Understanding the Combined Gas Law

The combined gas law combines Boyle's Law, Charles' Law, and Gay-Lussac's Law into a single equation:

(P₁V₁)/T₁ = (P₂V₂)/T₂

Where:

* P₁ = Initial pressure

* V₁ = Initial volume

* T₁ = Initial temperature (in Kelvin)

* P₂ = Final pressure

* V₂ = Final volume

* T₂ = Final temperature (in Kelvin)

Solving the Problem

1. Convert Temperatures to Kelvin:

* Initial temperature (T₁): 25.00°C + 273.15 = 298.15 K

* Final temperature (T₂): 26.00°C + 273.15 = 299.15 K

2. Plug the values into the combined gas law equation:

(0.9840 atm * 10.00 ml) / 298.15 K = (P₂ * 7.600 ml) / 299.15 K

3. Solve for P₂ (final pressure):

P₂ = (0.9840 atm * 10.00 ml * 299.15 K) / (298.15 K * 7.600 ml)

P₂ ≈ 1.298 atm

Answer: The final pressure (P₂) after the compression and temperature change is approximately 1.298 atm.