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The reservoir problem containing 45 kg of liquid with an initial temperature of 45 ° C has one inlet and one outlet equal to the mass flow rates. Liquid water enters at 45 ° C and a mass flow rate of 270 kg / h. A water-cooled cooling coil dissipates energy at a speed of 7.6 kW. The water is mixed well with the help of a vane wheel so that the water temperature is uniform everywhere. The input power from the impeller to the water is 0.6 kW. Inlet and outlet pressures are equal and all kinetic energy and potential effects can be ignored. Determine changes in water temperature over time.


The water problem flows at a constant mass flow rate of 7 kg / s into a vertical cylindrical tank. Water is discharged near the base of the tank at a mass flow rate proportional to the height of the liquid in the tank, ime = 14 kg / s, where L is the instantaneous height of the liquid, in m. The base area of ​​the circle is 0.2 m2. Water density is constant at 1000 kg / m3. If the tank is empty at first, determine the change in liquid height over time.


One kmol of a gas at 298 K and 1 bar traces the path A and B as follows:

1-2 Compressed adiabatically to 10 bar pressure

2-3 heated at constant pressure to 623K

3-4 Expanded at constant temperature to 1 bar

2-1 Cooled at constant pressure to 298 K

Calculate Q, W, ΔU and ΔH for each step and for entire cycle, Cp = 29.17 kJ/kmol-K.


Calculate the work done for the adiabatic compression of ethane from 150 kPa to 600 kPa




at 20°C. Assume ethane to be an ideal gas. The heat capacity of ethane is given by




𝐶𝑝




0= 1.48 + 4.124 X 10-2 T + 1.23 X 10-5 T




2




- 1.74 X 10-9 T




3




( T in K, Cp = Cal/mol-K)

 A saturated liquid ethyl acetate compressed from 400kPa to 1000Kpa at 300K. Calculate 

the change in enthalpy and entropy during this compression process.

For Saturated liquid ethyl acetate at 300K; VL = 2×10-3 m3

/kg and β = 3 × 10-3 K-1


A cantilever beam of cross-section 90 mm. width 120 mm deep carries a UDL of 12 KN/m. over the entire length and a concentrated load of 15 KN at the right end. Find the bending stress in the beam, when the length of beam is 10 m.


Evaluate the integral of 3 dx dy. Use inner limits=y^2 to 9, outer limits 0 to 3.



Determine the integral of xy dx dy. Using limits of x=0 to (y+1) and y=0 to 1.



Find the integral of (2-x-y) dx dy. Using limits of x=0 to (1-y)^0.5, and y=0 to 1.

The engine mechanism shown in Fig. 5 has crank OB = 50 mm and length of connecting rod


AB= 225 mm. The centre of gravity of the rod is at G which is 75 mm from B. The engine


speed is 200 r.p.m.


Fig. 5


For the position shown, in which OB is turned 45° from OA, Find 1. the velocity of G and the


angular velocity of AB, and 2. the acceleration of G and angular acceleration of AB.

• Define coriolis component of acceleration along with its direction. Also derive expression for


it.

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