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Van der waals,equation of state is(p+a/v²)(V-b)=nRT. The dimensions of a and b are
Options
(a) [ML³T²],[ML³T⁰]
(b) [ML⁵T⁻²],[M⁰L³T⁰]
(c) [M²LT²],[ML³T²]
(d) [ML²T],[ML²T²]
Correct Answer:
[ML⁵T⁻²],[M⁰L³T⁰]
Explanation:
((p+a/v²)(V-b)) / nT =R
Since we have (p+a/v²), the term a/v² needs to have units of pressure for subtraction to proceed.
Therefore, aV² = pressure
a = pressure x Volume²
=[ML⁻¹T⁻²] x (L³)²
=ML⁵T⁻²
In case of variable b, it should be same as volume as v-b should work.
b=(L³)
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Question Type: Memory
(964)
Difficulty Level: Easy
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Topics: Physical World and Measurement
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Subject: Physics
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Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Three particles A,B and C are thrown from the top of a tower with the same speed.
- A body revolved around the sun 27 times faster than the earth. What is the ratio
- A car of mass m is moving on a level circular track of radius R
- A series combination of resistor (R), capacitor (C), is connected to an AC source
- The frequencies of X-rays,γ-rays and ultraviolet rays are respectively p,q and r
Question Type: Memory (964)
Difficulty Level: Easy (1008)
Topics: Physical World and Measurement (103)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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