Gas Law Problem: Volume Calculation

What is the final volume of oxygen gas when the pressure is lowered and the temperature is raised?

To calculate the final volume of oxygen gas when the pressure is lowered and the temperature is raised, we need the final pressure and temperature. Using the combined gas law (P1⋅V1/T1 = P2⋅V2/T2), we can find the new volume once these values are known. Without the final conditions, the final volume cannot be determined.

Understanding Gas Laws:

Gas laws are fundamental principles in chemistry that describe the behavior of gases under different conditions. The combined gas law is a combination of Boyle's Law, Charles's Law, and Gay-Lussac's Law and it relates the pressure, volume, and temperature of a gas. Combined Gas Law Equation: The combined gas law is expressed as P1⋅V1/T1 = P2⋅V2/T2, where P is pressure, V is volume, and T is temperature in Kelvin. This equation allows us to determine how changes in pressure, volume, and temperature affect each other. Solving for Final Volume: In the given scenario, we have initial values of pressure (P1 = 1.90 atm), volume (V1 = 29.5 L), and temperature (T1 = 335 K). However, without the final pressure (P2) and temperature (T2) values, we cannot calculate the final volume (V2) of the oxygen gas. Need for Final Conditions: For a complete calculation, we would require the final pressure and temperature at which the gas is being subjected. This information is crucial in determining the final volume of the gas according to the combined gas law. Potential Resolutions: If additional data on the final pressure and temperature is provided, we can solve for the final volume using the combined gas law equation. Alternatively, if the question refers to a specific set of conditions (e.g., standard conditions), we can calculate the volume accordingly. In conclusion, understanding gas laws and how they interrelate is essential in solving problems related to gas behavior under varying conditions. The combined gas law serves as a valuable tool in predicting the changes in gas volume when pressure and temperature adjustments are made.
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