For the gaseous elementary reaction, A +2 B xrightarrow K C ; K =10-4 bar -2 sec -1 If initial partial pressure of A and B are 500 bar and 1 bar respectively, then find time in second to get the partial pressure of B to be 0.1 bar. Assume (500 (0.1/2) ≈ 500).

Question

For the gaseous elementary reaction, A +2 B xrightarrow K C ; K =10-4 bar -2 sec -1 If initial partial pressure of A and B are 500 bar and 1 bar respectively, then find time in second to get the partial pressure of B to be 0.1 bar. Assume (500 (0.1/2) ≈ 500). (A)  (B)  (C)  (D)

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<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/368fe3327d92597a5b9d2822ffcf1986-.png" /> rate =10-4 PA PB2 rate =10-4 × 500 × PB2 rate =5 × 10-2 PB2 or -(1/2) (d PB/d t)=5 × 10-2 PB2 or -(d PB/d t)=10-1 PB2 For 2 nd order, (1/PB)=(1/PB0)+k t or (1/0.1)=(1/1)+0.1 × t or 10=1+0.1 t or t=90 sec.

Q. For the gaseous elementary reaction, A+2BK​C;K=10−4bar−2sec−1 If initial partial pressure of A and B are 500 bar and 1 bar respectively, then find time in second to get the partial pressure of B to be 0.1 bar. Assume (50020.1​≈500).

rate =10−4PA​PB2​ rate =10−4×500×PB2​ rate =5×10−2PB2​ or −21​dtdPB​​=5×10−2PB2​ or −dtdPB​​=10−1PB2​ For 2nd order, PB​1​=PB0​1​+kt or 0.11​=11​+0.1×t or 10=1+0.1t or t=90sec.

Q. For the gaseous elementary reaction, $A + 2 B K C; K = 1 0^{- 4} ba r^{- 2} sec^{- 1}$ If initial partial pressure of $A$ and $B$ are $500$ bar and $1$ bar respectively, then find time in second to get the partial pressure of $B$ to be $0.1$ bar. Assume $(500 \frac{0.1}{2} \approx 500)$ .