The root mean square (rms) velocity of a gas is given by the formula: MCQ with Answer and Explanation

The root mean square (rms) velocity of a gas is given by the formula:
A. √(3RT/M)
B. Both A and B
C. √(3P/d)
D. √(8RT/πM)
Answer: Option B
Solution (By JKSSB Mock Tests)
The root mean square velocity (urms) of gas molecules can be expressed in multiple equivalent ways. It is √(3RT/M) where R is the gas constant, T is temperature, and M is molar mass. Since P = dRT/M (where d is density), it can also be written as √(3P/d). Both formulas are correct.

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Question #1
Methanol is toxic because it is metabolized to:
A. Acetone
B. Ethanol
C. Acetic acid
D. Formaldehyde and formic acid

Correct Answer: Option D


Explanation:
In the liver, methanol is oxidized to formaldehyde, then to formic acid, which damages the optic nerve and can cause blindness or death. Ethanol is used as an antidote by competing for the enzyme alcohol dehydrogenase.

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Question #2
Which of the following is a negative catalyst (inhibitor)?
A. Phosphoric acid in decomposition of H₂O₂
B. Pt in oxidation of SO₂
C. Fe in Haber process
D. MnO₂ in decomposition of H₂O₂

Correct Answer: Option A


Explanation:
A negative catalyst (inhibitor) slows down a reaction. Phosphoric acid (or acetamide) retards the decomposition of H₂O₂ by stabilizing it. MnO₂ is a positive catalyst for H₂O₂ decomposition, speeding it up. Platinum catalyzes SO₂ oxidation in contact process. Iron (Fe) catalyzes ammonia synthesis in Haber process. Negative catalysts are often used to prevent undesirable reactions, e.g., antioxidants in food preservation.

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Question #3
Assertion (A): A reaction between an acid and a base is called a neutralization reaction. Reason (R): Neutralization always produces a neutral solution with pH exactly 7.
A. Both A and R are true, but R is not the correct explanation of A
B. A is true, but R is false
C. A is false, but R is true
D. Both A and R are true, and R is the correct explanation of A

Correct Answer: Option B


Explanation:
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