In a bizarre experiment devised by a physics teacher and anindustrial arts teacher at a local high school, a cast-iron engineblock of mass m_e with coolant of mass m_c is heated to 100\rm^\circ C ( T_e) in a water bath. The engine block is then quicklysubmerged in an insulated container holding a mass m_w of 1000 {\rmkg} of water, at a temperature T_w of 15\rm ^\circ C, to find themass of the coolant in the engine.
The final temperature T_f of the water, engine, and coolant isfound to be 18\rm ^\circ C after heat from the engine istransferred to the water. The engine coolant used is pure ethyleneglycol \rm C_2 H_6 O_2, which has a specific heat c_c of 2.39\times10^3 \;{\rm J/(kg\cdot ^\circ\! C)}. (Usually you would use a mixof ethylene glycol and water as coolant.) The mass of the engineblock used is 275 {\rm kg} and the specific heat of cast iron c_eis 4.50\times 10^2\; \rm J/(kg\cdot ^\circ\! C). The specific heatof water c_w is 4187 \rm J/(kg\cdot ^\circ\! C) .
Assume that this is a closed, isolated system.
For this experiment, the students were asked to find the mass ofthe coolant. If pure ethylene glycol is used as the coolant, whatis the mass of coolant m_c used in the experiment?
In a bizarre experiment devised by a physics teacher and anindustrial arts teacher at a local high school, a cast-iron engineblock of mass m_e with coolant of mass m_c is heated to 100\rm^\circ C ( T_e) in a water bath. The engine block is then quicklysubmerged in an insulated container holding a mass m_w of 1000 {\rmkg} of water, at a temperature T_w of 15\rm ^\circ C, to find themass of the coolant in the engine.
The final temperature T_f of the water, engine, and coolant isfound to be 18\rm ^\circ C after heat from the engine istransferred to the water. The engine coolant used is pure ethyleneglycol \rm C_2 H_6 O_2, which has a specific heat c_c of 2.39\times10^3 \;{\rm J/(kg\cdot ^\circ\! C)}. (Usually you would use a mixof ethylene glycol and water as coolant.) The mass of the engineblock used is 275 {\rm kg} and the specific heat of cast iron c_eis 4.50\times 10^2\; \rm J/(kg\cdot ^\circ\! C). The specific heatof water c_w is 4187 \rm J/(kg\cdot ^\circ\! C) .
Assume that this is a closed, isolated system.
For this experiment, the students were asked to find the mass ofthe coolant. If pure ethylene glycol is used as the coolant, whatis the mass of coolant m_c used in the experiment?
