The heats of atomisation of methane and ethane are 'x' kJ mol-1 and 'y' kJ mol-1 respectively. The longest wavelength ( ) of light capable of breaking the C-C bond can be expressed in SI unit as :
- NA hc250(y - 6x)
- NA hc (y - 6x4 )-1
- hc1000 ( y - 6x4 )-1
- NA hc250(4y - 6x)
Answer
(4) NA hc250(4y - 6x)
Solution
CH4(g) C(g) + 4H(g); a H = x
BE(C-H) = x4 kJ mol-1
C2H6(g) 2C(g) + 6H(g); a H = y
y = BE(C-C) + 6 x4
BE(C-C) = 4y - 6x4 kJ mol-1
Energy needed to break one C–C bond (in J):
E = (4y - 6x) 10004 NA
= 250(4y - 6x)NA J
E = hc , the longest wavelength is
= hcE = NA hc250(4y - 6x)
Answer: (4)