Final answer:
It takes 200 J of energy to raise the temperature of 50 g of copper by 10°C. (option D is the correct answer).
Step-by-step explanation:
The amount of energy required to raise the temperature of a substance can be calculated using the formula:
Q=mcΔT
Where:
Q is the heat energy,m is the mass of the substance,c is the specific heat capacity of the substance, ΔT is the temperature change.
For copper, the specific heat capacity (c) is approximately 0.39 J/g°C.
Given:
m=50 g (mass of copper), ΔT=10°C (change in temperature), c=0.39 J/g°C (specific heat capacity of copper).
Substitute these values into the formula:
Q=(50g)×(0.39J/g°C)×(10°C)=200J
This calculation indicates that it takes 200 joules of energy to raise the temperature of 50 grams of copper by 10 degrees Celsius. Specific heat capacity is a crucial factor, reflecting the amount of energy required to change the temperature of a given mass of a substance. In this case, the low specific heat capacity of copper contributes to the relatively modest energy requirement. Therefore, the correct answer is D. 200 J.