a gobar gas plant produces methane and supplies to the families if a family requires 15000 KJ of energy per day how many days will the quota of 10 kg will last . (ΔcH of CH4 = -1665 KJ mol-1)
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Molar mass of methane is :
12 + 4 = 16 g
Moles of Methane in Quota of 10kg.
Quota of 10kg = 1/4 × 10 = 2.5 Kg
Convert to grams:
2.5 × 1000 = 2500 grams
Moles = mass / molar mass
Moles = 2500/16 = 256.25 Moles
1 mole gives = 1665 kJ
156.25 moles will give ?
1665 × 156.25 = 260156.25 kJ
1 day = 15000 kJ
? = 260156.25 kJ
260156.25/15000 = 17.34 days
Approximately 17.34days
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