Neco Model Questions Vol1 2017 Physics Question 21

Practice objective / multiple choice question 21 from the 2017 Neco Model Questions Vol1 Physics examination.

Neco Model Questions Vol1 2017 Physics Objective / Multiple Choice Medium Difficulty
Question 21 NECO_MODEL_QUESTIONS_VOL1 • 2017 • PHYSICS • objective

A frictionless piston of mass 2.0 kg seals the top of a vertical cylindrical container of cross‑sectional area \(0.010\,\text{m}^2\). The outside of the piston is exposed to atmospheric pressure \(P_{\text{atm}}=1.0\times10^{5}\,\text{Pa}\). Initially the air inside the container is at atmospheric pressure and temperature \(300\,\text{K}\), occupying a volume of \(2.0\times10^{-2}\,\text{m}^3\). Air is slowly pumped in isothermally until the piston just begins to rise. (i) Find the absolute pressure of the air inside the container at that instant. (ii) If the piston rises by \(5.0\,\text{mm}\), calculate the number of moles of air added. Use \(R=8.314\,\text{J mol}^{-1}\text{K}^{-1}\) and \(g=9.8\,\text{m s}^{-2}\).

Answer Options

Correct Answer A. Pressure = 1.0196×10⁵ Pa; moles added ≈ 0.018 mol
B. Pressure = 1.0250×10⁵ Pa; moles added ≈ 0.015 mol
C. Pressure = 1.0150×10⁵ Pa; moles added ≈ 0.022 mol
D. Pressure = 1.0096×10⁵ Pa; moles added ≈ 0.020 mol
Correct Answer
A
Correct Option:
Pressure = 1.0196×10⁵ Pa; moles added ≈ 0.018 mol

About This Question

This is Neco Model Questions Vol1 2017 Physics Question 21. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Physics examination.

Difficulty level: Medium .

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