Step-by-step explanation:
To calculate the heat gained by nickel, we can use the formula:
q = m * c * ΔT
where q is the heat gained, m is the mass of the nickel, c is the specific heat of nickel, and ΔT is the change in temperature.
Given:
- Mass of nickel, m = 31.4 g
- Specific heat of nickel, c = 0.443 J/g · °C
- Change in temperature, ΔT = 64.2 °C - 27.2 °C = 37.0 °C
Substituting the values into the formula, we get:
q = (31.4 g) * (0.443 J/g · °C) * (37.0 °C)
Simplifying the calculation, we get:
q = 584 J
Therefore, the heat gained by nickel when 31.4 g of nickel is warmed from 27.2 °C to 64.2 °C is 584 J.