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/ mc + t1 ?

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. Here's the step-by-step calculation:

1. Q = mc(t2 - t1) (Given formula)
2. Q = 460.000 kJ (Given value)
3. m = 27.300 kg (Given value)
4. c = 0.39 kJ/(kg⋅°C) (Given value)
5. t1 = 35 °C (Given value)
6. t2 is the unknown final temperature.

Now we can substitute the given values into the formula and solve for t2:

460.000 kJ = (27.300 kg)(0.39 kJ/(kg⋅°C))(t2 - 35 °C) (Substituting the values into the equation)

Divide both sides by (27.300 kg)(0.39 kJ/(kg⋅°C)):

t2 - 35 °C = (460.000 kJ) / ((27.300 kg)(0.39 kJ/(kg⋅°C))) (Dividing both sides by (27.300 kg)(0.39 kJ/(kg⋅°C)))

t2 - 35 °C = 19.2052

Add 35 °C to both sides:

t2 = 19.2052 + 35 °C

t2 = 54.2052 °C

So, the final temperature of the copper is approximately 54.2052 °C.

To find the final temperature of the copper, you can use the formula Q = mcΔt. In this case, the given formula Q = mc(t2 - t1) can be rearranged as follows:

Q = mc(t2 - t1)
t2 - t1 = Q/mc
t2 = (Q/mc) + t1

So, the correct formula to find the final temperature of the metal would be:
t2 = (Q/mc) + t1.

Now, let's substitute the given values into the formula:

Q = 460.000 kJ
m = 27.300 kg
c = 0.39 kJ/kg°C
t1 = 35°C

t2 = (460.000 kJ / (27.300 kg * 0.39 kJ/kg°C)) + 35°C

Now, let's calculate the final temperature:

t2 = (460.000 kJ / (10.647 kg°C)) + 35°C
= 43.20°C + 35°C
= 78.20°C

Therefore, the final temperature of the copper is 78.20°C.