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ChemistryIdeal GasIdeal Gas Equation & problemsMedium2 minQB

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Passage / Comprehension

A solid vessel contains $7.1 g$ of chlorine gas at ambient pressure at $T K$ . The vessel is kept in a bath which is $3 0^{\circ}$ hotter. In order to maintain the original pressure, some gas is withdrawn and is found to occupy $246 m L$ at $1 a t m$ at $27℃$ . $[R = 0.082 a t m \cdot L \cdot m o l^{- 1} \cdot K^{- 1}]$

Find out the volume of the vessel.

Options:

Answer:

Solution:

To find the volume of the vessel, we use the ideal gas law, $P V = n RT$ . Given $P$ , $n$ , $R$ , and $T$ , we can solve for $V$ .

Given:

Number of moles, $n = 0.1$ mol

Temperature, $T = 273$ K

Pressure, $P = 1$ atm

Ideal gas constant, $R = 0.0821$ L atm mol⁻¹ K⁻¹

Using the ideal gas law:

$P V = n RT$

$V = \frac{n RT}{P}$

$V = \frac{( 0.1 m o l ) ( 0.0821 L a t mm o l ^{- 1} K ^{- 1} ) ( 273 K )}{1 a t m}$

$V = 2.24 L$

The volume of the vessel is 2.24 liters.

The final answer is $2.24 l i t re$ .

Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Ideal Gas Equation & problems

⏱ 2mℹ️ Source: QB

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