Question

Two identical containers are open at the top and are connected
at the bottom via a tube of negligible volume and a valve that is
closed. Both containers are filled initially to the same height of
1.00 m, one with water, the other with mercury, as the drawing
indicates. The valve is then opened. Water and mercury are
immiscible. Determine the fluid level in the left container when
equilibrium is reestablished.

Answer #1

Two identical containers are open at the top and are connected
at the bottom via a tube of negligible volume and a valve that is
closed. Both containers are filled initially to the same height of
1.00 m, one with water, the other with mercury, as the drawing
indicates. The valve is then opened. Water and mercury are
immiscible. Determine the fluid level in the left container when
equilibrium is reestablished.

Two identical sealed containers (1 and 2) are connected to one
another by a narrow tube with a valve. Initially, the valve is
closed, container 1 is filled with a fluid, and container 2 is
empty. Both containers have a ruler taped to their sides in order
to measure the height of any fluid they contain.
A) . When the valve is opened for a time interval Δt, the level
of the fluid in container 1 drops by 3 cm....

A 1.00-m vertical tube, with its bottom closed and top open to
the air, is partly filled with mercury. What is the absolute
pressure at the bottom of the tube if the fundamental frequency of
the filled tube is equal to the fifth harmonic of the empty
tube?
The answer is 2.05x10^5 Pa. Please show work.

Three thermally insulated containers of equal volume are
connected together by thin tubes of negligible volume so that gas
can flow from one container to the next when a valve between them
is open. Initially, the pressure and temperature in each container
is at the same value Po and To,
respectively.
The valves between the vessels are opened, and thermal insulation
is removed from two of the vessels. Then two vessels are surrounded
by heat reservoirs so that their temperatures...

Two insulated containers are connected through an insulated line
and a valve that is closed. Both sides contain 1 kg of steam but
the left side is at 300 °C while the right side is at 200 °C. The
valve is opened, allowing both sides to mix and reach a common
temperature and pressure.
a) Is this process reversible?
b) What is the final pressure and temperature of the steam, if the
steam is treated as an ideal gas?
c)...

A surgeon inserted a needle in the
patient’s vein. The needle was connected to a top-open plastic bag
filled with therapeutic fluid and lifted to a height h.
the pressure gauge inside the vein was 5980 Pa. The therapeutic
fluid density was adjusted to be the same as that of blood (see the
lecture notes or textbook for the value).
(d) At the next stage of the treatment procedure, the
surgeon used a syringe to administer a drug fluid into...

A surgeon inserted a needle in the patient’s vein. The needle
was connected to a top-open plastic bag filled with therapeutic
fluid and lifted to a height h. Find h, which is just sufficient
for the fluid to enter the vein, if the pressure gauge inside the
vein was 5980 Pa. The therapeutic fluid density was adjusted to be
the same as that of blood (see the lecture notes or textbook for
the value).
(d) At the next stage of...

Ethanol is in a closed tank and the level indicator has broken.
Your boss requests that you determine the height (and therefore the
volume) of the ethanol in the tank (the tank is partially full and
there is a gas phase above the liquid). Connected to the very
bottom of the tank is an open-ended manometer using mercury. On the
tank side of the manometer tube, there is 500. mm of ethanol above
the mercury. The height differential of the...

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