To find the mass of tin, the formula Q = mcΔT is used, with the given specific heat capacity and the change in temperature. The calculation results in a mass of approximately 109.65 grams for the tin when 250 J of thermal energy raises its temperature by 10°C.
To calculate the mass of the tin when 250 J of thermal energy are added, and its temperature increases from 24.0 degrees C to 34.0 degrees C, we use the formula Q = mcΔT, where Q is the heat added, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. Given that the specific heat capacity of tin (c) is 0.228 J/g°C, and the change in temperature (ΔT) is 34.0°C - 24.0°C = 10°C, we can rearrange the formula to solve for the mass (m).
m = Q / (cΔT) = 250 J / (0.228 J/g°C × 10°C) = 250 J / (2.28 J/g) = 109.65 g (rounded to two decimal places).
The mass of the tin is therefore approximately 109.65 grams.