The time for half life period of a certain reaction Products is 1 hour. When the initial concentration of the reactant A is 2.0 mol L -1, how much time does it take for its concentration to come from 0.50 to 0.25 mol  L-1 if it is a zero order reaction ?

  • Option 1)

    1 h

  • Option 2)

    4 h

  • Option 3)

    0.5 h

  • Option 4)

    0.25 h

 

Answers (1)

As we learnt in

Zero Order Reaction -

Zero order reaction means that the rate of the reaction is proportional to zeroth power of the concentration of reactants

 

- wherein

R\rightarrow P

Rate=\frac{-d(R)}{dt}=K[R]^{0}=K

t_\frac {1}{2}= time required for half completion of reaction=\frac{a}{2k}

 

 t_{1/2} = \frac{9}{2K}

1 = \frac{2}{2K}, K = 1

\left[\frac{dR}{dt} \right ]= K[R]^{0}

- \frac{[dR]}{R^{0}} = Kdt

- \int_{R_0}^{R_t} [R] = K \int_{0}^{t}dt

R_{o} -R_{t} = kt \\ 0.50 -.025 = t \\ t= 0.25 h


Option 1)

1 h

This option is incorrect. 

Option 2)

4 h

This option is incorrect. 

Option 3)

0.5 h

This option is incorrect. 

Option 4)

0.25 h

This option is correct. 

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