Calculate the specific heat capacity of a new alloy if a 15.4g sample absorbs 393j when it is heated from 0.0°c to 37.6°c

Answer 1

To calculate the specific heat capacity of the alloy, we can use the formula:

Q = mcΔT

Where:
Q = Heat absorbed (393 J)
m = mass of the alloy (15.4 g)
c = specific heat capacity
ΔT = change in temperature (37.6°C - 0.0°C = 37.6°C)

Now, we can rearrange the formula to solve for the specific heat capacity (c):

c = Q / (m * ΔT)
c = 393 J / (15.4 g * 37.6°C)

First, convert the mass from grams to kilograms:
15.4 g = 0.0154 kg

Now, substitute the values into the equation:
c = 393 J / (0.0154 kg * 37.6°C)
c = 393 J / (0.5784 kg°C)
c = 678.2 J/kg°C

Therefore, the specific heat capacity of the new alloy is 678.2 J/kg°C.