Calculate the specific heat of a metallic element if 314 joules of energy are needed to raise a 50.0 g sample from 25 to 50 degress C ? :)
To calculate the specific heat of a metallic element, we can use the formula:
Q = m × c × ΔT
Where:
Q is the amount of energy transferred or heat (in Joules)
m is the mass of the sample (in grams)
c is the specific heat of the metallic element (in J/g·°C)
ΔT is the change in temperature (in °C)
Given:
Q = 314 J
m = 50.0 g
ΔT = (50 - 25) °C = 25 °C
Plugging in the values into the formula, we have:
314 J = 50.0 g × c × 25 °C
To isolate c, divide both sides by (50.0 g × 25 °C):
c = 314 J / (50.0 g × 25 °C)
c ≈ 0.2512 J/g·°C
Therefore, the specific heat of the metallic element is approximately 0.2512 J/g·°C.
To calculate the specific heat of a metallic element, you need to use the formula:
Q = m * c * ΔT
Where:
Q is the amount of energy transferred or heat (in joules),
m is the mass of the sample (in grams),
c is the specific heat capacity of the metal (in J/g·°C), and
ΔT is the change in temperature (in °C).
In your case, you have the following known values:
Q = 314 joules
m = 50.0 g
ΔT = (50 °C - 25 °C) = 25 °C
Now, rearrange the formula to solve for c:
c = Q / (m * ΔT)
Substitute the known values into the equation:
c = 314 J / (50.0 g * 25 °C)
Calculating the specific heat:
c = 0.2512 J/g·°C
Therefore, the specific heat of the metallic element is approximately 0.2512 J/g·°C.
314 joules of energy are needed to raise a 50.0 g sample from 25 to 50 degress C
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We want Joules per kilogram degree C
314 J /(.05 kg * 25deg)