two systems, one with 50.0 g of aluminum and the other 100.0 g of aluminum, are initially at 35.0°c. over a…

two systems, one with 50.0 g of aluminum and the other 100.0 g of aluminum, are initially at 35.0°c. over a period of ten minutes, heat is added to each system and the final temperatures are both 45.0°c. compare the heat added to each system. the heat added is the same for each system. the heat added is greater for the 50.0 g al system. the heat added is greater for the 100.0 g al system. the heat cannot be interpreted from this information.

two systems, one with 50.0 g of aluminum and the other 100.0 g of aluminum, are initially at 35.0°c. over a period of ten minutes, heat is added to each system and the final temperatures are both 45.0°c. compare the heat added to each system. the heat added is the same for each system. the heat added is greater for the 50.0 g al system. the heat added is greater for the 100.0 g al system. the heat cannot be interpreted from this information.

Answer

Explanation:

Step1: Recall the heat formula

The formula for heat ((q)) is (q = mc\Delta T), where (m) is mass, (c) is specific heat capacity, and (\Delta T) is the change in temperature.

Step2: Analyze the variables

Both systems are aluminum, so (c) (specific heat of Al) is the same. Initial temperature ((T_i = 35.0^\circ\text{C})) and final temperature ((T_f = 45.0^\circ\text{C})) are the same for both, so (\Delta T = T_f - T_i = 45.0 - 35.0 = 10.0^\circ\text{C}) is the same. Masses are (m_1 = 50.0,\text{g}) and (m_2 = 100.0,\text{g}), with (m_2 > m_1).

Step3: Compare heat added

Since (q \propto m) (when (c) and (\Delta T) are constant), the system with more mass ((100.0,\text{g}) Al) will have more heat added. So (q_{100} > q_{50}).

Answer:

The heat added is greater for the 100.0 g Al system. (Corresponding option: The heat added is greater for the 100.0 g Al system.)