Final answer:
The mass of the substance is approximately 0.574 g.
Step-by-step explanation:
The specific heat of a substance is the amount of heat energy needed to raise the temperature of 1 gram of the substance by 1 degree Celsius (or 1 Kelvin). In this case, the specific heat of the substance is given as 75 J/g°C.
To calculate the mass of the substance that drops 23 °C when it loses 980 J of energy, we can use the specific heat equation:
Energy = mass * specific heat * temperature change. Rearranging the equation to solve for mass:
mass = Energy / (specific heat * temperature change).
Substituting the given values:
mass = 980 J / (75 J/g°C * 23 °C).
By performing the calculation, the mass of the substance is found to be approximately 0.574 g.