For the water:
(mass H2O x specific heat H2O x (Tfinal-Tinitial)
You have mass, sp.h., Tf and Ti. Substitute and solve for q. Use 4.184 J/g*C for sp.h. H2O
For the vessel:
There are several kinds of stainless steel. You can look it up on the web and I found several, minimum value of 0.490 J/g*C and maximum value of 0.530 J/g*C.
Use the same formula for stainless stell if you wish. I would use an average value of about 0.500 J/g*C, with a mass of 544 g. The delta T for the stainless steel vessel will be the same as you use for water. The vessel will be the same beginning T as the water and will be the same ending T as the water.
Then add q for H2O + q for vessel to find total q.
Calculate the heat that must be supplied to a 544 g stainless steel vessel containing 333 g of water to raise its temperature from 16.4◦C to the boiling point of water 100◦C
**Please help me find the delta T of steel too**
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