Question

Granite has a specific heat of 0.803 J/g∙°C. What mass, in kilograms (kg), of granite is needed to store 150,000 J of heat if the temperature of the granite is to be increased by 15.5°C?

Answer 1

The mass of granite needed is 12.42 kg.

Step-by-step explanation:

To calculate the mass of granite needed to store 150,000 J of heat and increase its temperature by 15.5°C, we can use the formula:

q = m * c * ∆T

Where:

• q is the heat energy
• m is the mass of the substance
• c is the specific heat capacity
• ∆T is the change in temperature

Rearranging the formula, we get:

m = q / (c * ∆T)

Substituting the given values into the formula:

m = 150,000 J / (0.803 J/g∙°C * 15.5°C) = 12,423.31 g = 12.42 kg (rounded to two decimal places).