Solution Found!
In a large building, oil is used in a steam boiler heating
Chapter 2, Problem 80CQ(choose chapter or problem)
In a large building, oil is used in a steam boiler heating system. The combustion of 1.0 lb of oil provides 2.4 × 107 J. How many kilograms of oil are needed to heat 150 kg of water from 22 °C to 100 °C? (2.5)
Questions & Answers
QUESTION:
In a large building, oil is used in a steam boiler heating system. The combustion of 1.0 lb of oil provides 2.4 × 107 J. How many kilograms of oil are needed to heat 150 kg of water from 22 °C to 100 °C? (2.5)
ANSWER:Solution 80CQStep 1 of 2:The goal of the problem is to calculate the mass of oil, in kilograms needed to heat 150 kg of water from 22 °C to 100 °C.Given:Mass of water = 150 kg = 150000 g. Initial Temperature (Ti) = 22 °C Final Temperature (Tf) = 100 °CEnergy released in the combustion of 1.0 lb of oil = 2.4 × 107 J.To calculate the mass of oil required, first let’s find the energy needed to heat 150 Kg of water:We know, the formula to calculate specific heat: Specific heat = This can be rewritten to calculate heat energy as: Heat = mass Tspecific heatNow, let’s calculate T: T = Final temperature (Tf) - Initial temperature (Ti ) = 100 °C - 22 °C = 78 °CSpecific heat of water = 4.184 J/g oCNow, let’s find the energy:Heat = mass Tspecific heat = 150000 g78 °C4.184 J/g oC = 4.89 107 J. ________________