Question

The equation below can be used to find the specific heat capacity of a substance. What is the specific

heat capacity if it takes 1,000J of energy to heat 25g of this substance by 100°C? Give your answer in
J/kg°C.

Answer 1

The specific heat capacity of the substance is 4000 J/kg°C.

Step-by-step explanation:

The specific heat capacity of a substance is the amount of heat required to raise the temperature of 1 gram of the substance by 1 degree Celsius. To find the specific heat capacity, we can use the equation:

q = m * c * ΔT

Where:

• q is the amount of heat (in joules)
• m is the mass of the substance (in kilograms)
• c is the specific heat capacity (in joules per kilogram per degree Celsius)
• ΔT is the change in temperature (in degrees Celsius)

In this case, we know that q = 1000 J, m = 25 g = 0.025 kg, and ΔT = 100°C. Plugging these values into the equation:

1000 J = 0.025 kg * c * 100°C

Simplifying the equation, we find:

c = 1000 J / (0.025 kg * 100°C)

c = 4000 J/kg°C

Therefore, the specific heat capacity of the substance is 4000 J/kg°C.