Answer:
c = 0.4356 J/gK
Explanation:
Given the following data;
Mass = 450 grams
Initial temperature, T1 = 150°C
Final temperature, T2 = 53°C
Quantity of heat = 34500 Joules
To find the specific heat capacity of the metal;
Heat capacity is given by the formula;
[tex] Q = mcdt[/tex]
Where;
Q represents the heat capacity or quantity of heat.
m represents the mass of an object.
c represents the specific heat capacity of water.
dt represents the change in temperature.
dt = T2 - T1
dt = 53 - 150
dt = -97°C
Converting the temperature in Celsius to Kelvin, we have;
dt = 273 + (-97) = 176 Kelvin
Making c the subject of formula, we have;
[tex] c = \frac {Q}{mdt} [/tex]
Substituting into the equation, we have;
[tex] c = \frac {34500}{450*176} [/tex]
[tex] c = \frac {34500}{79200} [/tex]
c = 0.4356 J/gK
