27.300kg of Copper at 35.000 degrees Celsius receives 460.000kJ of heat. Calculate the final temperature of the metal.
ANS = degrees Celsius
Copper specific heat = 0.39kJ/kg degrees Celsius.
Q = mc (t2 - t1)
Q = 460.000kJ
m = 27.300kg
c = 0.39kJ/kg
t1 = 35 degrees Celsius
t2 = Final temperature
To find the final temperature how would you change the formula?
t2 = Q + t1/ mc ?
Please let me know, I'm a little confused. Thank you.
Q= 460000 J
m = 27.300kg
c = 390 J/kg
t₁ = 35℃
t₂ = Final temperature in ℃
t₂ = Q/mc +t₁ = 460000/27.3•390 + 35 =43.2 +35 = 78.2℃
To find the final temperature, you can rearrange the formula Q = mc(t2 - t1) to solve for t2.
First, let's rearrange the formula:
Q = mc(t2 - t1)
Divide both sides by (mc):
(t2 - t1) = Q / (mc)
Next, add t1 to both sides:
t2 = (Q / (mc)) + t1
Now, substitute the given values into the equation:
Q = 460.000 kJ
m = 27.300 kg
c = 0.39 kJ/kg degrees Celsius
t1 = 35 degrees Celsius
Plug in the values:
t2 = (460.000 kJ / (27.300 kg * 0.39 kJ/kg degrees Celsius)) + 35 degrees Celsius
Now you can simply calculate the value of t2 using the equation:
t2 = (460.000 kJ / (10.647 kg degrees Celsius)) + 35 degrees Celsius
Simplify the calculation:
t2 = 43.20 degrees Celsius
So, the final temperature of the copper would be approximately 43.20 degrees Celsius.