A 82.1 L container connected with manometer contains mixture of CS2 and H2S gases and just the required amount of O2 is added to form to CO2,SO2 and H2O(g) at 227 ∘C. Final condition of manometer is shown. (atmospheric pressure = 760 mm Hg, assume ideal gas behavior)If moles of SO2 gas produced is0.7, select the correct statement(s)

Let P be the pressure of gas mixture after combustion. P+304=760 P=456nm=0.6 atmApplying PV=nRT 0.6×82.1=n×0.0821×500 n=1.2 (CO2+SO2+H2O) CS2+3O2x moles (say)→ CO2+2SO2 2H2S+3O2y moles (say)→ 2H2O+2SO2 nCO2=x nH2O=y nSO2=2x+y 2x+y=0.7 x+y=0.5 On solving ; x=0.2, y=0.3

A 82.1 L container connected with manometer contains mixture of CS2 and H2S gases and just the required amount of O2 is added to form to CO2,SO2 and H2O(g) at 227 ∘C. Final condition of manometer is shown. (atmospheric pressure = 760 mm Hg, assume ideal gas behavior)If moles of SO2 gas produced is0.7, select the correct statement(s)

Let P be the pressure of gas mixture after combustion. P+304=760 P=456nm=0.6 atmApplying PV=nRT 0.6×82.1=n×0.0821×500 n=1.2 (CO2+SO2+H2O) CS2+3O2x moles (say)→ CO2+2SO2 2H2S+3O2y moles (say)→ 2H2O+2SO2 nCO2=x nH2O=y nSO2=2x+y 2x+y=0.7 x+y=0.5 On solving ; x=0.2, y=0.3

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A $82.1$ L container connected with manometer contains mixture of ${CS}_{2}$ and $H_{2} S$ gases and just the required amount of $O_{2}$ is added to form to ${CO}_{2}, {SO}_{2}$ and $H_{2} O (g)$ at $227^{\circ} C$ . Final condition of manometer is shown. (atmospheric pressure = 760 mm Hg, assume ideal gas behavior)
If moles of ${SO}_{2}$ gas produced is $0.7$ , select the correct statement(s)

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moles of ${CS}_{2}$ originally present is $0.2$

total pressure after combustion is $0.6 atm$

moles of ${CS}_{2}$ originally present is $0.3$

moles of $H_{2} S$ originally present is $0.3$

answer is B, C, D.

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Detailed Solution

Let P be the pressure of gas mixture after combustion.
$P + 304 = 760 P = 456 n m = 0.6 a t m$

$A p p l y i n g P V = n R T 0.6 \times 82.1 = n \times 0.0821 \times 500 n = 1.2 (C O_{2} + S O_{2} + H_{2} O) \underset{x m o l e s (s a y)}{C S_{2} + 3 O_{2}} \overset{}{\to} C O_{2} + 2 S O_{2} \underset{y m o l e s (s a y)}{2 H_{2} S + 3 O_{2}} \overset{}{\to} 2 H_{2} O + 2 S O_{2} n_{C O_{2}} = x n_{H_{2} O} = y n_{S O_{2}} = 2 x + y 2 x + y = 0.7 x + y = 0.5 O n s o l v i n g; x = 0.2, y = 0.3$