${}_c,{}_s$

${}_c,{}_s$

For a slurry consisting of $50wt\%$ ceramic and $50wt\%$ binder solution $($assumed density of polymer plus solvent, $1\mathrm{.}2\frac{g}{c}{m}^3),$ the slurry density is approximately $2\frac{g}{c}{m}^3,$ as stated in the paper.

a$)$ What is the density of the ceramic particles, $,$ in the slurry? $($Hint: Use a $1g$ total mass basis. To convert between weight basis and volume basis, either use physical reasoning, the above equations, or see Sections $4\mathrm{.}4$ and $9\mathrm{.}8$ in Callister, Material Science and Engineering: An Introduction, ${10}^{th}$ ed$.$ for equations.$)$

b$)$ What are the volume fractions of ceramic and binder solution in the slurry?

c$)$ Is it physically reasonable that $1\mathrm{.}2\frac{g}{c}{m}^3?$