Calculate the heat required to raise the temperature of 10kg of copper from 20°C to 30°C (S.H.C. of copper = 400J/kg k).
Let Q rep heat required,den
Given dat. Q=?,DT=(30•c-20•c)=10•c,SHC=400,M=10
Recall dat
Q=cMDt.: 400*10*10=40000j or Q=40kj
56.3
Ah, heat calculations! Are you ready for a hot time? Alrighty then, let's do this!
To calculate the heat required, we'll use the formula:
Q = m * c * ΔT
Where:
Q = Heat required (in joules)
m = Mass of copper (in kilograms) = 10 kg
c = Specific heat capacity of copper (in joules per kilogram per degree Celsius) = 400 J/kg°C
ΔT = Change in temperature = Final temperature - Initial temperature = 30°C - 20°C = 10°C
Now, let's plug in the numbers and work our magic:
Q = 10 kg * 400 J/kg°C * 10°C
Calculating this baby:
Q = 40,000 J
So, you'll need approximately 40,000 joules of heat to raise the temperature of 10kg of copper from 20°C to 30°C.
Remember, always be careful with hot objects, just like my sense of humor!
To calculate the heat required to raise the temperature of a substance, we can use the formula:
Q = m * c * ΔT
Where:
Q = Heat energy (in Joules)
m = Mass of the substance (in kilograms)
c = Specific heat capacity of the substance (in J/kg·K)
ΔT = Change in temperature (in Kelvin or Celsius)
In this case, we are given:
m = 10 kg
c = 400 J/kg·K
ΔT = 30°C - 20°C = 10°C
Note that the temperature difference needs to be in Kelvin for the formula to work. Since the Celsius and Kelvin scales have the same interval, we can convert ΔT by simply adding 273.15.
ΔT = 10°C + 273.15 = 283.15 K
Now we have all the values needed to calculate the heat:
Q = 10 kg * 400 J/kg·K * 283.15 K
To find the product of these three values, multiply the numbers together:
Q = 1132600 J
Therefore, the heat required to raise the temperature of 10kg of copper from 20°C to 30°C is 1,132,600 Joules.