Question

Water is poured into a cylindrical container that has a leak at the bottom, where h = 15.0 cm and r = 2.50 cm. The mass m of the water is given as a function of time ?(?) = 2.70? ^2 − 0.120? ^3 , where m is in grams, t in seconds, and 0 ≤ ? ≤ 22.5. (a) What is that greatest mass in kg? (b) What is the height y (in meters) of the water when the mass is greatest? (c) what is the number of water molecules when the mass is greatest? (The atomic mass for H is 1 u and for oxygen is 16 u, where u=1.66 × 10-27 kg), (water density is 1.00 g/cm3 )

Answer #1

Water is poured into a container that has a leak. The mass m of
the water is given as a function of time t by m = 4.6t0.8 - 3.0t +
19, with t ≥ 0, m in grams, and t in seconds. (a) At what time is
the water mass greatest, and (b) what is that greatest mass? What
is the rate of mass change at (c) t = 1.7 s and (d) t = 5.3 s?

One cubic centimeter of a typical cumulus cloud contains 430
water drops, which have a typical radius of 10 μm.
(a) How many cubic meters of water are in a
cylindrical cumulus cloud of height 3.1 km and radius 1.1 km?
(b) How many 1-liter pop bottles would that water
fill? (c) Water has a density of 1000
kg/m3. How much mass does the water in the cloud
have?
Water is poured into a container that has a leak. The...

A cylindrical tank of cross-sectional area equal to A has one
inlet where water is flowing in, and no exits. The mass flow rate
going into the tank is represented with. The height ?of the water
inside the tank is represented by L, which is increasing with
time.
a. Use the general conservation of mass equation to show that
the following equation is true for this problem (assuming that
density varies with time):1??/???+1??/???=?/???. Include all
steps.
b. For the same...

Instructions: Choose 8 of the 10 problems
below. Show your work in detail. Answer the questions directly in
this template. Before doing this, it is highly recommending that
you thoroughly review the three examples in the Unit Lesson.
Consider two stable isotopes, helium-3 and helium-4. How many
neutrons and protons are there in each isotope? What are the mass
numbers? Hint: Do not confuse mass number with atomic mass. Review
the definition of them.
If two protons and two neutrons...

1) There are two naturally occurring types of
copper, ^63Cu (62.92960 u) and ^65Cu (64.92780 u).
a) Given that the atomic weight of copper is 63.546 u, what are
the natural abundances of ^63Cu and ^Cu?
b) What makes ^63Cu different from ^65Cu. Be specific!!
c)Which copper is regular copper and which one is the
isotope?
2) Consider the following questions
a) Light takes 8 minutes and 19 seconds to reach from the sun to
the earth. The speed of...

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