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

The decomposition of ${Cl}_{2} O_{7}$ at 400 K in the gas phase to ${Cl}_{2}$ and $O_{2}$ is a first order reaction. After 55 seconds at 400 K the pressure of ${Cl}_{2} O_{7}$ falls from 0.062 to 0.044 atm. The rate constant and pressure of ${Cl}_{2} O_{7}$ after 100 sec of decomposition at this temperature are

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

$5.8 \times 10^{- 3} \sec^{- 1}; 0.44 atm$

$5.2 \times 10^{- 4} \sec^{- 1}; 0.05 atm$

$6.2 \times 10^{- 3} \sec^{- 1}; 0.033 atm$

$4.6 \times 10^{- 3} \sec^{- 1}; 0.005 atm$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The equation for first order reaction is

$K = \frac{2 .303}{t} \log (\frac{a}{a - x})$

(i) Here $a = 0 .062, a - x = 0 .044$

$k = \frac{2 .303}{55} \log \frac{0 .062}{0 .044} = 6 .2 \times 10^{- 3} \sec^{- 1}$

(ii) Here we are to find the value of $a - x$

$\begin{array}{l} 6 .20 \times 10^{- 3} = \frac{2 .303}{100} \log \frac{0 .062}{a - x} \\ \log \frac{0 .062}{a - x} = 2 .69 \times 10^{- 1} \\ \frac{0 .062}{a - x} = 1 .86 \\ a - x = \frac{0 .062}{1 .86} = 0 .033 atm \end{array}$

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!