Answer:
The reaction is:
C2H5OH (g) C2H4 (g) +H2O (g). ......…....... (1)
Ethanol. Ethene. Water
Given that mass of ethanol taken = 0.2g
Or Moles of ethanol taken in test tube = mass/Molar mass
= 0.2/46.1 (molar mass of Ethanol is 46.1 gram per mole)
= 0.004339 moles of ethanol
A. Now we need to determine the actual number of moles of ethene produced in the experiment
Given that , volume of gas collected = V =0.0854 lit
T= 305 Kelvin Total pressure P is 0.822 atm
Using this data we need to find amount of ethene produced. This can be done by using ideal gas equation.
But for that we need to find vapour pressure of ethene which is given as :
Total Pressure P = VP ethene + VP water.........(2)
Vapour pressure of water is given as 35.7 torr at 305 K.
Convert this to atm ( 1 atm = 760 torr)
Or VP water = 35.7/760
= 0.0469 atm
Put in equation (2)
0.822 = VP ethene + 0.0469
Or VP ethene = 0.7751 atm
Apply ideal gas equation to find number of moles of ethene
PV = nRT
Take R gas constant as 0.08206 L atm/mol•K
0.7751atm * 0.0854 L = n * 0.08206 L atm /mol K * 305 K
0.06619 = n * 25.0283
Or n = 0.002644 moles of ethene produced.
Thus actual number of moles of ethene produced is 0.002644 moles.
ii.that would be produced if the dehydration went to completion
So as per the stoichiometry of the chemical equation.
Theoretically, one mole of Ethanol on complete dehydration gives one mole of ethene as clear from equation 1
But we have taken 0.004339 moles of ethanol in the test tube so, same number of moles of ethene has to be produced if the dehydration went to 100% completion
Thus theoretical yield of ethene : 0.004339 moles
B. Calculating the percentage yield of ethene
percentage yield is given as
= (Actual amount produced/Theoretical yield)* 100
= (0.002644 moles / 0.004339 moles ) * 100
= 60.94 %
Thus the percentage yield of ethene is 60.94 %
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