Can someone explain, step-by-step, how to do this problem?
Any help would be appreciated!
How many grams of methane [CH4(g)] must be combusted to heat 1.13 kg of water from 25.0°C to 90.0°C, assuming H2O(l) as a product and 100% efficiency in heat transfer?
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Verified answer
First find the delta E of water
delta E = (1130g)(4.184J/gC)(65C)
delta E = 307.3148kJ
This is also the delta E of methane.
Now, you have to find the heat of combustion of methane. It will probably be in your textbook
I mole of methane has a heat of combustion of -890.3 kJ mol−1
delta E/heat of combustion
307.3148kJ/(890.3 kJ/mole) = 0.345 moles
0.345 moles x (16.05g/mole) = 5.54g
Methane Ch4
You first need to know the enthalpy of combustion of methane (deltaH = -890 kJ/mol) negative because the reaction is exothermic.
The amount of energy required to heat the water:
E = mass x specific heat capacity of water x change in temperature
= 1.13kg x 4.18 kJ/kg C x 65 C
= 307.0 kJ
Number of moles of methane required:
307.0 kJ / 890 kJ/mol =0.345 mol
Mass of methane required:
mass = number of moles x molar mass
= 0.345 x 16.05 g/mol = 5.54g
What is dH for methane?