Question

a chemist carefully measures the amount of heat needed to raise the temperature of a 511.0 g sample of a pure substance from 52.0 c to 63.9 c. the experiment shows that of heat 28.6 kj are needed. what can the chemist report for the specific heat capacity of the substance? be sure your answer has the correct number of significant digits.

Answer 1

The specific heat capacity of the substance is approximately 0.605 J/g·°C.

Step-by-step explanation:

The specific heat capacity of a substance can be calculated using the formula:

Q = mcΔT

Where:

Q is the heat energy (in joules)

m is the mass of the substance (in grams)

c is the specific heat capacity of the substance (in J/g·°C)

ΔT is the change in temperature (in °C)

Given that the mass of the substance is 511.0 g, the change in temperature is 63.9 - 52.0 = 11.9 °C, and the heat energy required is 28.6 kJ (28,600 J), we can substitute these values into the formula to find the specific heat capacity:

28,600 J = (511.0 g) x c x 11.9 °C

Simplifying the equation, we can find the specific heat capacity of the substance to be approximately 0.605 J/g·°C.