The mass of methanol required to heat a 48 g aluminum pot holding 400 ml of water is 28.5 g.
The heat energy change q is given below as follows;
where;
Data given:
mass of Al = 48 g
ΔT= 40 -25
ΔT = 15° C
specific heat of Al = 0.900 J/g° C
q = 48 g × 0.900 J/g° C × 15° C
q = 648 J
the amount of energy transferred is 648 J
b. The amount of methanol required is calculated as follows:
The molar enthalpy of methanol is -727 KJ/mol.
The moles of ethanol required = 648 J / 727 KJ/mol
The moles of ethanol required = 0.891 moles
the molar mass of ethanol = 32 g/mol
mass of methanol = 0.891 * 32 g
mass of methanol required = 28.5 g
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Complete question:
1. A 48 g. aluminum pot holding 400 ml. of water is heated from 25 to 40 degrees Celcius.
a. Calculate the amount of energy transferred. Note Aluminum has a specific heat capacity of 0.900 J/g C.
b) If the heat was transferred by a methanol burner with molar enthalpy of -727 KJ/mol., calculate the amount (mass in grams) of methanol required to heat the water and the aluminum.