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Deriving the Gas Laws Using Computer Simulations

Analysis and observation for Procedure 1:

For the relationship between the pressure and volume, I found that, when we decrease the volume, the pressure would increase and the speed of the gas molecules increase too.

# The mathematical relationship between the pressure and the volume is inversely proportional. The equation that relates pressure and volume to a constant is P1V1=P2V2.

# Due to the proportional relationship between the pressure and volume, we graphed the pressure vs. inverses volume.

# The slope of the line of the pressure vs. inverse volume is 0.0211.

Analysis and observation for Procedure 2:

For the relationship between the volume and temperature, I found that, when we increase the temperature, the volume increase while the pressure is constant after first trial. Also, the speed of the particles increases while increasing the temperature.

Graph 3: show the relationship between the volume and temperature.

#The mathematical relationship between the volume and temperature while the pressure and quantity constant, is proportional.

# The equation that relates volume and temperature to a constant is V1/T1=V2/T2.

# The slope of the line is 0.01813 and it will not be the same due to different volume for each gas.

PROCEDURE 3: Temperature Pressure Relationship:

Analysis and observation for Procedure 3:

For the relationship between the temperature and pressure, I found that, when we increase the temperature, the pressure increase while the volume was constant. Also, the speed of the particles increase as the pressure and it would decrease if we decrease the temperature.

# The mathematical relationship between the pressure and temperature while the volume and quantity are held constant is proportional.

# The slope of the line is 0.0091 and it will not be the same due to different pressure at different pressure.

# The effect of the temperature is while increase the temperature, the speed of particles increase and that due to gain energy.

# The pressure of gas would be zero because there is no motion and the volume will be very small.

PROCEDURE 4: Pressure Quantity Relationship:

Analysis and observation for Procedure 4:

For the pressure quantity relationship, I found that, while increasing the number of gas molecules, the pressure increase and the volume was constant.

Graph 5: Show the relationship between the pressure and quantity.

# The impact of increasing the number of moles of gas is the pressure would be increased and the molecules will collide with each other due to the increasing of the pressure.

# The relationship between the pressure and the number of moles is proportional. So, while increasing the number of moles then the volume of the gas would increase.