AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A bulb containing a gas 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 ${(1 / 3)}^{r d}$ that of mercury. Initially h was 228 cm. Through a small hole in the bulb, gas leak caused a pressure decrease as $\frac{d p}{d t} = - k P .$ If the value of h is 114 cm after 7 minutes, calculate the value of k in units of ${hour}^{- 1} .$ (Report answer in multiple of $10^{- 1} .$ )
[ Use : $\ln$ (4/3)=0.28 & density of Hg=13.6 g/ml]

Atmospheric pressure is 76 cm of Hg

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is 2.4.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Atmospheric pressure is 76 cm of Hg

$P = P_{o} e^{- k t} P_{o} = \frac{228}{3} + 76 = 152 c m H g .$

At t=7 min.

$P = \frac{114}{3} + 76 = 114 c m H g \Rightarrow 152 e^{- k t} = 114 [k = \frac{1}{t} \ln \frac{152}{114} = \frac{1}{7} \times 0.28 = 0.04 \min^{- 1} = 0.04 \times 60 h r^{- 1} = 2.4 h r^{- 1}]$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!