• Home
  • NCERT Solutions
  • Class 11
  • Chemistry
  • States of Matter
  • Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg m–3 and R = 0.083 bar dm3 K–1 mol–1).

Pay load is defined as the difference be | Class 11 Chemistry Chapter States of Matter, States of Matter NCERT Solutions

Q16.

Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg m–3 and R = 0.083 bar dm3 K–1 mol–1).

Payload of the ballon  = mass of the displaced air – mass of the ballon

Radius of the ballon, r  = 10 m

Mass of the ballon, m = 100kg

Therefore volume of the ballon = 4/3πr3 = 4/3 x 22/7 x (10)3 = 4190.5 m3

Now volume of the displaced air = 4190.5 m3

Given,

Density of air = 1.2 kg m–3

Therefore, the mass of the displaced air

= 4190.5 x 1.2  = 5028.6 kg

Let w be the mass of helium gas filled into the ballon,then

PV = (w/m)RT

OR w = PVM/RT

= (1.66 X 4190.5 X 103 X 4) / (0.083 X 300)

 = 1117 kg (approx)

Total mass of the balloon filled with He  = 1117 + 100 = 1217 kg

Therefore payload of the balloon  = 5028.6 – 1217 = 3811.6 kg

Hence, the pay load of the balloon is 3811.6 kg.

👍 0
👎 0
✍️ Add Answer
🚩 Report

Study Tips for Answering NCERT Questions:

NCERT questions are designed to test your understanding of the concepts and theories discussed in the chapter. Here are some tips to help you answer NCERT questions effectively:

  • Read the question carefully and focus on the core concept being asked.
  • Reference examples and data from the chapter when answering questions about States of Matter.
  • Review previous year question papers to get an idea of how such questions may be framed in exams.
  • Practice answering questions within the time limit to improve your speed and accuracy.
  • Discuss your answers with your teachers or peers to get feedback and improve your understanding.

Important Questions & Answers

Why is this answer important for exams?

This question is important because it tests key concepts from the NCERT syllabus and is frequently asked in CBSE exams.

Which NCERT concept is used in this question?

This question is based on core NCERT concepts explained in the chapter and should be revised thoroughly before exams.

What is the correct answer to: Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg m–3 and R = 0.083 bar dm3 K–1 mol–1).?

Payload of the ballon  = mass of the displaced air – mass of the ballon

Radius of the ballon, r  = 10 m

Mass of the ballon, m = 100kg

Therefore volume of the ballon = 4/3πr3 = 4/3 x 22/7 x (10...

How do you solve Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg m–3 and R = 0.083 bar dm3 K–1 mol–1). step by step?

Step-by-step explanation:
• Payload of the ballon  = mass of the displaced air – mass of the ballon

• Radius of the ballon, r  = 10 m

• Mass of the ballon, m = 100kg

What common mistakes should be avoided in this question?

Students often lose marks by skipping steps, writing incomplete explanations, or misunderstanding keywords used in the question.

Latest Blog Posts

Stay updated with our latest educational content and study tips

Government Jobs by Age Limit: Eligibility and Opportunities in 2026

Government Jobs by Age Limit: Eligibility and Opportunities in 2026

Government jobs continue to be one of the most popular employment options in India because of their job security, regular salary, pension benefits, and promotion prospects. However, one of the most frequent doubts of aspirants is age eligibility. Countless candidates are discouraged from applying for Government positions – or even from preparing for them – … Read more

Read More
NEET & JEE Preparation Guide for State Board Students

NEET & JEE Preparation Guide for State Board Students

After preparation for NEET and JEE, students inclined towards studying under state education boards find themselves a step behind the CBSE students. The syllabus, question pattern and level of idea of these national entrance exams varies widely from most state board syllabus. But with the correct approach, students taking the state board can hold their … Read more

Read More
Simple and Compound Interest Formulas with Questions

Simple and Compound Interest Formulas with Questions

Interest is one of the most significant ideas in maths and financial calculations. It is very common in banking, loan applications, investments, saving account and competitive exams. Simple Interest and Compound Interest make it easier to find out how much more is earned and/or paid on a principal during the period of time. These Interest … Read more

Read More
Spoken English Course Topics for Beginners in 2026

Spoken English Course Topics for Beginners in 2026

In 2026, students, professionals, and job seekers must have a high level of spoken English. Spoken English is a beginner level course to enhance learners’ communication skills in English, their pronunciation, vocabulary, grammar structure and confidence in speaking English fluently. Today, the emphasis of spoken English courses is placed on actual conversations, everyday speech practice … Read more

Read More

Student Discussion

Aryan
Class · · , · Mar 12, 2019
Thank you for giving me this solution of this question in a very simple way
👍 👎 Reply
Raja
Class · · , · Oct 26, 2018
Thanks for doing this questions
👍 👎 Reply
Shivam
Class · · , · Mar 25, 2018
Best
👍 👎 Reply

ADD NEW COMMENT

        Can’t find your school? Type full name and submit.