Final answer:
The mass of the water is approximately 110.6 g.
Step-by-step explanation:
To determine the mass of the water, we need to use the equation:
q = mcΔT
Where:
- q is the amount of heat absorbed or released
- m is the mass of the substance
- c is the specific heat capacity of the substance
- ΔT is the change in temperature
In this case, we know that q = 14,378 J, ΔT = 47 - 16 = 31 °C, and the specific heat capacity of water is 4.184 J/g °C. Plugging these values into the equation, we can solve for m:
14,378 J = m imes 4.184 J/g °C imes 31 °C
Simplifying the equation, we have:
14,378 J = 130.024 g imes m
Dividing both sides by 130.024 g, we find that the mass of the water is approximately 110.6 g.