The following date was collected from the experiment: 1] weight of the test tube
ID: 787149 • Letter: T
Question
The following date was collected from the experiment:
1] weight of the test tube + KClO3 + MnO2= 23.09g
2] weight of the test tube + contents after reaction= 23.08g
3] weight of oxygen produced= .01g
4] temperature of water= 22.1 degrees Celsius
5] volume of water= 10mL= volume of O2 gas 10mL
6] barometric pressure= 756.92 mm Hg
7] vapor pressure of water= 19.827 mm Hg
Find the following:
(1) Pressure of O2 gas (show calculations)
(2) Gas-law constant, R, from ideal-gas law (show calculations)
(3) R from the van der Waals equation (show calculatiosn)
(4) Accepted value of R_____ (Source of R value)
(5) Uncertainity in R (show calculations)
Explanation / Answer
a) Vapour pressure of water = 19.827 mm Hg
Pressure of O2 gas = (0.01 /32)* (756.92+19.927) = 77.6/32 = 2.425 mm Hg
2) PV = n *R *T
R = 0.0003*10 * *(295.1)/(10^-2) = 8.214 J K ^-1 mol ^-1
3)R value from the vanderwaals equation
(P+a/V^2)*(V- n*b) = n *R *T
R = (P+a/V^2) (V- n *b) /nT = (2.425 )( 10 - 39.4*10^-6 *0.01/32) /(0.01/32)*(395.1K)
R = 8.3 J k^-1 mol ^-1
4) Accepted value of R =8.314 J K^-1 mol^-1
5) Uncertanity in R using ideal gas eqn = 8.314-8.214/8.314 *(100%) = 1.2%
Uncetanity in R using vanderwaals eqn = 8.314 - 8.3/8.314 *(100%) = 0.168 %
This is true because in reality ideal gas deviate a large extent from "IDEAL GAS EQUATION" which while the deviation is less for "VANDERWAALS EQUATION" because it takes into account some of the real gas characteristics .
But till date no gas equation was able to desribe the behaviour of an ideal gas perfectly
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