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← JEE Main 2014 · 11 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 35 of 90

JEE Main 2014 · 11 Apr · Shift 1, Chemistry question 35

For the reaction, 2 NX2OX5→4 NOX2+OX2\ce{2N2O5 -> 4NO2 + O2}, the rate equation can be expressed in two ways −d[NX2OX5]dt=k[NX2OX5]-\dfrac{d[\ce{N2O5}]}{dt}=k[\ce{N2O5}] and +d[NOX2]dt=k′[NX2OX5]+\dfrac{d[\ce{NO2}]}{dt}=k'[\ce{N2O5}]

k and k′ are related as :

Choose one option
Answer and worked solution

Official answer: B

Four NOX2\ce{NO2} form for every two NX2OX5\ce{N2O5} used:
d[NOX2]dt=2(−d[NX2OX5]dt)=2k[NX2OX5].\frac{d[\ce{NO2}]}{dt}=2\left(-\frac{d[\ce{N2O5}]}{dt}\right)=2k[\ce{N2O5}].
So k′=2kk'=2k.