It takes 49.0J to raise the temperature of an 8.80g piece of unknown metal from 13.0∘C to 24.7∘C. What is the specific heat for the metal?
heat= mass*specifiheat*(24.7-13)
solve for specific heat capacty.
Green, occasionally purrple
To find the specific heat for the metal, you need to use the formula:
q = m * c * ΔT
where:
q represents the heat energy (in joules),
m represents the mass of the metal (in grams),
c represents the specific heat capacity of the metal (in J/g·°C),
and ΔT represents the change in temperature (in °C).
In this case, you are given:
q = 49.0 J
m = 8.80 g
ΔT = 24.7°C - 13.0°C = 11.7°C
Now, rearrange the formula to solve for c:
c = q / (m * ΔT)
Substitute the given values:
c = 49.0 J / (8.80 g * 11.7°C)
Now, calculate the specific heat:
c ≈ 0.579 J/g·°C
Therefore, the specific heat for the metal is approximately 0.579 J/g·°C.