The reaction of zinc metal with hydrochloric acid was used to produce 1.5 moles of hydrogen at 298 K and 1 atm pressure. The magnitude of work done in pushing back the atmosphere is

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TestHub · Accepted Answer

The reaction is given by:

Zn + 2HCl tarrow ZnCl₂ + H₂(g)

Only the gas formed performs expansion work. The magnitude of work, |w|, can be calculated using the formula:

|w| = PΔ V = Δ n RT

Given Δ n = 1.5 moles, R = 2 cal/K·mol, and T = 298 K, we can calculate the work done:

|w| = 1.5 × 2 × 298 = 894 cal

This corresponds to option (b).

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