If the SPECIFIC LATENT HEAT of a substance is 200J/kg and the ENERGY ( required for a CHANGE of STATE is 40 what is the MASS m of the substance? [CHECK the UNITS] E 40 m=(E)/(L)=(40)/(200)=0.2kg m L-200-0 E 40 m=(E)/(L)=(40)/(200)=0.2g m=I = L 200 m=(L)/(E)=(200)/(40)=5kg m=E = 40

## Step 1:The specific latent heat ( ) is defined as the amount of heat energy required to change the state of a unit mass of a substance without changing its temperature. The formula relating the energy ( ), mass ( ), and specific latent heat ( ) is given by:### ## Step 2:From the question, we are given and . We need to solve for the mass ( ). Rearranging the formula to solve for gives us:### ## Step 3:Substituting the given values into the formula, we have:### ## Step 4:Performing the division, we get:### ## Step 5:Verify the units. The units of Joules ( ) cancel out, leaving the mass in kilograms ( ).#