An oxygen gas with a volume of 50 mL at a pressure of 1.5 atm . This gas is compressed up to 35 mL volume at constant temperature . Determine the final gas pressure .
To determine the final gas pressure, we can make use of Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. Boyle's Law can be expressed as:
P₁V₁ = P₂V₂
Where:
P₁ = initial pressure of the gas
V₁ = initial volume of the gas
P₂ = final pressure of the gas
V₂ = final volume of the gas
Given:
P₁ = 1.5 atm (initial pressure of the gas)
V₁ = 50 mL (initial volume of the gas)
V₂ = 35 mL (final volume of the gas)
Substituting the given values into the equation, we have:
(1.5 atm)(50 mL) = (P₂)(35 mL)
Now, we can solve for P₂ (the final pressure of the gas):
(1.5 atm)(50 mL) / 35 mL = P₂
= 2.14 atm
Therefore, the final gas pressure is approximately 2.14 atm.