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Standard XII

Chemistry

Characteristics of Chemical Equilibrium

At 373 K, a g...

Question

At 373 K, a gaseous reaction $A \to 2 B + C$ is found to be of first order. Starting with pure A, the total pressure at the end of 10 min. was 176 mm and after a long time when A was completely dissociated, it was 270 mm. The pressure of A at the end of 10 minutes was?

94 mm

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47mm

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43mm

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90mm

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Solution

The correct option is B 47mm
$A ⟶ 2 B + C$
Initially, $t = 0$ $P i$ $0$ $0$
$t = 10$ $P i - x$ $2 x$ $x$
$t = \infty$ $0$ $2 P i$ $P i$
Total pressure at $t = 10 m i n, P i - x + 2 x + x = 176$
$\Rightarrow P i + 2 x = 176$
At infinity, Total pressure= $270$
$\Rightarrow 3 P i = 270$
$\Rightarrow P i = 90 m m$ of $H g$
$∴ 2 x = 176 - 90 = 86 m m$ of $H g \Rightarrow x = 43 m m o f$ $H g$
$∴$ The pressure of $A$ after $10 m i n$ = $90 - 43 = 47 m m$ of $H g$ .

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At 373 K, a gaseous reaction A→2B+C is found to be of first order. Starting with pure A, the total pressure at the end of 10 min. was 176 mm and after a long time when A was completely dissociated, it was 270 mm. The pressure of A at the end of 10 minutes was?

The correct option is B 47mm A⟶2B+CInitially, t=0 Pi 0 0t=10 Pi−x 2x xt=∞ 0 2Pi PiTotal pressure at t=10min,Pi−x+2x+x=176 ⇒Pi+2x=176At infinity, Total pressure= 270⇒3Pi=270⇒Pi=90mm of Hg∴2x=176−90=86mm of Hg⇒x=43mmof Hg∴ The pressure of A after 10min= 90−43=47mm of Hg .

At 373 K, a gaseous reaction $A \to 2 B + C$ is found to be of first order. Starting with pure A, the total pressure at the end of 10 min. was 176 mm and after a long time when A was completely dissociated, it was 270 mm. The pressure of A at the end of 10 minutes was?