Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Grade: 12th pass
The maximum capacity of bollowns A and B are 800ml and 1800ml which are bollown A and B brust first if temperature is gradually increase
one year ago

Answers : (2)

Lavesh Gupta
38 Points
We can easily apply, V1/T1 = V2/T2 to get the answer since the pressure, number of moles are constant for gas in each of the baloon. We’ll need inital volume for both the baloons as well as their temperatures.
one year ago
68 Points

The balloon with larger capacity (1800 ml) will burst first.

(Here, it is assumed, balloon wall materials and gas inside spherical balloon (air) are same for both cases. And, balloon wall is thin (r/T>10), so thin walled spherical pressure vessel formula can be applied.)

Equations for determining tangential tensile stress (hoop) developed at thin balloon wall:


(radial stress at inner wall ‘–P’ will be very less compared to hoop stress, so neglected.)

Gas law Equations in terms of density and specific R_specific (R_specific= R/M):

P=ρX R_specificXT.........(2)

(density, ρ and specific gas constant, R_specific is intrinsic properties of a gas, so it will be same for the same gases present in both balloons.)

From equation (1) & (2) and by partial differentiation,

dσ = (ρ X R_specific / 2t) X r X dT......(3)

so, rate of balloon wall’s stress increase is proportional to r (radius of spherical balloon).

So, balloon with larger capacity (greater volume means larger radius) will experience greater stress increase with increasing temperature. And ultimate stress at larger blloon will be crossed earlier than smaller balloon. So, larger balloon will burst first.


σ= Stress at balloon wall

P =Pressure inside balloon

r=Radius of spherical balloon

t= Thickness of balloon wall

ρ=Density of gas inside balloon

T= Temperature of gas inside balloon

R=Ideal or universal gas constant

M=Molar mass of gas inside balloon

R_specific=R/M=Specific gas constant of gas inside balloon


please approve


one year ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution

Course Features

  • 141 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details