Calculate the heat that must be supplied to a
488 g stainless steel vessel containing 441 g of
water to raise its temperature from 38.7◦C to
the boiling point of water 100◦C.
q = [mass stainless x specific heat stainless x (Tfinal-Tinitial)] + [mass H2O x specific heat H2O x (Tfinal-initial)]
Substitute and solve for q.
You will need to look up the specific heats of stainless and H2O. Tfinal is 10 and Tinitial is 38.7
To calculate the heat that must be supplied to the stainless steel vessel containing water, we need to consider the heat needed to raise the temperature of the stainless steel vessel and the heat needed to raise the temperature of the water.
Step 1: Calculate the heat required to raise the temperature of the stainless steel vessel.
The specific heat capacity of stainless steel is typically around 500 J/(kg·°C).
The mass of the stainless steel vessel is given as 488 g, which is equal to 0.488 kg.
The temperature change for the stainless steel vessel is from 38.7°C to 100°C, resulting in a temperature difference of 100°C - 38.7°C = 61.3°C.
Now, we can calculate the heat required to raise the temperature of the stainless steel vessel using the formula:
Heat (Q) = Mass (m) x Specific Heat Capacity (C) x Temperature Change (ΔT)
Q = 0.488 kg x 500 J/(kg·°C) x 61.3°C
Step 2: Calculate the heat required to raise the temperature of the water.
The specific heat capacity of water is approximately 4,184 J/(kg·°C).
The mass of the water is given as 441 g, which is equal to 0.441 kg.
The temperature change for the water is from 38.7°C to 100°C, resulting in a temperature difference of 100°C - 38.7°C = 61.3°C.
Now, we can calculate the heat required to raise the temperature of the water using the formula:
Q = 0.441 kg x 4184 J/(kg·°C) x 61.3°C
Step 3: Calculate the total heat required.
To find the total heat required to raise the temperature of the stainless steel vessel and the water, we add the two heat values calculated in Step 1 and Step 2:
Total heat required = Heat required for stainless steel + Heat required for water
Total heat required = Q(stainless steel) + Q(water)
Therefore, to calculate the total heat required, you'll need to calculate the heat required for the stainless steel vessel and the water separately, and then add them together.