Task$4$

please only do $4$a and $4$c$($i$)$

A Fiat factory smelting furnace is fuelled with propane gas to melt Aluminium ingots $($shown below$)$

for engine cylinder head manufacturing sjpilar to that shown in the image below. The furnace is

loaded up with $100$ aluminium ingots each of mass $8$ kg $.$

$($a$)$ Calculate the total energy that must be supplied by the furnace to bring the ingots up to

melting point and then to melt the ingots completely. Before being placed in the furnace the

ingots are stored at $5^($@$)$C$.$ Use the data provided below.

$($b$)$ If $50$ kg of propane is used to complete the melting process calculate the efficiency of the

furnace's heat transfer process.

$($c$)$ A standard aluminium ingot is $1400$ mm in length at $20^($@$)$C$.$ When the ingots reach a

temperature of $500^($@$)$C$.$ Calculate:

$($i$)$ the increase in length due to the thermal expansion of an ingot assuming the ingot is

free to expand

$($ii$)$ the induced force in an ingot assuming it has become jammed in the furnace and is

NOT free to expand

Checklist of evidence required: Show full working out calculations in determining what has been

asked in parts a to c above.