A 500 g piece of iron changes 7°C when heat is added. How much heat energy produced this change in temperature? C of iron is 0.450 J/g°C
q (inJoules) = mass Fe x specific heat Fe x delta T
Substitute and solve for q.
Well, that's quite a hot topic! Let's do some math to calculate the heat energy produced.
Given:
Mass of iron = 500 g
Change in temperature = 7°C
Specific heat capacity of iron = 0.450 J/g°C
To calculate the heat energy produced, we can use the formula:
Q = m * c * ΔT
Where:
Q is the heat energy produced,
m is the mass of the iron,
c is the specific heat capacity of iron,
and ΔT is the change in temperature.
So, plugging in the values:
Q = 500 g * 0.450 J/g°C * 7°C
Multiplying these values together gives us the heat energy produced, which is... *drumroll please* ...
1575 J! That's the amount of heat energy produced in this change in temperature. Don't worry, the iron didn't melt or become a hot potato in the process!
To calculate the heat energy produced when the temperature of the iron changes, you can use the formula:
Q = m * C * ΔT
Where:
Q is the heat energy (in Joules),
m is the mass of the iron (in grams),
C is the specific heat capacity of the iron (in J/g°C), and
ΔT is the change in temperature (in °C).
Given:
m = 500 g
C = 0.450 J/g°C
ΔT = 7°C
Substituting these values into the formula, we get:
Q = 500 g * 0.450 J/g°C * 7°C
Q = 1575 J
Therefore, the heat energy produced when the temperature of the iron changes by 7°C is 1575 Joules.
To find the amount of heat energy produced, you can use the formula:
Q = m * C * ΔT
Where:
Q is the heat energy produced
m is the mass of the iron (500 g)
C is the specific heat capacity of iron (0.450 J/g°C)
ΔT is the change in temperature (7°C)
Now, we can plug in the values:
Q = 500 g * 0.450 J/g°C * 7°C
First, multiply the mass and the specific heat capacity:
Q = 225 J/°C * 7°C
Next, multiply the result by the change in temperature:
Q = 1575 J
Therefore, the amount of heat energy produced for this change in temperature is 1575 Joules.