Question:
For a reaction, $NO (g)+ O _{2}(g) \rightarrow 2 NO _{2}(g) ;$ Rate $=k l[N O]^{2}\left[O_{2}\right]$. If the volume of the reaction vessel is doubled, the rate of reaction
For a reaction, $NO (g)+ O _{2}(g) \rightarrow 2 NO _{2}(g) ;$ Rate $=k l[N O]^{2}\left[O_{2}\right]$. If the volume of the reaction vessel is doubled, the rate of reaction
Updated On: May 12, 2022
- will diminish to 1/4 of initial value
- will diminish to 1/8 of initial value
- will increase 4 times
- will increase 8 times
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The Correct Option is B
Solution and Explanation
Rate $\propto$ concentration $\propto \frac{\text { moles }}{\text { litre }}$ When the volume of the reaction vessel is doubled then the rate of reaction $\left(r^{1}\right)$ will be
$r=k\left[\frac{x}{V}\right]^{2}\left[\frac{y}{V}\right]$
(where, $x$ and $y$ are the number of moles of NO and $\left.O_{2}\right)$
$I=k\left[\frac{x}{2 V}\right]^{2}\left[\frac{y}{2 V}\right] \frac{I}{r}$
$=\frac{k\left[\frac{x}{2 V}\right]^{2}\left[\frac{y}{2 V}\right]}{k\left[\frac{x}{V}\right]^{2}\left[\frac{y}{V}\right]}$
$\Rightarrow r \frac{1}{8} r$
$r=k\left[\frac{x}{V}\right]^{2}\left[\frac{y}{V}\right]$
(where, $x$ and $y$ are the number of moles of NO and $\left.O_{2}\right)$
$I=k\left[\frac{x}{2 V}\right]^{2}\left[\frac{y}{2 V}\right] \frac{I}{r}$
$=\frac{k\left[\frac{x}{2 V}\right]^{2}\left[\frac{y}{2 V}\right]}{k\left[\frac{x}{V}\right]^{2}\left[\frac{y}{V}\right]}$
$\Rightarrow r \frac{1}{8} r$
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Concepts Used:
Rate of a Chemical Reaction
The rate of a chemical reaction is defined as the change in concentration of any one of the reactants or products per unit time.
Consider the reaction A → B,
Rate of the reaction is given by,
Rate = −d[A]/ dt=+d[B]/ dt
Where, [A] → concentration of reactant A
[B] → concentration of product B
(-) A negative sign indicates a decrease in the concentration of A with time.
(+) A positive sign indicates an increase in the concentration of B with time.
Factors Determining the Rate of a Reaction:
There are certain factors that determine the rate of a reaction:
- Temperature
- Catalyst
- Reactant Concentration
- Chemical nature of Reactant
- Reactant Subdivision rate