How to compute how much energy is released in nuclear fusion?

[Mestudyingphysics]

Homework Statement

In a fusion power plant, it is planned to use deuterium and tritium, so that one gets helium and neutrons. How much one gets energy if we have $1\textrm{ kg}$ fuel?

Relevant Equations

$\Delta m=m(_1^2\textrm{H})+m(_1^3\textrm{H})-m(_2^4\textrm{He})-m(_0^1\textrm{n})$

I thought the first step is to compute the loss of mass. $\Delta m=m(_1^2\textrm{H})+m(_1^3\textrm{H})-m(_2^4\textrm{He})-m(_0^1\textrm{n})=2.0141018u+3.0160493u- 4.0026033u-1.0086650u=0.0188828u$. The corresponding reaction energy is $0.0188828 \cdot 931,5MeV=17.54MeV\approx 2.81\cdot 10^{-12}J$. But the answer is about $3.4\cdot 10^{14}\textrm{ J}$. What is my mistake?

 

[mjc123]

If the energy per reaction is 2.81e-12 J, what is the energy per kg?