Home
Class 11
CHEMISTRY
A bulb of constant volume is attached to...

A bulb of constant volume is attached to a manometer tube open at other end as shown in figure. The manometer is filled with a liquid of density `(1//3)^("rd")` that of mercury. Initially h was 228 cm.

Through a small hole in the bulb gas leaked assuming pressure decreases as `(dP)/(dt)=-kp.`If value of h is 114 cm after 14 minutes, what is the value of k (in `"hour"^(-1)`)?
[ Use : In (4/3) =0.28 and density of Hg =13.6 g/mL.].

A

0.6

B

1.2

C

2.4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
b
(b) `P=P_(0^(e^(-kt))),P_(0)=(228)/(3)+76=152cm Hg`
`"At "t=14 min,P=(114)/(3)+76=114cm Hg`
`implies" "152e^(-kt)=114`
`impliesk=(1)/(t)"In"(152)/(114)=(1)/(14)xx0.28`
`=0.02xx60hr^(-1)=1.2hr^(-1)`
Promotional Banner

Topper's Solved these Questions

  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.31 To Q.60)|1 Videos

  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.121 To Q.150)|1 Videos

  • ELECTROCHEMISTRY

    NARENDRA AWASTHI|Exercise Level 3 - Subjective Problems|1 Videos

  • IONIC EEQUILIBRIUM

    NARENDRA AWASTHI|Exercise Exercise|196 Videos

Similar Questions

Explore conceptually related problems

A bulb of constant volume is attached to a very thin manometer tube as shown in figure. Gas starts leaking through a small hole in the bulb causing change in pressure as : (dp)/(dt)=-kP^(2) When k is constant and P is pressure at any instant Initial height difference 'h' was 76 cm and after 10 mm 'h' was 38 cm.

A tube in vertical plane is shown in figure. It is filled with a liquid of density rho and its end B is closed. Then the force exerted by the fluid on the tube at end B will be : [Neglect atmospheric pressure and assume the radius of the tube to be negligible in comparison to l ]

A manometer reads the pressure of a gas in an enclosure as shown in the figure. The absolute and gauge pressure of the gas in cm of mercury is (take atmospheric pressure =76 cm of mercury)

A monometer contains a liquid of density 5.44g//cm^(3) is attached to a flask containing gas 'A' as follows The initial pressure of gas A in th flask is:

A liquid of density rho has to spray with help of aspirator pump at height H from liquid level as shown in figure. If gauge pressure inside bulb is P and density of air is sigma then velocity of air in tube AB is

A manometer tube contains mercury of density 13.6 xx 10^(3) kg m^(-3) . What difference in the levels of mercury in the two arms is indicated by a gauge pressure of 1.03 xx 10^(5) Pa ?

When one limb of a manometer is connected to a container filled with a gas, the level of the mercury in the other limb rises by 'h' cm. Then the pressure of the gas in the container is 76+h cm of Hg.