Question:

A gaseous reaction $X_2(g) \to Y + \frac{1}{2} Z(g)$ There is increase in pressure from $100 \,mm$ to $120 \,mm$ in $5$ minutes. The rate of disappearance of $X_2$ is

Updated On: Jul 13, 2024
  • $8 \,mm \min ^{-1}$
  • $2\, mm \min ^{-1}$
  • $16\, mm \min ^{-1}$
  • $4\, mm \min ^{-1}$
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

The increase in pressure shows the increase in conc. of $Z$.
Rate of appearance of $Z = \frac{120-100}{5}=4 \,mm \,min ^{-1}$
Rate of disappearance of $X_{2}=2 \times$ rate of appearance of $Z$
$=2 \times 4 \,mm \min ^{-1}=8\, mm \,\min ^{-1}$
Was this answer helpful?
1
0

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:

  1. Temperature
  2. Catalyst
  3. Reactant Concentration
  4. Chemical nature of Reactant
  5. Reactant Subdivision rate