Chemistry - Thermodynamics - 1 Question with Solution | TestHub

ChemistryThermodynamics - 1Adiabatic Process/PolytropicEasy2 minPYQ_2020

ChemistryEasysingle choice

The relation between pressure P and volume V is given by $P V^{\frac{1}{4}}$ = constant. If the percentage decrease in volume is $\frac{1}{4}$ , then the approximate percentage increase in pressure is

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Answer:

Solution:

$P V^{\frac{1}{4}} = C o n s t a n t$

% decreases in volume $= \frac{1}{4}$

$\frac{d v}{v} \times 100 = \frac{1}{4}$

Now, ${P V}^{\frac{1}{4}} = a$

$\log P + \frac{1}{4} \log v = \log a$

$\frac{d p}{p} + \frac{1}{4} \frac{d v}{v} = 0$

$100 \times \frac{d P}{P} + \frac{1}{4} \frac{d V}{V} \times 100 = 0$

$\frac{d P}{P} \times 100 = - \frac{1}{4} \frac{d V}{V} \times 100$

$= \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$

Stream:NTA_ABHYASSubject:ChemistryTopic:Thermodynamics - 1Subtopic:Adiabatic Process/Polytropic

⏱ 2mℹ️ Source: PYQ_2020

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