What is the change in heat q for the aluminum cup in units of J?
Answer:
To calculate the change in heat q for the aluminum cup, we can use the formula:
q = mcΔT
Where:
- q is the heat absorbed or released
- m is the mass of the aluminum cup (31.91 g or 0.03191 kg since 1 g = 0.001 kg)
- c is the specific heat capacity of aluminum (0.903 J/g°C or 903 J/kg°C since 1 J/g°C = 1000 J/kg°C)
- ΔT is the change in temperature (26.1°C - 21.2°C = 4.9°C)
Now, substitute the values into the formula:
q = 0.03191 kg × 903 J/kg°C × 4.9°C
q = 0.03191 kg × 903 J/kg°C × 4.9°C
q = 144.7881 J
Therefore, the change in heat q for the aluminum cup is approximately 144.79 J. This answer is rounded to the correct number of significant figures based on the given data.