The quantity of heat required to raise the temperature of 500g of copper from 16oc +116oc assuming the specific heat capacity of copper =400j /kgk
Q = C m (T2-T1)
= 400 (.5 kg) (116-16)
note difference in deg K is the same as difference in deg C
= 20,000 Joules
The quantity of heat = 20kj
COULD 20,000J BETHE ANSWER
To calculate the quantity of heat required to raise the temperature of a substance, you need to use the formula:
Q = mcΔT
Where:
Q is the quantity of heat (in joules),
m is the mass of the substance (in kilograms),
c is the specific heat capacity of the substance (in joules per kilogram per degree Celsius), and
ΔT is the change in temperature (in degrees Celsius).
In this case, we want to find the quantity of heat required to raise the temperature of 500g (0.5kg) of copper from 16°C to 116°C assuming the specific heat capacity of copper is 400 J/kgK.
First, calculate the ΔT (change in temperature):
ΔT = Final temperature - Initial temperature
ΔT = 116°C - 16°C = 100°C
Next, substitute the values into the formula:
Q = (m)(c)(ΔT)
Q = (0.5kg)(400 J/kgK)(100°C)
Now, convert the temperature from Celsius to Kelvin since the specific heat capacity is given in joules per kilogram per Kelvin. The conversion formula is: K = °C + 273.15.
ΔT = 100°C + 273.15 = 373.15 K
Now we can calculate the quantity of heat:
Q = (0.5kg)(400 J/kgK)(373.15 K)
Multiply the values:
Q = 74630 J
Therefore, the quantity of heat required to raise the temperature of 500g of copper from 16°C to 116°C is 74630 joules.
Well, we're about to heat things up with some copper! But before we get started, let me make sure I've got this straight. You're asking how much heat we'll need to turn the temperature of 500g of copper from 16°C to 116°C, right? And you've given me the specific heat capacity of copper as 400J/kgK.
Alright, let's crunch the numbers and turn up the heat!
First, let's calculate the change in temperature:
Change in temperature = Final temperature - Initial temperature
Change in temperature = 116°C - 16°C = 100°C
Now, we'll calculate the amount of heat required using the equation:
Q = mcΔT
Q = heat energy
m = mass
c = specific heat capacity
ΔT = change in temperature
Using the given values:
Q = (500g) x (400 J/kgK) x (100°C)
Q = 20,000,000 J
So, it looks like we'll need a whopping 20,000,000 Joules of heat to raise the temperature of that copper. That's enough to make any clown sweat!