An aeroplane weighing `63,000 kg` flies up from sea level to a height of `8000` meter. Its engine run with pure normal octane `(C_(8)H_(18))` has a `30%` efficiency. Calculate the fuel cost of the flight if octane sells at `Rs. 3` per litre. Given density of octane `=0.705 g mL^(-1)`, heat of combustion of octane `=1300 kcal mol^(-1) (g=981 m//s^(2))`

Assuming that petrol is octane (C_(8)H_(18)) and has density 0.8 g//ml, 1.425 litre of petrol on complete combustion will consume

Assuming that petrol is octane (C_(2)H_(18)) and has a density of 0.8 gm/m.l, 1.425 litres of pertrol on complete combustion will consume

A tank has a hole of area 2 cm^(2) at its bottom and in this hole a conical cork is placed and water is filled up. The water level is made to fall slowly by means of another orifice in the tank. When the water level come to a height of 'H' cm , the conical cork just comes out from the hole. Given, volume of water displaced by the cork =80 cm^(3) , mass of the cork =40 gm , Area of hole =2 cm^(2) , density of water =1 gm//cm^(3) . Area of circular cross-section of conical cork =8cm^(2) , Height of cork submerged in water =(120)/(7) cm . Take g=10m//s^(2) , pi=(22)/(7) and P_(0)=10^(5)N//m^(2) . Calculate the force exerted by water on the curved surface of the conical cork submerged in water when the liquid level in the vessel is equal to H .

A tank has a hole of area 2 cm^(2) at its bottom and in this hole a conical cork is placed and water is filled up. The water level is made to fall slowly by means of another orifice in the tank. When the water level come to a height of 'H' cm , the conical cork just comes out from the hole. Given, volume of water displaced by the cork =80 cm^(3) , mass of the cork =40 gm , Area of hole =2 cm^(2) , density of water =1 gm//cm^(3) . Area of circular cross-section of conical cork =8cm^(2) , Height of cork submerged in water =(120)/(7) cm . Take g=10m//s^(2) , pi=(22)/(7) and P_(0)=10^(5)N//m^(2) . Calculate the value of H .

A tank has a hole of area 2 cm^(2) at its bottom and in this hole a conical cork is placed and water is filled up. The water level is made to fall slowly by means of another orifice in the tank. When the water level come to a height of 'H' cm , the conical cork just comes out from the hole. Given, volume of water displaced by the cork =80 cm^(3) , mass of the cork =40 gm , Area of hole =2 cm^(2) , density of water =1 gm//cm^(3) . Area of circular cross-section of conical cork =8cm^(2) , Height of cork submerged in water =(120)/(7) cm . Take g=10m//s^(2) , pi=(22)/(7) and P_(0)=10^(5)N//m^(2) . The total force exerted by all the fluids on the conical cork in the vertical direction is

Calculate the heat produced when 3.785 litre of actane (C_(8)H_(18)) reacts with oxygen to form CO & water vapour at 25^(@)C . The density of octane is 0.7025 gm/ml. enthalpy of combustion of C_(8)H_(18) is -1302.7 k Cal/mol. {:(DeltaH_(f)^(@) CO_(2)(g)=-94.05" k Cal mol"^(-1),,,DeltaH_(f)^(@) CO(g)=-26.41" k Cal mol"^(-1),),(DeltaH_(f)^(@) H_(2)O(l)=-68.32" k Cal mol"^(-1),,,DeltaH_(f)^(@) H_(2)O (g)=-57.79" k Cal mol"^(-1)):}

Gasoline has an enthalpy of combustion 24000 kJ/mol gallon. When gasoline burns in an automobile engine, approximately 30% of the energy released is used to produce mechanical work. The remainder is lost as heat transfer to the engine's cooling system. As a start on estimating how much heat transfer is required, calculate what mass of water could be heated from 25^(@)C to 75^(@)C by the combustion of 1.0 gallon of gasoline in an automobile? (Given : C(H_(2)O)=4.18 J//g^(@)C )