You are given 50.0g of an unknown metal. You apply 6.00 x103J of energy to
the metal, raising its temperature from 25.0°C to 955.0°C. What is the specific heat of the metal?
q = mass metal x specific heat metal x (Tfinal-Tinitial)
6000 J = 50.0 x specific heat metal x (955.0 - 25.0)
Solve for specific heat metal. Post your work if you get stuck.
how would i find the specific heat of the metal?
do i subtract 955.0 by 25.0?
I believe you need a course in algebra.
Yes, the first step is to subtract 955.0 - 25.0 = 930.0
6000 J = 50.0 x specific heat metal x (955.0 - 25.0)
6000 = 50 x sp.h. x 930.0
6000 = 46,500 x sp.h.
sp.h. is the unknown. Solve for that.
To find the specific heat of the metal, you need to use the formula:
Q = mcΔT
Where:
Q = heat energy (in joules)
m = mass of the metal (in grams)
c = specific heat of the metal (in J/g°C)
ΔT = change in temperature (in °C)
In this case, you are given:
Q = 6.00 x 10^3 J
m = 50.0 g
ΔT = (final temperature - initial temperature) = (955.0°C - 25.0°C)
Plug in the values you have into the formula:
6.00 x 10^3 J = (50.0 g) c ((955.0°C - 25.0°C)
Now, solve for c. Start by finding the difference in temperature:
ΔT = 955.0°C - 25.0°C = 930.0°C
Now, substitute the values back into the equation and solve for c:
6.00 x 10^3 J = (50.0 g) c (930.0 °C)
To isolate c, divide both sides of the equation by the mass and ΔT:
c = (6.00 x 10^3 J) / (50.0 g)(930.0 °C)
Now, perform the calculations:
c = (6.00 x 10^3 J) / (50.0 g)(930.0 °C)
c ≈ 0.129 J/g°C
Therefore, the specific heat of the metal is approximately 0.129 J/g°C.