An electric furnace is supplied with CaO and $,$ in the proportions to form $Ca{C}_2$ :

CaO$+3C=CO+Ca{C}_2.$

It produces $0\mathrm{.}25kg.$ of $(aC{C}_2$ per kilowatt$-$hour. The $(a^{\text{'}}{C}_2$ reacts with $H_{2}O$ according to the reaction

Required: $1.$ The minimum power to produce $1$ ton of per hour.

$2.$ The electrothermal energy efficiency of the furnace operation.

$3.$ If $100g.$ of $Ca{C}_2$ is treated with $10kg.$ of cold $H_{2}O,$ how many calories will be set free, and how many degrees rise of temperature will result?

$101.$ a$.$ Calculate the heat content $($above $0C.)$ of $15kg.$ of tin $($a$)$ solid, just at the melting point; $(b)$ molten, just at the melting point; $(c)$ at a temperature of $1200C.$

b$.$ Calculate the heat content $($above $0C.)$ of $1$mol of silicon vapor at $3700C.($the temperature of the electric arc between carbon electrodes$).$

$102.$ A coal$-$burning furnace was use of $475$melting copper cathodes and required $7hr.$ to melt $160$ metric tons of copper. The calorific power of the coal used was $5\mathrm{.}952$ Cal ner kilogram. There was used $250kg.$ of coal ner ton of conper melted.