Question

Statement: At high pressure, the value of the compression factor $\mathrm{Z}$ is $\left(1+\frac{p b}{R T}\right)$.
Reason: At high pressure, the Van der Waals equation becomes $P(V-b)=RT$.

  • A: If both the statement and the reason are true and the reason correctly explains the statement.
  • B: If both the statement and the reason are true but the reason does not correctly explain the statement.
  • C: If the statement is true but the reason is false.
  • D: If both the statement and the reason are false.

✨ Free AI Tools for You

Powered by Chatterbot AI

Answer


The correct answer is: A

According to the van der Waals equation: $$ \left(P + \frac{a}{V^2}\right)(V - b) = RT $$

At high pressure, the equation simplifies to: $$ P(V - b) = RT \implies PV - Pb = RT $$

Dividing the entire equation by $RT$, we get: $$ \frac{PV}{RT} = 1 + \frac{Pb}{RT} $$

Given that $ \frac{PV}{RT} = Z $, the compressibility factor $Z$ can be expressed as: $$ Z = 1 + \frac{Pb}{RT} $$


Was this helpful?

Learn how Chatterbot AI can help you succeed

Cover Image of the article Computer Science Class 11 CBSE - The Ultimate Guide with Notes, Solutions and AI

Computer Science Class 11 CBSE - The Ultimate Guide with Notes, Solutions and AI

This ultimate guide for CBSE Computer Science class 11 has detailed notes, NCERT solutions, cheat sheets, and our free AI-powered doubt-solving assistant, Chatterbot AI.

Cover Image of the article JEE Advanced 2024 Exam Date Announced: Complete Guide to Eligibility, Syllabus, and Preparation Tips

JEE Advanced 2024 Exam Date Announced: Complete Guide to Eligibility, Syllabus, and Preparation Tips

JEE Advanced 2024 on May 26! Get exam schedule, syllabus, prep tips & more in this guide. Ace India's top engineering test with topper strategies.

Cover Image of the article How to Crack NEET: The Ultimate Blueprint to Outsmart the Exam and Unlock Your Medical Dreams

How to Crack NEET: The Ultimate Blueprint to Outsmart the Exam and Unlock Your Medical Dreams

Ace NEET with expert strategies: Discover effective exam strategies, time management, core concepts mastery, problem-solving techniques, revision tips, and AI-assisted doubt clearing with Chatterbot AI.

Cover Image of the article How to Crack IIT: Smart Self-Study Strategies and AI Tools for Success

How to Crack IIT: Smart Self-Study Strategies and AI Tools for Success

Ace IIT JEE in 6 months without coaching. Discover expert self-study strategies for Physics, Chemistry, and Math. Master time management, mock tests, and leverage AI tools like Chatterbot AI for personalized doubt-solving.