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Ideal Gas Equation

Question

A gas acquires $24.6 l$ at $1 a t m$ and $27^{o} C$ temperature. What volume it will occupy at $10 a t m$ & $373^{o} C$ ?
$7.5 L$
$5.3 L$
$10.2 L$
$15 L$

A

10.2 L

B

7.5 L

C

5.3 L

D

15 L

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Solution

Verified by Toppr

The correct option is C $5.3 L$
Combined gas law :
$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
$\frac{1 \times 24.6}{300} = \frac{10 \times V}{646}$
$V = 5.2 L$

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