Chemical Process Principles (CLB 10904) Tutorial 1 Chapter 1: Basic Concepts (Part 1)
Chemical Process Principles (CLB 10904) Tutorial 1 Chapter 1: Basic Concepts (Part 1)
Chemical Process Principles (CLB 10904) Tutorial 1 Chapter 1: Basic Concepts (Part 1)
1. Convert:
a. 0.5 g/min.in3 to lbm/hr.ft3 (Ans: 114.29 lbm/hr.ft3)
b. 6000 in/lbm.hr to all ISI Units (Ans: 0.093 m/kg.s)
c. 0.005 N to lbm.cm/min2 (Ans: 3968.32 lbm.cm/min2)
d. 500 m3/day.kg to cm3/min.g (Ans: 347.22 cm3/min.g)
e. 50.37 kJ /min to hp (Ans: 1.13 hp)
1
X = X 0 +V0t + at 3
2
Where: X is the displacement at time t, X0 is the displacement at time t = 0, V0 is the velocity at time t = 0
and a is the constant acceleration. (Ans: Not dimensionally homogenous)
N d V .g.hd .( 1 )
ln =
Na kT
Where: Nd and Na are number of particles, V is volume, g is gravitational acceleration, hd is distance,
and 1 are densities, and T is absolute temperature. (Ans: k = M.L2/T2.)
E = mc 2
Where: E is energy, m is mass and c is the speed of light. (Ans: Dimensionally homogenous)
7. The reaction rate constant, k depends on the temperature, T as given below in the Arrhenius equation.
! mol $ 5
! 10,000 $
k# 3 & = 1.2110 exp # &
" dm .min % " 8.314T %
The units of the quantity 10,000 are J/mol, and T is in K (kelvin). What are the units of 1.21 X 105 and
8.314? (Ans: mol/dm3.min, J/mol.K)
8. Determine the dimensions of q in the following equation for flow through a rectangular weir below if it is
determined the equation is dimensionally homogenous.
D = 2t + 5
a. If the equation is valid, what are the dimensions of the constant 2 and 5? (Ans: L/T, L)
b. If the equation is consistent in its unit, what are the units of 2 and 5? (Ans: ft/s, ft)
3. Consider the interval from 100 F to 200 F. Calculate directly the interval in C, K, and oR between the
temperatures. (Ans: 55.56K, 55.56oC, 100oR)
5. Liquid Ethyl acetate (C4H8O2) is flowing through a pipe at a rate of 150 L/s. Given SG of Ethyl acetate
is 0.901 and MW = 88.10.
a. What is the mass flow rate of this stream in kg/hr? (Ans: 486,540 kg/hr)
b. What is the mass flow rate of this stream in lbm/min? (Ans: 17,877.77 lbm/min)
c. What is the molar flow rate in kmol/min? (Ans: 92.05 kmol/min)
d. What is the molar flow rate in lbmol/hr? (Ans: 12,175.56 lbmol/hr)
6. Given a mixture of 200 lbm/hr of A (MW = 20.0) and 400 lbm/hr of B (MW = 30.0) flow through a
pipe. Determine:
a. The mass fraction of A and B (Ans: 0.33, 0.67)
b. The mole fraction of A and B (Ans: 0.43, 0.57)
c. The total molar flowrate of the mixture (Ans: 23.33 lbmol total/hr)
d. Calculate the average molecular weight of the mixture. (Ans: 25.7 lbm total/lbmol total)
8. Given a solution contains 20 mole% of B (MW = 10.0) and the remaining A (MW = 40.0)
a. Calculate the mass flowrate of A in a stream flowing at a total rate 100 kmol/min (Ans: 3200 kg A/min)
b. Calculate the mass fraction of A and B with total flowrate of 40 lbmol/s (Ans: 0.94, 0.06)
c. Calculate the molar flowrate of A that corresponds to a molar flowrate of 28 mol B/s (Ans: 112 mol A/s)
9. The volume of a liquid mixture contains 100 ml methanol (SG 0.792) and 150 ml (SG 0.791) of
acetone. Given Methanol MW = 32.04 and Acetone MW = 58.08.
a. Calculate the mass fraction of methanol and acetone in the mixture. (Ans: 0.4, 0.6)
b. Calculate the mole fraction of methanol and acetone in the mixture. (Ans: 0.55, 0.45)
c. Calculate the average molecular weight of the mixture. (Ans: 43.76 g total/mol total)
10. Given the feed to ammonia synthesis reactor contains 55 mole% nitrogen gas (MW 28.02) and the
balance hydrogen gas (MW 2.016). In addition, it is found that the flow rate of the mixture is
5000lbm/hr. Calculate the flow rate of nitrogen into the reactor in lbm/hr. (Ans: 4722.21 lbm N2/hr)
11. A mixture contains 20.0 mole% ethanol (MW 46.07, SG 0.789), 75.0 mole % ethyl acetate (MW 88.10,
SG 0.901) and the remaining acetic acid (MW 60.05, SG 1.049).
a. Calculate the mass fractions of each compound in the mixture. (Ans: 0.12, 0.84, 0.04)
b. Calculate the average molecular weight of the mixture. (Ans:636.48 g total/mol total)
c. Determine the mass (kg) of the mixture if it contains 25.0 mol of ethyl acetate? (Ans: 21.216 kg total)