+91-87964 74404
FlagBACK
Question icon
Grade upto college level Physical Chemistry

A mixture of ethane (C2H6) and ethane (C2H4) occupies 40 litres at 1.00 atm and at 400 K. the mixture reacts completely with 130 g of O2 and H2O. Assuming ideal gas behaviors, calculate the mole fractions of C2H­2 and C2H6 in the mixture.

Profile image of Amit Saxena
12 Years agoGrade upto college level
Answers icon

1 Answer

Profile image of Navjyot Kalra
12 Years ago
Let the volume of ethane in mixture = x litre
∴ Volume of ethane = (40 - x) litre
Combustion reactions f ethane and ethane are :
(i) C2H6(g) + 3 1/2 O2 (g) → 2CO2 (g) + 3H2O(l)
or 2C2H6(g) → 4CO2(g) + 6H2O(l)
(ii) C2H4(g) + 3O2(g) → 2CO2 (g) + 2H2O(l)
Volume of O2 required for complete combustion of ethane
= 7x/2 [For x litres]
Volume of O2 required for complete combustion of ethane
= (40 - x) * 3 [For (40 - x)L]
∴ Total volume of O2 required = 7x/2 + (40 - x)3 l
Calculation of number of moles (n),
P = 1 atm, V = 7x/2 + (40 - x)3 l ; R = 0.082 l atm K-1 mol-1;
T = 400 K
Since n = PV/RT = 1*[7x/2 +(40 - x)3]/0.082 *400 = 7x +(40 -x)6/2 *0.082 *400
Mass of n moles of O2 [7x +(40 -x)6 2 * 0.082 * 400] * 32 = 130
or 130 = [7x +6 240 – 6x/65.6] * 32
=> 8528 = 32x + 240 * 32 => 32x = 848 => or x = 848/32 = 26.5
Hence mole fraction (%) of ethane = 26.5/40 * 100 = 66.25%
Mole fraction (%) of ethane = 33.75%

Other Related Questions on physical chemistry

question mark
Which of the following aqueous solutions remains neutral after
electrolysis
physical chemistry
0 Answer Available

Last Activity: 3 Years ago

question mark
In the reaction A + 2B ⇌ 2C, if 2 moles of A, 3 moles of B and 2 moles of C are placed in a 2 L flask and
the equilibrium concentration of C is 0.5 mol/L. The equilibrium constant (KC) for the reaction is.....and please tell how you know that the reaction is going forward .. imean how to calculate the reaction quotient ???
 
physical chemistry
1 Answer Available

Last Activity: 3 Years ago

question mark
True or false when an electron in ground state of hydrogen atom is excited with an energy that is greayer than e2-e1 but less than e3-e1 the electron will get excited n=2
physical chemistry
1 Answer Available

Last Activity: 3 Years ago

question mark
18 19 gram mixture of na2co3 and nahco3 on heating gives 2.2 gram CO2 gas find the percent nahco3 (by mass) in mixture
physical chemistry
1 Answer Available

Last Activity: 4 Years ago

question mark
A 100 cm cube solution of sodium carbonate is prepared by dissolving 8.653 g of salt in water the density of solution is 1.0816g per ml what are the molarity and molality of the solution.
 
physical chemistry
1 Answer Available

Last Activity: 4 Years ago