Math Problem Statement
Solution
This question is about the ideal gas law, where the gas changes its volume, temperature, and pressure. You can use the combined gas law, which is:
Where:
- = 3.36 atm (initial pressure)
- = 15.0 L (initial volume)
- = 298 K (initial temperature)
- = 6.00 atm (final pressure)
- = 383 K (final temperature)
- = ? (final volume, to be calculated)
Let's solve for :
I'll compute this now.The new volume () of the gas is approximately 10.80 liters.
Would you like more details on this calculation or have any questions?
Here are 5 related questions you might find helpful:
- How does temperature affect the volume of a gas at constant pressure?
- What happens to the volume of a gas if both pressure and temperature increase?
- Can you explain the ideal gas law and its assumptions?
- How do real gases deviate from ideal gas behavior under high pressure or low temperature?
- How would you calculate the amount of gas (in moles) given the volume, pressure, and temperature?
Tip: When using the combined gas law, ensure temperatures are always in Kelvin, as it directly relates to the kinetic energy of particles.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Ideal Gas Law
Algebra
Proportions
Formulas
(P1 * V1) / T1 = (P2 * V2) / T2
V2 = (P1 * V1 * T2) / (P2 * T1)
Theorems
Combined Gas Law
Suitable Grade Level
Grades 10-12
Related Recommendation
Calculate Final Volume of Gas Using Combined Gas Law
Combined Gas Law Problem: Calculating Final Volume of Helium
Van der Waals Equation: Determine CO2 Volume at 490K and 200 atm
Van der Waals Equation - Volume of CO2 Gas at 460K and 100 atm
Calculating Pressure Using the Ideal Gas Law with Volume and Temperature Changes