How many joules of heat would be required to heat 0.5 kg of aluminum by 2k?

To calculate the heat required, we can use the formula ( Q = mc\Delta T ), where ( Q ) is the heat in joules, ( m ) is the mass in kg, ( c ) is the specific heat capacity of aluminum (approximately 900 J/kg·K), and ( \Delta T ) is the change in temperature in K. For 0.5 kg of aluminum heated by 2 K, the calculation is ( Q = 0.5 , \text{kg} \times 900 , \text{J/kg·K} \times 2 , \text{K} = 900 , \text{J} ). Therefore, 900 joules of heat would be required.