Question

how much energy is needed to raise the temperature of 10 g of brick compared to 10 g of clay, each by 10 °c?
c_clay = 1.38 (j)/(g·°c) c_brick = 0.84 (j)/(g·°c)
the energy required to raise either substances temperature cannot be determined.
the brick requires more energy to increase the temperature.
the clay requires more energy to increase the temperature.
they both require the same amount of energy to raise the temperature.

Explanation:

Step1: Recall the heat formula

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

Step2: Calculate \( Q \) for clay

For clay, \( m = 10\space g \), \( c = 1.38\space \frac{J}{g\cdot^\circ C} \), \( \Delta T = 10^\circ C \).
\( Q_{clay} = 10 \times 1.38 \times 10 = 138\space J \).

Step3: Calculate \( Q \) for brick

For brick, \( m = 10\space g \), \( c = 0.84\space \frac{J}{g\cdot^\circ C} \), \( \Delta T = 10^\circ C \).
\( Q_{brick} = 10 \times 0.84 \times 10 = 84\space J \).

Step4: Compare \( Q_{clay} \) and \( Q_{brick} \)

Since \( 138 > 84 \), clay requires more energy.

Answer:

The clay requires more energy to increase the temperature.