One kind of cake requires 400g of flour and 50g of fat, and another kind of cake requires 200g of flour and 75g of fat. Find the number of cakes which can be made from 8kg of flour and 2 kg of fat. Write the mathematical formulation of this problem.

One kind of cake requires 200g of flour and 25g of fat, and another kind of cake requires 100g of flour and 50g of fat. Find the maximum number of cakes which can be made from 5kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes.

One kind of cake requires 200g of flour and 25 g of fat, and another kind of cake requires 100 g of flour and 50 g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is no shortage of theother ingredients used in making the cakes.

Cake-A requires 200g of flour and 25g of fat Cake-B requires 100 g of flour and 50 g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat. The mathematical form of this LPP is ……..

One kind of cake requires 300 gr of flour and 15 gr of fat and another kind of cake requires 150 gr. of flour and 30 gr of fat. Find the maximum number of cakes which can be made from 7.5 kg of flour and 600 gr. of fat assuming that there is no shortage of the other ingredients used in making the cake.

Chemical reactions involve interation of atoms and molecules. A large number of atoms // molecules ( approximately 6.023xx10^(23)) are present in a few grams of any chemical compound varying with their atomic // molecular masses. To handle such large numbers conveniently, the mole concept was introduced. This concept has implications in diverse areas such as analytical chemistry, biochemistry, electrochemistry, and radiochemistry. The following example illustrates a typical case, involving chemical // electrochemical reaction, which requires a clear understanding of the mole concept. A 4.0M aqueous solution of NaCl is prepared and 500mL of this solution is electrolyzed. This leads to the evolution of chlorine gas at one of the electrodes ( atomic mass of Na is 23 and Hg is 200)(1F=96500C) . If the cathode is an Hg electrode, the maximum weight (in g) of amalgam formed from this solution is

Surafce tension is exhibited by liquids due to force of attraction between the molecules of the liquid .The surface tension decreases with increases in temperature and vanishes at boiling point Given that the latent heat of vaporization for water L_(v)=540(kcal)/(kg) the mechanical equivalent of heat J=4.2(J)/(cal) density of water rho_(w)=10^(3)kgl^(-1) ,Avogadro'sno. N_(A)=6.0xx10^(26)k " mole"^(-1) . Molecular weight of water M_(A)=10kg , for 1k mole . (a) Estimate the energy required for one molecule of water to evaporated. (b) Show that the inter molecular distance for water is d=((M_(A))/(N_(A))xx(1)/(rho_(w)))^((1)/(3)) and find its value. (c ) 1 g of water in the vapour state at 1 atm occupies 1601cm^(3) , estimate the intermolecular distance at boiling point in the vapour state. (d) During vaporisation a molecule overcomes a force F, assumed constant to go from an inter molecular distance d to d .Estimate the value of F. (e ) Caculate (F)/(d) , which is a measure of the surface tension.

A block of mass 15 kg is lying on an inclined plane of angle 30^(@) . In order to make it move upward along the slope with an acceleration 25 cms^(2) , a horizontal force of 200 N is required to be applied on it. Then the frictional force on the block i s (g = 9.8 ms 2)

A soldier fires bullets, each of mass 50 g, from his automatic rifle with a velocity of 1000 m/s. If he can bear a maximum force of 200 N on his shoulder, find the number of bullets which he can fire in a second.

The lower end of a capillary tube of diameter 2.00 mm is dipped 8.00 cm below the surface of water in a beaker . What is the pressure required in the tube in order to blow a hemispherical bubble at the end in water ? The surface tension of water at temperature of the experiments is 7.30xx10^(-2)Nm^(9-1) . 1 atmospheric pressure =1.01xx10^(5)Pa . Density of water =1000kg//m^(3),g=9.80ms^(-2) . Also calulate the excess pressure .

The lower end of a capallary tube of diameter 2.50 mm is dipped 8.00 cm below the surface of water in a beaker .What is the pressure required in the tube in order to blow a hemispherical bubble at the end in water ? The surface tension of water at temperature of the experiments is 7.30xx10^(-2)Nm^(-1) . 1 atmospheric pressure 1.01xx10^(5)Pa . Density of water =1000kg//m^(3),g=9.80ms^(-2) .Also calculate the excess pressure .