For the first order reaction, X→Y the time taken for $$99.9$$% completion of the reaction is $$500$$ minutes. Time taken for $$96.875$$% completion of the reaction will be $$------$$ minutes

Question

Infinity Learn · Accepted Answer

$$t99.9$$%$$t50$$%$$=2.303K$$ log $$100100-99.92.303K$$ log $$100100-50$$; $$t99.9$$%$$t50$$%$$=3$$ log $$10$$ $$0.3010$$; $$t99.9$$%$$t50$$%$$=10$$ ; $$t99.9$$%$$=10t50$$%; similarly $$t75$$%$$t50$$%$$=2.303K$$ log $$100100-752.303K$$ log $$100100-50$$; $$t75$$%$$t50$$%$$=2$$ log $$2$$ log $$2$$ $$t75$$%$$=2t50$$%; Conclusion :       $$t99.9$$%$$=10t50$$%;        $$t75$$%$$=2t50$$%;     $$t87.5$$%$$=3t50$$%;   $$t93.75$$%$$=4t50$$%; t $$96.875$$%$$=5t50$$%;

For the first order reaction, X $\to$ Y the time taken for 99.9% completion of the reaction is 500 minutes. Time taken for 96.875% completion of the reaction will be ------ minutes

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For the first order reaction, X→Y the time taken for 99.9% completion of the reaction is 500 minutes. Time taken for 96.875% completion of the reaction will be ------ minutes

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For the first order reaction, X $\to$ Y the time taken for 99.9% completion of the reaction is 500 minutes. Time taken for 96.875% completion of the reaction will be ------ minutes