# Determining the Ideal Gas Constant

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• Published : April 4, 2012

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Experiment 1 – Determining the Ideal Gas Constant
Introduction:
Finding and balancing equations to find the ideal gas constant using PV=nRT. Using Excel to format and graph various types of data, both given and calculated. The data given for the decomposition of NaHCO3 and Na2CO3 provided the information needed to determine the experimental constant “R” that can then be compared to the textbook definition of “R”. Experimental:

Data was provided as “Experiment 1: Determining the Ideal Gas Constant”, see attachment. An excel spreadsheet was used to enter provided data, calculate conversions and plot a graph showing that data and its trend line. Data for NaHCO3 and Na2CO3 was used. Results and Discussion:

The balanced equations for the decomposition of sodium bicarbonate and sodium carbonate are: 2NaHCO3 (s) Na2O (s) + H2O (g) + 2CO2 (g), Na2CO3 (s) Na2O (s) + CO2 (g) The mole ratios from reactants to gas are 2:3 for NaHCO3 and 1:1 for Na2CO3. These ratios were used in calculating the table and graph below. The information was accurately calculated and recorded in order to make and determine the constant “R”, which in an ideal gas state is 0.08206 . The constant “R” is calculated using this equation: R = = slope, using the known PV=nRT. Other calculations used were: Mass of chemical(g)/Molar Mass(g) = moles, Temperature conversion˚C+273 = K, Pressure conversion Torr/760 = atm, PV=nRT.

Table 1: Compiled Data- Provided and calculated

Chemical UsedVolume (L)Mass of Chemical (g)Moles (n)Total Mole (n)Temperature (*C)Temperature (K)Measured Pressure (Torr)Measured Pressure (atm)nTPV NaHCO32.005.2130.060.09800.001073.003131.24.1299.878.24 84.012.003.2990.040.06825.001098.002021.62.6664.685.32

2.001.9930.020.04825.001098.001238.81.6339.073.26
2.002.0450.020.04825.001098.001239.01.6340.093.26
2.002.0760.020.04815.001088.001261.61.6640.333.32
2.00...