calculate the specific heat of a metallic element if 314 joules of energy are needed to raise the teperature of a 50.0g sample from 25C to 50C.
i'm not sure if you use the Q=(s)(m)(delta t) equation or not since it asks for the specific heat not the specific heat capacity.. i don't know if theres a difference or not...
specific heat is a shortened version of specific heat capacity.
Use 1 = mass x specific heat x delta T.
are the joules supposed to be on the side where the 1 is?
so its 314= 50x specific heatx 25?
Sorry, I made a typo. That should have read
q = mass x specific heat x delta T. I hit the 1 instead of q.
Yes, 314 = 50 x sp.h. x 25. Solve for sp.h.
To calculate the specific heat of a metallic element, you can use the formula Q = m * c * ΔT, where Q is the amount of energy transferred, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature.
In this case, you have already been given the values of Q (314 J), m (50.0 g), and ΔT (50°C - 25°C = 25°C).
To find the specific heat (c), rearrange the formula as follows:
c = Q / (m * ΔT)
Substitute the given values:
c = 314 J / (50.0 g * 25°C)
Before you proceed, ensure that the mass is converted to kilograms and the temperature to Kelvin.
m = 50.0 g = 0.0500 kg
ΔT = 25°C = 25 + 273.15 K = 298.15 K
Now plug in the values:
c = 314 J / (0.0500 kg * 298.15 K)
Calculating this will give you the specific heat of the metallic element in J/(g·°C) or J/(kg·K), depending on how you converted the values.
Note: In this context, there is no difference between specific heat and specific heat capacity. The terms can be used interchangeably.