SATHEE: Chemical and Ionic Equilibrium 1 Question 8

Chemical and Ionic Equilibrium 1 Question 8

8. $5.1 \mathrm{~g} \mathrm{NH}{4} \mathrm{SH} $i s i n t r o d u c e d i n$ 3.0 \mathrm{~L} $e v a c u a t e d f l a s k a t$ 327^{\circ} \mathrm{C} .30 % $o f t h e s o l i d$ \mathrm{NH}{4} \mathrm{SH} $d e c o m p o s e d t o$ \mathrm{NH}{3} $a n d$ \mathrm{H}{2} \mathrm{~S} $a s g a s e s . T h e$ K_{p} $o f t h e r e a c t i o n a t$ 327^{\circ} \mathrm{C} $i s$ \left(R=0.082 \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right. $, m o l a r m a s s o f$ \mathrm{S}=32 \mathrm{~g} \mathrm{~mol}^{-1} $, m o l a r m a s s o f$ \mathrm{N}=14 \mathrm{~g} \mathrm{~mol}^{-1}$ )

(2019 Main, 10 Jan II)

(a) $0.242 \times 10^{- 4} {atm}^{2}$

(b) $0.242 {atm}^{2}$

(d) $1 \times 10^{- 4} {atm}^{2}$

Show Answer

Solution:

Molar mass of ${NH}_{4} SH = 18 + 33 = 51 g {mol}^{- 1}$

Number of moles of ${NH}_{4} SH$ introduced in the vessel

$$ \begin{aligned} & =\frac{\text { Weight }}{\text { Molar mass }}=\frac{5 \cdot 1}{51}=0.1 \mathrm{~mol} \ & \mathrm{NH}{4} \mathrm{SH}(s) \rightleftharpoons \mathrm{NH}{3}(g)+\mathrm{H}{2} \mathrm{~S}(g) \ & \text { Number of } \quad 0.1 \quad 0 \quad 0 \ & \text { moles at } t=0 \ & \text { At } t=t{\text {eq }} \quad 0.1(1-0.03) \quad 30 % \text { of } \quad 30 % \text { of } 0.1 \ & $Missing \end{array}$ & \frac{0.03}{3}=0.01 & \frac{0.03}{3}=0.01 \end{array} \ & K_{C}=\frac{\left[\mathrm{NH}{3}\right]\left[\mathrm{H}{2} \mathrm{~S}\right]}{\left[\mathrm{NH}{4} \mathrm{HS}(s)\right]}=\frac{0.01 \times 0.01}{1}=10^{-4}\left(\mathrm{~mol} \mathrm{~L}^{-1}\right)^{2} \ & \Rightarrow \quad K{p}=K_{C}(R T)^{\Delta n_{g}} \ & \text { [where, } \left.\Delta n_{g}=\Sigma n_{\text {product }}-\Sigma n_{\text {reactant }}\right]=2-0=2 \ & \therefore \quad K_{p}=K_{C}(R T)^{2} \ & =10^{-4} \times[0.082 \times(273+327)]^{2} \mathrm{~atm}^{2} \ & =0.242 \mathrm{~atm}^{2} \end{aligned} $$

Chemical and Ionic Equilibrium 1 Question 8

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Chemical and Ionic Equilibrium 1 Question 8

Solution:

Engineering Preparation

Medical Preparation

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Important Resources

Other Resources

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