CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relation for Inverse Proportion

Solve amp;...

Question

Solve & explain briefly
Q. The temperature of a gas filled in closed vessel reduces by 1 $°$ C. Calculate the ratio of change in pressure to the original pressure of the gas.

Open in App

Solution

Dear Student,
$\sin c e t h e v o l u m e o f t h e v e s s e l i s c o n s \tan t t h e v o l u m e r e m a i n c o n s \tan t f o r g a s . h e n c e t h e p r e s s u r e i s d i r e c t l y p r o p o r t i o n a l t o t h e t e m p e r a t u r e . P V = n R T P α T l e t t h e i n i t i a l p r e s s u r e a t t e m p b e P a n d T a n d f i n a l p r e s u r e b e P' \frac{P}{P'} = \frac{T}{T - 1} P' = \frac{P (T - 1)}{T} r a t i o = \frac{P - P'}{P} = \frac{P - \frac{P (T - 1)}{T}}{P} = 1 - \frac{(T - 1)}{T} = \frac{T - T + 1}{T} = \frac{1}{T} R e g a r d s$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The pressure of a gas filled in a closed vessel increases by 0.4%. When temperature is increases by 1

^{o}

C the initial temperature of the gas is

Q. When a gas filled in a closed vessel is heated through 1

^{o}

C, its pressure increases by 0.4%. The initial temperature of the gas was :

Q. When a gas filled in a closed vessel is heated through

1^{o} C

, its pressure is increased by

0.4 %

. The initial temperature of the gas was:

Q. When the temperature of a gas, contained in a closed vessel is increased by

25^{o}

, its pressure increases by

10 %

. The original temperature of the gas was approximately:

Q. The molecular theory states that the pressure exerted by a gas in a closed vessel results from the gas molecules striking against the walls of the vessel. How will the pressure change if the volume is made half of its original value keeping the temperature constant?

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Inverse Proportions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Relation for Inverse Proportion

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon