Suppose the system pressure is 30.0 atm, the liquid volume is 9.00 liters, the tank diameter is 10.00 cm, the gas contains 40.00 mol% CO2, the Henry's law constant is 9230 atm/(mole/cm3), and the mass-transfer coefficient is 0.030 cm/s. Calculate the time required for CA to reach 1.2351 mol/L.
![Two blocks A and B with masses mA = 10 kg and mB = 4 kg are connected by an inextensible cable and released from rest shown in Figure 1 (where block A is placed in position C ). The coefficients of kinetic friction between two blocks and the 30∘ inclined plane are μA = 0.1 and mB = 0.3. The cable is in tension in the entire motion and the sizes of blocks are negligible. (Take gravitational acceleration as 10 m/s2) (a) Draw separate free body diagrams of blocks A and B. Indicate clearly all the forces, directions of motion and coordinate systems. [4 marks] b) Based on the free body diagrams in part (a), establish the equations of motion for blocks A and B and determine the tension in the cable between two blocks. [12 marks] (c) Determine the time required for block A to move 2.5 m from positions C to D along the incline and the velocity of block A when it reaches position D. [4 marks] Figure 1](https://www.doubtrix.com/uploads/editor/3466504776qCVzpwjiZa.png)
![The density of water at 20∘C and 1 atm pressure is p1 = 998 kg m3. The coefficient of volume expansion at the average temperature of 35∘C is β = 0.337×10−3. The isothermal compressibility of water is given to be α = 4.8×10−5. Consider water initially at 20∘C and 1 atm. Determine the final density of the water with the condition of: a) if it is heated to 50∘C at a constant pressure of 1 atm [20 marks] b) if it is compressed to 100 -atm pressure at a constant temperature of 20∘C. Take the isothermal compressibility of water to be α = 4.8×10−5 atm. [20 marks] (Assumption: The coefficient of volume expansion and the isothermal compressibility of water are constant in the given temperature range. An approximate analysis is performed by replacing differential changes in quantities by finite changes.) [TOTAL: 40 marks]](https://www.doubtrix.com/uploads/editor/9399766226YDxPEllnmA.png)
