Final answer:
To determine the mass of a piece of lead given its specific heat capacity, heat energy transferred, and temperature change, we use the formula Q = mcΔT, where m can be isolated and calculated.
Step-by-step explanation:
The student has asked a question regarding the calculation of the mass of a piece of lead given its specific heat capacity (shc), the amount of heat energy transferred, and the temperature change. This is a physics problem that involves the concept of thermal energy transfer and the use of the specific heat formula.
To find the mass of the piece of lead, we can use the specific heat formula: Q = mcΔT, where Q is the heat transfer (in joules), m is the mass (in kilograms), ΔT is the change in temperature (in degrees Celsius), and c is the specific heat capacity (in J/kg°C). The formula can be rearranged to solve for m (mass): m = Q / (cΔT). Given the specific heat capacity of lead is 126 J/kg°C, the heat energy is 5000 J, and the temperature change is from 20°C to 250°C (ΔT = 230°C), we can calculate the mass.
To calculate the mass of the piece of lead: m = 5000 J / (126 J/kg°C × 230°C). By performing the calculation, we can determine the mass of the lead piece.