Which of the following substances has the greater heat capacity?
a. 0.02 g of aluminum
b. 2.00 g of aluminum
c. 20.0 g of aluminum
d. 200 g of aluminum***
please correct me if im wrong
Based on the given options, the substance with the greater heat capacity is d. 200 g of aluminum.
The heat capacity of a substance is defined as the amount of heat energy required to raise the temperature of that substance by a certain amount. In this case, we are comparing the heat capacities of different masses of aluminum.
To determine which substance has the greater heat capacity, we need to consider the specific heat capacity of aluminum. The specific heat capacity (often denoted as c) is the amount of heat energy required to raise the temperature of 1 gram of a substance by 1 degree Celsius.
The specific heat capacity of aluminum is approximately 0.897 J/g°C. This means that it takes 0.897 Joules of heat energy to raise the temperature of 1 gram of aluminum by 1 degree Celsius.
Now, let's calculate the heat capacities of the given aluminum masses:
a. 0.02 g of aluminum:
Heat capacity = 0.02 g * 0.897 J/g°C = 0.01794 J/°C
b. 2.00 g of aluminum:
Heat capacity = 2.00 g * 0.897 J/g°C = 1.794 J/°C
c. 20.0 g of aluminum:
Heat capacity = 20.0 g * 0.897 J/g°C = 17.94 J/°C
d. 200 g of aluminum:
Heat capacity = 200 g * 0.897 J/g°C = 179.4 J/°C
As we can see, the heat capacity increases with increasing mass. Therefore, d. 200 g of aluminum has the greatest heat capacity among the given options.