what is the specific heat of aluminum if temperature of a 28.4g sample of aluminum is increased by 8.1 c° when 207J og heat is added

To find the specific heat of aluminum, we can use the equation:

q = m * c * ΔT

Where:
q is the heat transferred (in Joules)
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (in J/g°C)
ΔT is the change in temperature (in °C)

We're given:
q = 207 J
m = 28.4 g
ΔT = 8.1°C

Now we can rearrange the equation to solve for c:

c = q / (m * ΔT)

Substituting the given values:

c = 207 J / (28.4 g * 8.1°C)

Calculating the value:

c = 0.912 J/(g·°C) (rounded to three decimal places)

Therefore, the specific heat capacity of aluminum is approximately 0.912 J/(g·°C).

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