# PHYSICS

### Answers

The specific heat of a metal alloy can be determined using the equation: Q = mcΔT where Q is the energy (in joules) that was transferred, m is the mass (in kg) of the metal alloy sample, c is the specific heat (in J/kg°C) of the metal alloy sample, and ΔT is the temperature change (in °C). In the given scenario, we can determine the specific heat by rearranging the equation and solving for c. c = Q / (mcΔT) The energy transferred in this scenario can be determined by taking the difference between the energy gained and lost by the system, or Q = (mcΔT)water + (mcΔT)cup. Using the given data, we can determine the specific heat of the metal as follows: c = [(0.150 kg)(4186 J/kg°C)(20.5°C)] + [(0.200 kg)(900 J/kg°C)(20.5°C)] / [(0.150 kg)(20.5°C)] c = 923.6 J/kg°C