The specific heat of wood is 2.03 J/g∙°C. How much heat is needed to convert 550 g of wood at -15.0°C to 10.0°C?
To calculate the heat required to convert the temperature of wood, you can use the formula:
Q = m * c * ΔT
Where:
Q is the heat required (in Joules)
m is the mass of the wood (in grams)
c is the specific heat capacity of wood (in J/g∙°C)
ΔT is the change in temperature (in °C)
In this case, the mass of the wood (m) is given as 550 grams, the specific heat capacity of wood (c) is given as 2.03 J/g∙°C, and the change in temperature (ΔT) is from -15.0°C to 10.0°C.
To calculate the heat required, we plug in these values into the equation:
Q = 550 g * 2.03 J/g∙°C * (10.0°C - (-15.0°C))
First, let's calculate the change in temperature:
ΔT = 10.0°C - (-15.0°C)
ΔT = 25.0°C
Now, plug in the values:
Q = 550 g * 2.03 J/g∙°C * 25.0°C
Calculating:
Q = 28082.5 J
Therefore, the heat required to convert 550 g of wood from -15.0°C to 10.0°C is 28082.5 Joules.