You’ll need 10 g.
of fusion is the needed to melt a certain amount of substance.
In your case you need 334 J of energy to melt 1 g of ice. If you can supply 3.34 kJ of energy you have:
##Q=mL_f## where:
##Q## is the heat you can supply, in this case 3.34 kJ;
##m## is the mass of the substance, our unknown;
##L_f## is the latent heat of fusion of water, 334 J/g.
Rearranging you have:
##m=(Q/L_f)=(3.34*10^3)/334=10g##
Remember
Latent Heat is the energy your substance needs to change its phase (solid -> liquid) and is not used to increase its temperature but to change the “connections” between the particles of the substance making it change from a solid (rigid connections) to a liquid (loose connections).
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