The efficiency of a heat pump system and the mass of the substance involved do not directly determine the specific heat capacity. The specific heat capacity is a property of the substance itself and represents the amount of heat energy required to raise the temperature of a unit mass of the substance by one degree Celsius (or Kelvin).
If you know the efficiency of a heat pump system and the mass of the substance involved, you can calculate the heat energy transferred by the system. However, you would need additional information to determine the specific heat capacity.
To calculate the heat energy transferred by the heat pump system, you would typically use the following formula:
Q = m * c * ΔT
where: Q is the heat energy transferred (in joules), m is the mass of the substance (in kilograms), c is the specific heat capacity of the substance (in joules per kilogram per degree Celsius or Kelvin), and ΔT is the change in temperature (in degrees Celsius or Kelvin).
If you have the values of Q, m, and ΔT, you can rearrange the formula to solve for the specific heat capacity:
c = Q / (m * ΔT)
However, please note that the efficiency of the heat pump system alone does not provide enough information to directly determine the specific heat capacity. You would need additional data such as the heat energy transferred (Q) or the change in temperature (ΔT) to calculate the specific heat capacity.