A piece of copper of mass 0.55 kg is heated from 57oC to 100oC .What is the increase in the internal energy of the copper
specific heat * .55 * (100-57)
To calculate the increase in internal energy, we need to use the specific heat capacity formula:
Q = mcΔT
Where:
Q = heat energy transferred
m = mass of the substance (in this case, copper)
c = specific heat capacity
ΔT = change in temperature
Specific heat capacity for copper is approximately 385 J/kg·°C.
Let's plug in the values:
Q = mcΔT = (0.55 kg)(385 J/kg·°C)(100°C - 57°C)
Calculating the change in internal energy:
Q = (0.55 kg)(385 J/kg·°C)(43°C)
= 8753.75 J
Therefore, the increase in internal energy of the copper is approximately 8753.75 Joules.
To calculate the increase in the internal energy of the copper, we need to use the formula:
ΔU = m * c * ΔT
Where:
ΔU is the change in internal energy
m is the mass of the copper (0.55 kg in this case)
c is the specific heat capacity of copper (which is approximately 387 J/kg·K)
ΔT is the change in temperature (final temperature - initial temperature)
Let's now plug in the values and calculate:
ΔU = (0.55 kg) * (387 J/kg·K) * (100°C - 57°C)
1. Calculate the temperature difference:
ΔT = 100°C - 57°C = 43°C
2. Now, substitute the values into the formula:
ΔU = (0.55 kg) * (387 J/kg·K) * (43°C)
Calculate the final result by multiplying the numbers:
ΔU = 0.55 kg * 387 J/kg·K * 43°C
ΔU = 9021.45 J
Therefore, the increase in the internal energy of the copper is approximately 9021.45 Joules.