Final answer:
The heat capacity of 1.00 pound of aluminum can be calculated by first converting the mass to grams and then using the specific heat capacity of aluminum. The heat capacity is found to be 408.23 J/°C or 97.60 cal/°C.
Step-by-step explanation:
The question asks to calculate the heat capacity of a sample of aluminum metal in joules and calories per degree. Heat capacity is a measure of the amount of heat required to raise the temperature of a substance by one degree Celsius. For a given mass m of a substance, the heat capacity C can be calculated using the formula C = m × c, where c is the specific heat capacity of the substance.
To solve part (b) from the question, we calculate the heat capacity of 1.00 pound of aluminum metal. First, we convert pounds to grams because the specific heat capacity is often given in units of J/g°C. Since there are approximately 453.592 grams in a pound, we have:
1.00 pound of aluminum = 453.592 g of aluminum
Using the specific heat capacity of aluminum, 0.900 J/g°C, the heat capacity C is:
C = m × c = 453.592 g × 0.900 J/g°C = 408.23 J/°C
To convert joules to calories, we use the conversion factor where 1 calorie = 4.184 joules. Therefore, the heat capacity in calories per degree is:
Calories = joules / 4.184
Calories = 408.23 J/°C / 4.184 = 97.60 cal/°C