How many joules of heat are needed to raise the temputure of 10.0 g of aliminum from 22 degree C to 55 degree C, if the specific heat of aluminum is 0.90J/g degree C?
heat= mass*specificheat*changeinTemp
Is that an overpowering math calculation?
To find the amount of heat (in joules) needed to raise the temperature of a substance, we can use the formula:
Q = m * c * ΔT
Where:
Q represents the amount of heat energy (in joules)
m represents the mass of the substance (in grams)
c represents the specific heat capacity of the substance (in J/g°C)
ΔT represents the change in temperature (in °C)
Now, let's plug the given values into the formula:
m = 10.0 g (given)
c = 0.90 J/g°C (given)
ΔT = (55°C - 22°C) = 33°C
Q = (10.0 g) * (0.90 J/g°C) * (33°C)
First, let's multiply the mass (m) and the specific heat capacity (c):
Q = (10.0 g) * (0.90 J/g°C) * 33°C
Q = 297 J/°C
Therefore, 297 joules of heat energy are needed to raise the temperature of 10.0 g of aluminum from 22°C to 55°C.