It takes 9.00 to raise the temperature of an 8.60 piece of unknown metal from 22 to 25.0. What is the specific heat for the metal?
heat=mass*specificheat*changeintemp
Thanks bob, I've got the formula down, I'm now stuck on the equation. 9J=(8.60g) (X) (3.00 degrees celsius)
How do I solve this equation?
I think i got it. Is the answer 0.348837209?
To find the specific heat of the metal, we can use the formula:
Heat (Q) = mass (m) × specific heat (c) × change in temperature (ΔT)
Given:
Mass of the metal (m) = 8.60 g
Change in temperature (ΔT) = 25.0 °C - 22 °C = 3.0 °C
Heat (Q) = 9.00 cal
Let's substitute these values into the formula and solve for specific heat (c):
Q = mcΔT
9.00 cal = 8.60 g × c × 3.0 °C
Now, rearrange the equation to solve for c:
c = Q / (m × ΔT)
c = 9.00 cal / (8.60 g × 3.0 °C)
Now, let's calculate the specific heat:
c = 0.3488372093 cal/g°C (rounded to 4 decimal places)
Therefore, the specific heat for the metal is approximately 0.349 cal/g°C.