# What is the mass of the salt required to store heat?

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A tank of Glauber's salt is in a household. Its purpose is to store #2.8 xx 10^9 J# of heat energy, and it can be heated from #22^@C# to #50^@C# . The melting point of the salt is #32 ^@C# and it has a #L_"f"# (specific latent heat of fusion) of #241 (kj)/(kg)# . Its specific heat capacity in solid state is #1066 J/(kj ^@C)# and in liquid state is #1576 J/(kj ^@C)# .

This is all the information given. Please tell me how you get the values and the process to solving it. Thank you.

A tank of Glauber's salt is in a household. Its purpose is to store

This is all the information given. Please tell me how you get the values and the process to solving it. Thank you.

##### 1 Answer

Solve for the mass using the heat equation

#### Explanation:

m = mass

s = specific heat

Q = total heat absorbed =

1) Salt absorbs heat when its temperature rises, i.e. **, #msDeltaT#**

2) While melting, it absorbs heat without temperature change i.e.,

#mL_f# .

Put these two together:

Total heat gained = Heat gained by salt from

Then solve for the mass.