Calculate the decrease in temperature in degree Celsius for 115g of copper that loses 2.54kJ
q = mass Cu x specific heat Cu x delta T.
Substitute and solve for delta T.
2540J/115g*.385J/gC=57.36871824
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To calculate the decrease in temperature, we need to use the specific heat capacity of copper. The specific heat capacity (C) of a substance is the amount of heat energy required to raise the temperature of one gram of that substance by one degree Celsius.
For copper, the specific heat capacity is approximately 0.39 J/g°C. This means that it takes 0.39 joules of energy to raise the temperature of 1 gram of copper by 1 degree Celsius.
Now, let's calculate the decrease in temperature for 115 grams of copper that loses 2.54 kJ of energy:
First, convert the energy lost from kilojoules (kJ) to joules (J):
2.54 kJ = 2.54 x 10^3 J
Next, use the formula:
Energy (J) = mass (g) x specific heat capacity (J/g°C) x temperature change (°C)
Rearrange the formula to find the temperature change:
Temperature change (°C) = Energy (J) / (mass (g) x specific heat capacity (J/g°C))
Substitute the given values into the formula:
Temperature change (°C) = 2.54 x 10^3 J / (115 g x 0.39 J/g°C)
Calculate the temperature change:
Temperature change (°C) = 2.54 x 10^3 J / 44.85 J/°C
Temperature change (°C) ≈ 56.63°C
Therefore, the decrease in temperature for 115g of copper that loses 2.54 kJ of energy is approximately 56.63°C.