The energy of one mole of photons of radiation of wavelength 300 nm is
(Given : h=6.63×10−34h=6.63\times10^{-34}h=6.63×10−34 J s, NA=6.02×1023 mol−1N_A=6.02\times10^{23}\ \mathrm{mol^{-1}}NA=6.02×1023 mol−1, c=3×108 m s−1c=3\times10^8\ \mathrm{m\,s^{-1}}c=3×108 ms−1)
Official answer: C
Energy per mole. E=NAhcλ=6.02×1023×6.63×10−34×3×108300×10−9≈3.99×105E=N_A\dfrac{hc}\lambda=\dfrac{6.02\times10^{23}\times6.63\times10^{-34}\times3\times10^8}{300\times10^{-9}}\approx3.99\times10^5E=NAλhc=300×10−96.02×1023×6.63×10−34×3×108≈3.99×105 J mol−1^{-1}−1.
So about 399 kJ mol−1^{-1}−1.
(C)