Final answer:
The amount of heat needed to raise the temperature of 400 grams of water from 0.0°C to 15°C is 25110 J, and the amount needed to raise the temperature of 2 grams of water from 0.0°C to 5°C is 41.86 J, using the formula Q = mc∆T.
Step-by-step explanation:
To determine how much heat is needed to raise the temperature of water, we use the formula Q = mc∆T, where Q is the heat energy in Joules, m is the mass of the water in grams, c is the specific heat capacity in J/g°C, and ∆T is the change in temperature in °C.
For the first part of the question:
Mass (m) = 400 g
Change in temperature (∆T) = 15°C - 0°C = 15°C
Specific Heat (c) = 4.186 J/g°C
Using the formula:
Q = (400 g)(4.186 J/g°C)(15°C) = 25110 J
For the second part of the question:
Mass (m) = 2 g
Change in temperature (∆T) = 5°C - 0°C = 5°C
Specific Heat (c) = 4.186 J/g°C
Using the formula:
Q = (2 g)(4.186 J/g°C)(5°C) = 41.86 J