To find the specific heat of the unknown metal sample, you can use the formula:
\( q = mcΔT \),
where:
- \( q \) is the heat energy absorbed or released,
- \( m \) is the mass of the sample (500g in this case),
- \( c \) is the specific heat capacity of the material (what we are trying to find),
- \( ΔT \) is the change in temperature (55.0 °C - 25.0 °C = 30.0 °C).
Given that the heat energy released is 6.4 x 10^2 J, you can substitute the values into the formula and solve for the specific heat capacity (\( c \)):
\( 6.4 x 10^2 J = (500g) * c * 30.0°C \).
First, convert the mass to kg by dividing by 1000 (500g = 0.5kg). Then, rearrange the formula to solve for \( c \):
\( c = \frac{6.4 x 10^2 J}{(0.5kg * 30.0°C)} \).
Calculate the specific heat capacity \( c \) using this equation to find the value.
