Calculate the amount of heat required to raise the temperature of a 65-g sample of water from 32∘C to 65∘C. (The specific heat capacity of copper is 4.184 J/g∘C.)
Express your answer in Joules.
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To calculate the amount of heat required to raise the temperature of a sample of water, we can use the formula:
Q = m * c * ΔT
where:
Q is the amount of heat required (in Joules),
m is the mass of the sample (in grams),
c is the specific heat capacity of the substance (in J/g∘C),
ΔT is the change in temperature (in ∘C).
In this case, we are given:
m = 65 g (mass of water)
c = 4.184 J/g∘C (specific heat capacity of water)
ΔT = (65∘C - 32∘C) = 33∘C (change in temperature)
Substituting these values into the formula, we have:
Q = 65 g * 4.184 J/g∘C * 33∘C
Now, let's calculate the value:
Q = 8769.12 J
Therefore, the amount of heat required to raise the temperature of a 65-g sample of water from 32∘C to 65∘C is 8769.12 Joules.
To calculate the amount of heat required, we can use the formula:
Q = m * c * ΔT
where:
Q = heat (in Joules)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in J/g∘C)
ΔT = change in temperature (in ∘C)
Given:
m = 65 g (mass of water)
c = 4.184 J/g∘C (specific heat capacity of water)
ΔT = 65 - 32 = 33∘C (change in temperature)
Now we can substitute the values into the formula:
Q = 65 g * 4.184 J/g∘C * 33∘C
Calculating:
Q = 8785.920 J
Therefore, the amount of heat required to raise the temperature of the water from 32∘C to 65∘C is 8785.920 Joules.