Final answer:
The specific heat capacity of the metal is calculated using the formula q=mcΔT. With the provided information (1495 J of heat, 337 g of metal, temperature change from 55.0°C to 66.0°C), the specific heat capacity is found to be 0.399 J/g°C.
Step-by-step explanation:
To calculate the specific heat capacity of the metal, we can use the formula q = mcΔT, where q is the heat absorbed or released (in joules), m is the mass of the substance (in grams), c is the specific heat capacity (in J/g°C), and ΔT is the change in temperature (in °C).
Given that 1495 J of heat is needed to raise the temperature of a 337 g sample of a metal from 55.0°C to 66.0°C, we have:
ΔT = 66.0°C - 55.0°C = 11.0°C
q = 1495 J
m = 337 g
Plugging these values into the formula, we can solve for c:
1495 J = (337 g)(c)(11.0°C)
c = 1495 J / (337 g × 11.0°C)
c = 0.399 J/g°C
Thus, the specific heat capacity of the metal is 0.399 J/g°C.