Copper has a specific heat of 0.387 J/g·°C. How much energy is required to raise the temperature of 215 g of copper from 47.0°C to 164.0°C?
q = mass Cu x specific heat Cu x (Tfinal-Tinitial)
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To calculate the energy required to raise the temperature of copper, you can use the formula:
Q = m * c * ΔT
where:
Q = energy (in joules)
m = mass of copper (in grams)
c = specific heat of copper (in J/g·°C)
ΔT = change in temperature (in °C)
Given:
m = 215 g
c = 0.387 J/g·°C
ΔT = 164.0°C - 47.0°C = 117.0°C
Now, plug in the values into the formula:
Q = 215 g * 0.387 J/g·°C * 117.0°C
Calculating this:
Q = 9940.95 J
Therefore, the energy required to raise the temperature of 215 g of copper from 47.0°C to 164.0°C is 9940.95 joules.
To calculate the amount of energy required to raise the temperature of a substance, we can use the formula:
Q = m * c * ΔT
Where:
Q = amount of energy (in Joules)
m = mass of the substance (in grams)
c = specific heat of the substance (in J/g°C)
ΔT = change in temperature (in °C)
1. First, let's identify the values given in the question:
- Mass of copper (m) = 215 g
- Specific heat of copper (c) = 0.387 J/g°C
- Change in temperature (ΔT) = 164.0 - 47.0 = 117.0°C
2. Substitute the given values into the formula and calculate the amount of energy (Q):
Q = 215 g * 0.387 J/g°C * 117.0°C
Q = 9801.99 J (rounded to four decimal places)
Therefore, the amount of energy required to raise the temperature of 215 g of copper from 47.0°C to 164.0°C is approximately 9801.99 Joules.