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Question: Consider a reaction A<sub>(g)</sub>¾® 3 B<sub>(g)</sub> + 2C<sub>(g)</sub> with rate constant 1.386 ...

Consider a reaction A(g)¾® 3 B(g) + 2C(g) with rate constant 1.386 × 10–2 min–1. Starting with 2 moles of A in 12.5 litre vessel, if reaction is allowed to takes place at constant pressure & at 298 K then find the concentration of B after 100 min -

A

0.04M

B

0.36 M

C

0.09

D

None of these

Answer

0.09

Explanation

Solution

K = 0.693t1/2\frac{0.693}{t_{1/2}} or t1/2 = 0.6931.38×102\frac{0.693}{1.38 \times 10^{–2}} = 50 min

A(g) ¾® 3B(g) + 2C(g)

after 2 – x 3x 2x

100 min = 0.5 4.5 3

VfVi\frac{V_{f}}{V_{i}} = nfni\frac{n_{f}}{n_{i}} Ž Vf = 82\frac{8}{2} × 12.5 Ž 50 Lit

\ Concentration of B after

100 min = 4.550\frac{4.5}{50} = 0.09 M