A 10-cm column of air is trapped by an 8-cm-long column of Hg in a capillary tube horizontally fixed as shown in the figure at 1 atm pressure.
(a) vertically with open end up
(b) vertically with open end down
(c) at $45^{0}$ from horizontal with the open end up

Open in App

Solution

(a) At the horizontal position of tube, air pressure is 1 atm, i.e., 76 cmHg. If the tube is now held in different given positions at the same temperature, the length of air column will vary. Applying Boyle's law, we have,
$p_{1} V_{1} = p_{2} V_{2}$
or $p_{1} l_{1} a = p_{2} l_{2} a$
or $p_{1} l_{1} = p_{2} l_{2}$ .
Now when the tube is held vertically with open end up,
air pressure $p_{2} = 76 c m (H g) + 8 c m (H g)$
= 84 cm (Hg).
$∴ l_{2} = \frac{p_{1} l_{1}}{p_{2}} = \frac{76 \times 10}{84} = 9.04 c m$
(b) When the tube is held vertically with open end down,

Suggest Corrections

Similar questions

Q. A

10 c m

column of air is trapped by a column of

H g, 8 c m

long, in a capillary tube horizontally fixed as shown below, at

1 a t m

pressure. Calculate the length of air column where the tube is fixed at the same temperature (a) vertically with open end up (b) vertically with open end down. (c) at

45^{\circ}

with the horizontal with open end up.

Q. A 10 cm column of air is trapped by a column of mercury, 8 cm long, in a capillary tube horizontally fixed as shown below, at 1 atm pressure. When the tube is held at certain

θ^{o}

, with open end up, the weight of Hg is borne partially by the gas. Vertical Height of Hg is a measure of additional pressure on gas
The length of air column, when the tube is fixed vertically at the same temperature with open end up is?

Q. A

10.0 cm

column of air is trapped by a column of 4 cm long

H g

in a capillary tube of uniform bore when the tube is held horizontally at

1 atm

. The length of the air column when the tube is held vertically with the open end up is:
Given:

P_{a t m} = 76

cm of Hg

A 10.0 cm gas column is trapped by a column of Hg 4 cm long in capillary tube of uniform bore. The tube is held horizontally in a room at 1 atm. Length of the air column when the tube is held vertically with the open end up is

Q. A

10 c m

column of air is trapped by a column of

H g 4.00 c m

long in capitary tube of uniform bore when the tube is held horizontally in a room at

1 a t m

tube is held vertically with the open end up is:

Join BYJU'S Learning Program

A 10-cm column of air is trapped by an 8-cm-long column of Hg in a capillary tube horizontally fixed as shown in the figure at 1 atm pressure.(a) vertically with open end up (b) vertically with open end down(c) at 450 from horizontal with the open end up

A 10-cm column of air is trapped by an 8-cm-long column of Hg in a capillary tube horizontally fixed as shown in the figure at 1 atm pressure.
(a) vertically with open end up
(b) vertically with open end down
(c) at $45^{0}$ from horizontal with the open end up