What is the formula of a compound formed from the ions M1+ and X3-?
a. M3X
b. MX3
c. MX
d. None of these
a
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The vast majority of stars in a newly formed star cluster are
A) less massive than the Sun. B) very high-mass, type O and B stars. C) red giants. D) about the same mass as our Sun.
Radioactive Decay: The half-life of a radioactive material is 4.5 days. How many days are required for a sample, with an initial activity of 1.0 × 105 Bq, to decay to an activity of 100 Bq?
A. 45 days B. 36 days C. 54 days D. 31 days
Which statement below is NOT an assumption made in the molecular model of an ideal gas?
A. The average separation between molecules is large compared with the dimensions of the molecules. B. The molecules undergo inelastic collisions with one another. C. The forces between molecules are short range. D. The molecules obey Newton's laws of motion. E. Any molecule can move in any direction with equal probability.
To measure the mass flow rate of a fluid in a laminar flow through a circular pipe, a hot wire type velocity meter is placed in the center of the pipe. Assuming that the measuring station is far from the entrance of the pipe, the velocity distribution is parabolic where Umax is the centerline velocity (r = 0), r is the radial distance from the pipe centerline, D is the pipe diameter.
(a) Derive an expression for the average fluid velocity at the cross-section in terms of
Umax and D.
(b) Obtain an expression for the mass flow rate.
(c) If the fluid is mercury at 30°C, D = 10 cm, and the measured value of Umax is 0.2
cm/s, calculate the mass flow rate from the measurement.
GIVEN
• Fully developed flow of mercury through a circular pipe
• Parabolic velocity distribution: u(r)/Umax = 1 – (2r/D)2
• Mercury temperature (T) = 30°C
• Pipe diameter (D) = 10 cm = 0.1 m
• Measured center velocity (Umax) = 0.2 cm/s = 0.002 m/s
FIND (a) An expression for the average fluid velocity (u )
(b) An expression for the mass flow rate (m )
c) The value of the mass flow rate (m )
SKETCH