A
mercury-filled manometer with two unequal-length arms of the same
cross-sectional area is sealed off with the same pressure
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Let the
cross-sectional area of the arms of the manometer be
and the initial volume of the right-arm of the manometer will be
It is given
that the pressure of gas in both arms of the manometer is
When
at constant initial temperature an additional
and the changed volume of the gas in the right-arm will be
Let the
changed pressure in the left-arm be
Similarly, we have
We now require that at the same level of mercury in both the arms of the manometer the pressure has to be equal. This gives the condition
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in the two arms. With the temperature constant, an additional
of
mercury is admitted through the stopcock at the bottom. The level on
the left increases 6.0 cm and
that on the right increases 4.0 cm. We
have to find the pressure
.
The initial volume of the gas in the left-arm of the manometer will
be
.
and that in the right-arm be
.
As the temperature has remained constant in the process, we have
