For the reaction ${\mathrm{CaCO}}_3\left(\mathrm{s}\right)\rightleftharpoons \mathrm{CaO}\left(\mathrm{s}\right)+{\mathrm{CO}}_2\left(\mathrm{g}\right),K_n=1.16\mathrm{atm}\text{ at }1160\mathrm{K}$ if $20\mathrm{g}\text{ of }{\mathrm{CaCO}}_3\text{ in }10.0\mathrm{L}$  vessel at 1160 K, is taken the fraction of ${\mathrm{CaCO}}_3$ dissociated is 

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