A helicopter manufacturer heat-treats rotor blades to increase their strength. Heat-treating involves heating a metal up to a high temperature and then quenching, or cooling, it down
quickly. This is typically done by plunging the metal into water.
A chemical engineer wants to quench a 292 g aluminum rotor blade that is originally at 300°C.
She puts the rotor blade in a tub of water, which is originally at 22°C. While the aluminum blade
is still in the water, the water's temperature finalizes to 50°C.
Additional (necessary!) info: The specific heat capacity of water is 4.18 J/(g°C). The specific heat
capacity of aluminum is 0.900 J/(g°C).
Question: What mass of water (in g) does the chemical engineer need to use? Answer this
question in Claim-Evidence-Reasoning format.