Scientists have engineered a new hydrocarbon fuel that generates 4600 Btu from every fluid ounce that is burned. At room temperature, this fuel has a density of 214 $\displaystyle \frac{\text{lbm}}{\text{ft}^3}$. What is the heating value of this fuel in $\displaystyle \frac{\text{kJ}}{\text{kg}}$?

$\displaystyle \frac{\text{kJ}}{\text{kg}}$