111k views
2 votes
Known value of aluminum in J(g x degree Celsius):

a) 0.897
b) 0.903
c) 0.902
d) 0.899

User Sudana
by
8.6k points

1 Answer

5 votes

Final answer:

The question involves calculating the energy required to heat aluminum based on its specific heat capacity, which is 0.900 J/g°C or 900 J/kg°C. Using this value, one can calculate the amount of energy for specific temperature changes in aluminum objects.

Step-by-step explanation:

The question revolves around the specific heat capacity of aluminum, which is a material's capacity to absorb heat with respect to its mass and the resultant temperature change. The specific heat capacity for aluminum is provided as 0.900 J/g°C in some contexts, although it is measured in 900 J/kg°C for larger mass scales. Knowing these values, we can calculate the amount of energy required for temperature changes in aluminum objects. For example, to raise the temperature of 2 kg of aluminum by 3 °C, the energy needed can be calculated using the formula Q = m × c × ∆T, where Q is the heat in joules, m is the mass in kilograms, c is the specific heat capacity, and ∆T is the temperature change in degrees Celsius. The correct calculation would be (2 kg) × (900 J/kg°C) × (3°C) = 5400 J or 5.4 kJ.

To calculate the energy required to change the temperature of 2 kg aluminum by 3 °C, we can use the formula:

Energy = mass * specific heat * change in temperature

So, the energy required would be:

Energy = 2 kg * 900 J/kg-°C * 3 °C = 5400 J = 5.4 kJ

Therefore, the correct answer is 5.4 kJ.

User Nine Magics
by
8.5k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.