₁ = P₂V₂Where,P₁ = Initial pressureV₁ = Initial volumeP₂ = Final pressureV₂ = Final volumeGiven,P₁ = 0.900 atmV₁ = 93.5 mLP₂ = UnknownV₂ = 37.9 mLNow, substituting the values in the formula, we get;0.900 atm x 93.5 mL = P₂ x 37.9 mLHence, the final pressure of the ammonia gas is 2.20 atm.
To summarize, the final pressure of ammonia gas at 0.900 atm of pressure is gradually decreased from 93.5 mL to 37.9 mL is 2.20 atm. The pressure-volume relationship is directly proportional at constant temperature, and this relationship can be used to determine the final pressure.
To know more about Boyle’s law:
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