Two identical vessels $A$ and $B$ with frictionless pistons conatin the same ideal gas at the same temperature and the same volume $V$. The masses of gas in $A$ and $B$ are ${m_A}\;{\rm{and}}\;{m_B}$ respectively. The gases are allowed to expand isothermally to same final volume $2\;V$. The change in pressures of the gas in $A$ and $B$ are found to be $\Delta p\;{\rm{and}}\;1.5\;\Delta p$ respectively. Then

NEET UG PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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Analyzing +4 | -1

Two identical vessels

A

and

B

with frictionless pistons conatin the same ideal gas at the same temperature and the same volume

V

. The masses of gas in

A

and

B

are

{m_A}\;\mathrm{and}\;{m_B}

respectively. The gases are allowed to expand isothermally to same final volume

2\;V

. The change in pressures of the gas in

A

and

B

are found to be

\Delta p\;\mathrm{and}\;1.5\;\Delta p

respectively. Then

View answer and explanation

Correct option: A

9{m_A} = 4{m_B}

Option A (

9{m_A} = 4{m_B}

) is correct because it is derived from the ideal gas law and the given relationship between the pressure changes in the two vessels.

Practice All Chapter MCQs →

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1 \mathrm{~cm}

0^{\circ} \mathrm{C}

40^{\circ} \mathrm{C}

3.4 \times 10^5 \mathrm{~J} \mathrm{~kg}^{-1}

\left. {0.05{\text{W}}{{\text{m}}^{ - 1}}^\circ {{\text{C}}^{ - 1}}} \right)

2 \times 10^5 \mathrm{~J} / \mathrm{sm}^2

127^{\circ} \mathrm{C}

32 \times 10^5 \mathrm{~J} / \mathrm{s}-\mathrm{m}^2

\sigma

+ \frac{1}{2}