$9.$ A student drops two metallic objects into a $120-$g steel container holding $150$ g of water at $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ One object is a $200-$g cube of copper that is initially at $\backslash (85^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ and the other is a chunk of aluminum that is initially at $\backslash (5\mathrm{.}0^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ To the surprise of the student, the water reaches a final temperature of $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ precisely where it started. What is the mass of the aluminum chunk?

a$.222$ g

b$.258$ g

c$.280$ g

d$.311$ g

e$.322$ g