Deriving Gas Laws Using Computer Simulation Data Table 1: P ✓ Solved
Deriving Gas Laws Using Computer Simulation Data Table 1: P
Data Table 1: Pressure vs Volume (with constant temperature at 300 K).
Trial Pressure Val (atm), Width (nm), Depth (nm), Height (nm), Volume (nm³):
15.0, 04.0, 8.5
14.0, 04.0, 8.5
13.0, 04.0, 8.5
12.0, 04.0, 8.7
11.0, 04.0, 8.5
10.0, 04.0, 8.4
09.0, 04.0, 8.2
08.0, 04.0, 8.5
07.0, 04.0, 8.5
06.0, 04.0, 8.2
05.0, 04.0, 8.75
Observation: The gas particles condense, move around quicker and at a shorter distance. As length decreases, pressure increases at a higher rate.
Table 2: Temperature vs Volume with constant pressure at 17.5 atm.
Trial Temperature (K), Width (nm), Depth (nm), Height (nm), Volume (nm³):
Initial: 300, 10.0, 04.0, 8.0
Observation: As temperature increases, volume decreases.
Table 3: Temperature vs Pressure with volume held constant at 10.0 nm.
Trial Temperature (K), Pressure (atm), Width (nm), Depth (nm), Height (nm), Volume (nm³):
10.0, 04.0, 8.5
Observation: As we increase the temperature, the pressure increases as well.
Table 4: Pressure vs Quantity and temperature held constant at 300 K.
Trial Pressure (atm), Quantity of gas particles, Temperature (K):
Observation: As pressure is increasing, we notice a significant increase in the quantity of gas particles.
Analysis Procedure
Pressure Volume Relationship:
1. The graph representing the relationship between volume and pressure at constant temperature indicates that the relationship is inverse; as pressure increases, volume decreases.
2. The ideal gas equation is PV=nRT, defining the relationship among pressure, volume, number of moles, ideal gas constant, and temperature. Boyle's law can be expressed as PV=K under constant temperature.
3. For Boyle's Law, the graph of inverse volume to pressure indicates P=1/V.
Volume Temperature Relationship:
1. The graph illustrating the relationship between temperature and volume with constant pressure indicates a direct proportionality; as volume increases, temperature increases.
2. The equation V1/T1 = V2/T2 is used to express this relationship.
3. The slope of the graph (Y=0.568x+33.1) indicates a relationship between these variables with a slope of 0.568.
Temperature Pressure Relationship:
1. The graph representing the relationship between pressure and temperature at a constant volume indicates a direct proportionality; an increase in temperature leads to an increase in pressure.
2. This relationship can be expressed through the rearrangement of the ideal gas law, leading to P1/T1 = P2/T2.
3. The molecular motion of gas particles is directly impacted by temperature changes; increased temperature leads to increased pressure through faster molecular movement.
Pressure Quantity Relationship:
1. The graph shows a direct relationship; as the number of gas particles increases, the pressure increases as well.
2. The graph's slope of 0.116 suggests that pressure and quantity of particles are proportionally related when temperature is held constant.
Conclusion
This analysis exemplifies the relationships between key gas properties through experimental observations and graphing. The derived gas laws — Boyle's Law, Charles's Law, and Avogadro's Law — individually and collectively facilitate understanding how gases behave under varying conditions.
References
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