Solve d^{2}y/dx^{2}-6dy/dx+13y=20e^{3x}cos(2x+5)
Solve the initial value problem y^{2}y -y^{3}tanx=sinxcos^{2}x,y(0)=1
the tunction f(z)= (z)^{2}/z,z≠0 0,z=0 suntistes -Rieman equations at z=0 Does f (0) exist?`
Evaluate ∫0^{π/2α}αsinαxdx,α>0 by using Leibniz formula.`
find the length of the curve y=ln(e^{x}+1/e^{x}-1) from x=1 to x=2 `
A 3 cm diameter tube is used to measure the binary diffusion coefficient of water vapor in air at
20°C at an elevation of 1600 m where the atmospheric pressure is 83.5 kPa. The tube is partially
filled with water, and the distance from the water surface to the open end of the tube is 40 cm.
Dry air is blown over the open end of the tube so that water vapor rising to the top is removed
immediately and the concentration of vapor at the top of the tube is zero. In 15 days of
continuous operation at constant pressure and temperature, the amount of water that has
evaporated is measured to be 1.23 g. Determine the diffusion coefficient of water vapor in air at
20°C and 83.5 kPa. Given, the pressure of water at 20°C is 2.34 kPa.
A lab technician, working in a lab has poured liquid chloroform into a test tubes with inner
diameter of 25 mm. The test tube holds an amount of 29.46 cm3
liquid chloroform at a level of
1 cm from the top (Figure 2). The chloroform molecular weight and vapor pressure is 119.38
kg/kmol and 21 kPa respectively. The evaporation of chloroform to the surrounding air is
occurring at 25 C and 1 atm. If the diffusion coefficient of chloroform in air is DAB is 0.104 cm2
/s,
determine the rate of evaporation and the time taken for half of the chloroform to be evaporated
at the stated condition. Given the density of the chloroform is 1.49 g/cm³.
An 8 cm internal diameter with 30 cm high pitcher half filled with water is left in a dry room at
15°C and 87 kPa with its top open. If the water is maintained at 15°C at all times, determine how
long it will take for the water to evaporate completely. Given, the saturation pressure of water
at 15°C is 1.705 kPa
a horizontal tube carrying hot water has a surface temperature of 355.4 K and the outside diameter of 25.4 mm. The tube is exposed to room air at 294.3 K. Calculate the nature convection heat loss for a 1 m length of pipe. if the tube is replaced with two horizontal plate and the bottom plate is hotter than the upper plate. compared the resulted value of natural convection heat loss using tube and plate