Question:
At STP, 1.54 g of MnO\(_2\) reacted with excess HCl. What is the volume of Cl\(_2\) produced at STP? (At. wt: Mn = 55 u, O = 16 u)
At STP, 1.54 g of MnO\(_2\) reacted with excess HCl. What is the volume of Cl\(_2\) produced at STP? (At. wt: Mn = 55 u, O = 16 u)
Show Hint
At STP, always remember: \(1\) mole of gas occupies \(22.4\) L and check stoichiometric coefficients carefully.
Updated On: Jun 20, 2026
- 0.396 L
- 0.224 L
- 0.336 L
- 0.112 L
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Write the balanced chemical equation.
The reaction of MnO\(_2\) with HCl is: \[ MnO_2 + 4HCl \rightarrow MnCl_2 + Cl_2 + 2H_2O \] From the equation, 1 mole of MnO\(_2\) produces 1 mole of Cl\(_2\).
Step 2: Calculate molar mass of MnO\(_2\).
\[ \text{Molar mass} = 55 + 2 \times 16 = 87 \, g/mol \]
Step 3: Find moles of MnO\(_2\).
Given mass = 1.54 g: \[ n = \frac{1.54}{87} \approx 0.0177 \, mol \]
Step 4: Use stoichiometry for Cl\(_2\).
From equation: \[ 1 \, mol \, MnO_2 \rightarrow 1 \, mol \, Cl_2 \] So: \[ n(Cl_2) = 0.0177 \, mol \]
Step 5: Convert moles to volume at STP.
At STP: \[ 1 \, mol = 22.4 \, L \] So: \[ V = 0.0177 \times 22.4 \]
Step 6: Final calculation.
\[ V \approx 0.396 \, L \]
Final Answer: \[ \boxed{0.396 \, L} \]
The reaction of MnO\(_2\) with HCl is: \[ MnO_2 + 4HCl \rightarrow MnCl_2 + Cl_2 + 2H_2O \] From the equation, 1 mole of MnO\(_2\) produces 1 mole of Cl\(_2\).
Step 2: Calculate molar mass of MnO\(_2\).
\[ \text{Molar mass} = 55 + 2 \times 16 = 87 \, g/mol \]
Step 3: Find moles of MnO\(_2\).
Given mass = 1.54 g: \[ n = \frac{1.54}{87} \approx 0.0177 \, mol \]
Step 4: Use stoichiometry for Cl\(_2\).
From equation: \[ 1 \, mol \, MnO_2 \rightarrow 1 \, mol \, Cl_2 \] So: \[ n(Cl_2) = 0.0177 \, mol \]
Step 5: Convert moles to volume at STP.
At STP: \[ 1 \, mol = 22.4 \, L \] So: \[ V = 0.0177 \times 22.4 \]
Step 6: Final calculation.
\[ V \approx 0.396 \, L \]
Final Answer: \[ \boxed{0.396 \, L} \]
Was this answer helpful?
0
0
Top AP EAPCET Chemistry Questions
- The four quantum numbers of the valence electron of potassium are :
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
- In which of the following the election gain enthalpy of elements is correctly arranged?
- The radii of $ \text{F,}{{\text{F}}^{-}}\text{O} $ and $ {{\text{O}}^{2-}} $ are in the order
- Which of the following has the highest first ionization potential?
View More Questions
Top AP EAPCET Laws of Chemical Combinations Questions
Top AP EAPCET Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- The four quantum numbers of the valence electron of potassium are :
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
View More Questions