Question

four samples of brass with different masses are left in the sun with an initial temperature of 20 °c. which sample will absorb the most energy if the temperature increases to 75 °c at the end of 1 hour? 25.0 g sample of brass 75.0 g sample of brass 12.0 g sample of brass 50.0 g sample of brass

Explanation:

Step1: Recall the heat formula

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

Step2: Analyze variables

For brass, \( c \) (specific heat) is constant. \( \Delta T = 75^\circ\text{C}- 20^\circ\text{C}= 55^\circ\text{C} \), also constant. So \( Q \) is directly proportional to \( m \) (mass).

Step3: Compare masses

Among 25.0 g, 75.0 g, 12.0 g, 50.0 g, 75.0 g is the largest mass. Larger mass means more heat absorbed (since \( Q \propto m \)).

Answer:

B. 75.0 g sample of brass