Mercury has $mp=-38\mathrm{.}8C$ and $bp=356\mathrm{.}6C.$ What, if any, phase changes take place under the following conditions at $1\mathrm{.}0$atm pressure?

$($a$)$ The temperature of a sample is raised from $-30C$ to $365C.$

$($b$)$ The temperature of a sample is lowered from $291K$ to $238K.$

$($c$)$ The temperature of a sample is lowered from $638K$ to $231K.$

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