Question

An ideal gas is at constant pressure its temperature is increased by 10K then its volume increases 0.2%. Find out its initial pressure​

Answer 1

CORRECT QUESTION -

An ideal gas is at constant pressure its temperature is increased by 10 K then its volume increases 0.2%. Find out its initial Temperature

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✍ T = 5000 K

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EXPLANATION —

Given —

Temperature increased to 10k

Volume increases by 0.2 %

Let initial Volume be V✔

And initial Temperature is T✔

We have ideal equation

$PV = nRT$

Since pressure is constant

Here R is also constant

Therefore Ratio will be in proportion

⇒V is proportional to T

⇒V ∝ T

Final Volume =

$V + \frac{0.2}{100} V \\ \\ = 1.002V$

Final Temperature

$= T + 10$

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WE HAVE V ∝ T

$\frac{V}{1.002V} = \frac{T}{T + 10} \\ = > T + 10 = 1.002T \\ \\ on \: solving \\ = > T = 5000 K$

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