To prepare nuclear fuel, $\mathrm{U}_{3} \mathrm{O}_{8}(\text { "yellow cake" ) is converted }$ to $\mathrm{UO}_{2}\left(\mathrm{NO}_{3}\right)_{2}$, which is then converted to $\mathrm{UO}_{3}$ and finally UO2. The fuel is enriched (the proportion of the 235U is increased) by a two-step conversion of $\mathrm{UO}_{2}$ into$\mathrm{UF}_{6}$ , a volatile solid, followed by a gaseous-diffusion separation of the 235U and 238U isotopes:

$$\begin{aligned} \mathrm{UO}_{2}(s)+4 \mathrm{HF}(g) & \longrightarrow \mathrm{UF}_{4}(s)+2 \mathrm{H}_{2} \mathrm{O}(g) \\ \mathrm{UF}_{4}(s)+\mathrm{F}_{2}(g) & \longrightarrow \mathrm{UF}_{6}(s) \end{aligned}$$

Calculate $\Delta G^{\circ}$ for the overall process at $85^{\circ} \mathrm{C} :$

## Discussion

## Video Transcript

No transcript available

## Recommended Questions

The standard reduction potential for the reaction $\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+}(a q)+\mathrm{e}^{-} \longrightarrow\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}(a q)$ is about 1.8 $\mathrm{V}$ . The reduction potential for the reaction $\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+}(a q)+\mathrm{e}^{-} \longrightarrow\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{2+}+(a q)$ is $+0.1 \mathrm{V}$ . Calculate the cell potentials to show whether the complex ions, $\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}$ and/or $\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{2+}$ , can be oxidized to the corresponding cobalt(III) complex by oxygen.