1
MHT CET 2023 10th May Evening Shift
+1
-0

Calculate the rate constant for the first order reaction, $$\mathrm{A} \rightarrow \mathrm{B}$$ if the rate of reaction is $$5.4 \times 10^{-6} \mathrm{~mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$ and $$[\mathrm{A}]=0.3 \mathrm{M}$$.

A
$$1.8 \times 10^{-5} \mathrm{~s}^{-1}$$
B
$$1.5 \times 10^{-5} \mathrm{~s}^{-1}$$
C
$$2.1 \times 10^{-5} \mathrm{~s}^{-1}$$
D
$$2.4 \times 10^{-5} \mathrm{~s}^{-1}$$
2
MHT CET 2023 10th May Evening Shift
+1
-0

Time required for $$90 \%$$ completion of a first order reaction is '$$x$$' minute. Calculate the time required to complete $$99.9 \%$$ of the reaction at same temperature.

A
$$x$$ minute
B
$$2 x$$ minute
C
$$3 x$$ minute
D
$$\frac{x}{2}$$ minute
3
MHT CET 2023 10th May Morning Shift
+1
-0

For the reaction, $$3 \mathrm{~I}+\mathrm{S}_2 \mathrm{O}_8^{2-} \rightarrow \mathrm{I}_3^{-}+2 \mathrm{SO}_4^{2-}$$, at a particular time $$\mathrm{t}, \frac{\mathrm{d}\left[\mathrm{SO}_4^{2-}\right]}{\mathrm{dt}}$$ is $$2.2 \times 10^{-2} \mathrm{~mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$. What is the value of $$-\frac{\mathrm{d}\left[\mathrm{I}^{-}\right]}{\mathrm{dt}}$$ ?

A
$$1.1 \times 10^{-2} \mathrm{~mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$
B
$$3.3 \times 10^{-2} \mathrm{~mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$
C
$$4.4 \times 10^{-2} \mathrm{~mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$
D
$$6.6 \times 10^{-2} \mathrm{~mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$
4
MHT CET 2023 10th May Morning Shift
+1
-0

What is the half life of a first order reaction if rate constant is $$4.2 \times 10^{-2}$$ per day?

A
5.0 day
B
16.5 day
C
28.0 day
D
9.0 day
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