Comprehension VI A closed rigid bulb contains \( 0.01 \) mole of inert helium gas and a sample o...

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Comprehension VI
A closed rigid bulb contains \( 0.01 \) mole of inert helium gas and a sample of solid white ammonium chloride, \( \mathrm{NH}_{4} \mathrm{Cl}^{2} \) Assume that the volume of the solid \( \mathrm{NH}_{4} \mathrm{Cl} \) is negligible compared to the volume of the bulb. The pressure of He is measured at \( 300 \mathrm{~K} \) and is found to be \( 114 \mathrm{~mm} \mathrm{Hg} \). The bulb is then heated to \( 600 \mathrm{~K} \). All the \( \mathrm{NH}_{4} \mathrm{Cl} \) decomposes to \( \mathrm{NH}_{3} \) (g) and \( \mathrm{HCl}(\mathrm{g}) \). The final total pressure in the bulb after complete decomposition of the solid is \( 908 \mathrm{~mm} \mathbf{H g} \). Assume ideal behaviour for all gases.
The approximate mass of \( \mathrm{NH}_{4} \mathrm{Cl} \) present initially in the bulb is
(a) \( 0.8 \mathrm{~g} \)
(b) \( 1.6 \mathrm{~g} \)
(c) \( 0.4 \mathrm{~g} \)
(d) \( 2.4 \mathrm{~g} \)
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