A house is designed to have passive solar energy features. Brickwork is to be incorporated into the interior of the house to act as a heat absorber. Each brick weighs approximately 1.8 kg. The specific heat of the brick is 0.85 J/g • K. how many bricks must br incorporated

1 answer

To determine how many bricks should be incorporated into the house, we need more information about the thermal energy requirements or goals, such as the desired temperature increase, the total energy to be absorbed, or other considerations.

However, I can help you calculate the heat capacity of each brick in joules, which can be used if we have a target temperature increase or total energy requirement.

Steps to Calculate the heat capacity of one brick:

  1. Convert the weight of one brick from kg to g: \[ 1.8 , \text{kg} = 1800 , \text{g} \]

  2. Use the specific heat formula: The formula for calculating heat capacity (Q) is given as: \[ Q = m \cdot c \cdot \Delta T \] where:

    • \( Q \) = heat energy absorbed (in Joules)
    • \( m \) = mass of the brick (in grams)
    • \( c \) = specific heat capacity (in J/g·K)
    • \( \Delta T \) = change in temperature (in °C or K)
  3. Calculate the heat capacity of one brick: For \( \Delta T = 1 , K \): \[ Q = 1800 , \text{g} \times 0.85 , \text{J/g·K} = 1530 , \text{J} \]

Thus, each brick can absorb 1530 J of energy for a temperature change of 1 K.

Example Calculation of Total Bricks Needed:

If you have a specific requirement, such as needing to store a certain amount of heat energy \( Q_{total} \) (in joules), you can use the following formula to calculate how many bricks are needed:

\[ \text{Number of bricks} = \frac{Q_{total}}{Q_{\text{one brick}}} \]

For example, if you require the bricks to absorb 10,000 J of energy:

\[ \text{Number of bricks} = \frac{10000 , \text{J}}{1530 , \text{J}} \approx 6.54 \]

Since you can't use a fraction of a brick, you would round up to 7 bricks.

Summary:

To provide a precise answer on how many bricks are needed, you need the desired heat energy (in Joules) you'd like to store. Then you can use the calculations I've shown to find out the number of bricks required. If you have a specific energy requirement, please provide that information.