Answer:
124.579 g
Explanation:
Amount of heat required to change the temperature of body is given by the equation given below
Q = m* c * ΔT ____________________equation A
where Q is the total heat energy required by the any object
c is the specific heat capacity of the body J/gK
ΔT is the difference of final temperature of the object and initial temperature of the object
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Given Q = 6290 joules
c = 0.900 J/gK
To calculate the temperature in kelvin from Celsius
we can use the formula
K = C + 273
initial temperature = 23.9°C
initial temperature on kelvin scale = 23.9° + 273 = 296.9
Final temperature = 80°C
initial temperature on kelvin scale = 80° + 273 = 353
ΔT(temperature difference) = 353 - 296.9 = 56.1
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let the mass of of the aluminum be m g
substituting the value of Q , c, ΔT in equation A we have
Q = m* c * ΔT
=> 6290 = m * 0.900 * 56.1
=> m = 6290/(0.900 * 56.1 )
=> m = 6290/50.49
=> m = 124.579 g
The mass of the aluminum is 124.579 g
