Which gas law is expressed by P₁V₁/T₁ = P₂V₂/T₂ for a fixed mass of gas? MCQ with Answer and Explanation

Which gas law is expressed by P₁V₁/T₁ = P₂V₂/T₂ for a fixed mass of gas?
A. Boyle's law
B. Combined gas law
C. Charles' law
D. Gay-Lussac's law
Answer: Option B
Solution (By JKExamLibrary)
The combined gas law integrates Boyle's (P₁V₁ = P₂V₂), Charles' (V₁/T₁ = V₂/T₂), and Gay-Lussac's (P₁/T₁ = P₂/T₂) laws into one equation: P₁V₁/T₁ = P₂V₂/T₂ for a fixed amount of gas. It assumes ideal behavior. When one variable is constant, the respective individual law can be derived. For changing conditions, this combined form is useful. For n moles, PV = nRT.

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The conversion of iron into steel involves the removal of impurities and the addition of:
A. Nitrogen and sulfur
B. Carbon and other alloying elements
C. Phosphorus only
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Correct Answer: Option B


Explanation:
Steel is an alloy of iron with controlled amounts of carbon (0.02-2.1%) and often other elements like manganese, chromium, nickel, etc. Cast iron contains 2-4% carbon. In steelmaking (Bessemer, LD process), impurities like excess carbon, silicon, manganese, sulfur, phosphorus are oxidized and removed, then desired carbon and alloying elements are added to achieve specific properties.

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Question #2
Boyle's law is valid only when:
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Correct Answer: Option C


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Boyle's law: P ∝ 1/V at constant temperature and for a fixed mass (number of moles) of gas. If T or n changes, the simple inverse relationship does not hold.

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J.J. Thomson is credited with the discovery of the:
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Correct Answer: Option B


Explanation:
J.J. Thomson discovered the electron in 1897 through his experiments with cathode ray tubes. He demonstrated that cathode rays were composed of previously unknown negatively charged particles, which were later named electrons. This discovery proved that atoms were not indivisible and led to his 'plum pudding' model.

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