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 amount of heat needed, we need to use the formula:
q = m * C * ΔT
where:
q = heat (in joules)
m = mass (in grams)
C = specific heat (in J/g∙°C), and
ΔT = change in temperature (in °C).
Given:
m = 550. g
C = 2.03 J/g∙°C
ΔT = 10.0°C - (-15.0°C) = 25.0°C
Plugging in the values:
q = 550. g * 2.03 J/g∙°C * 25.0°C
= 27932.5 J
Therefore, 27,932.5 J of heat is needed to convert 550. g of wood at -15.0°C to 10.0°C.
To calculate the amount of heat needed to convert the temperature of a substance, we can use the formula:
Q = m * C * ΔT
Where:
Q is the amount of heat,
m is the mass of the substance,
C is the specific heat of the substance, and
ΔT is the change in temperature.
Given:
m = 550. g
C = 2.03 J/g∙°C
ΔT = (10.0°C - (-15.0°C)) = 25.0°C (change in temperature)
Substituting the values into the formula, we have:
Q = (550. g) * (2.03 J/g∙°C) * (25.0°C)
Q = 27987.5 J
Therefore, the amount of heat needed to convert 550. g of wood from -15.0°C to 10.0°C is 27,987.5 J.
To find the amount of heat needed, we can use the formula:
q = m * c * ΔT
where:
q = heat energy (in joules)
m = mass of the substance (in grams)
c = specific heat capacity (in J/g∙°C)
ΔT = change in temperature (in °C)
Given:
m = 550. g (mass of wood)
c = 2.03 J/g∙°C (specific heat of wood)
ΔT = 10.0°C - (-15.0°C) = 25.0°C (change in temperature)
Now, we can substitute these values into the formula to find the amount of heat needed:
q = 550. g * 2.03 J/g∙°C * 25.0°C
Calculating the equation, we get:
q = 27962.5 J or 27.96 kJ (rounded to two decimal places)
Therefore, the amount of heat needed to convert 550. g of wood from -15.0°C to 10.0°C is 27.96 kJ.