A container has two chambers of volumes \(V_1=2~\text{litres}\) and \(V_2=3~\text{litres}\) separated by a partition made of a thermal insulator. The chambers contains \( n_1=5\) and \( n_2=4\) moles of ideal gas at pressures \(p_1=1~\text{atm}\) and \(p_2=2~\text{atm},\) respectively. When the partition is removed, the mixture attains an equilibrium pressure of:
1. \(1.4 ~\text{atm}\)
2. \(1.8 ~\text{atm}\)
3. \(1.3 ~\text{atm}\)
4. \(1.6 ~\text{atm}\)
Subtopic:  Ideal Gas Equation |
Level 3: 35%-60%
NEET - 2025
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An oxygen cylinder of volume \(30\) litre has \(18.20\) moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to \(11\) atmospheric pressure at temperature \(27^{\circ} \text{C}.\) The mass of the oxygen withdrawn from the cylinder is nearly equal to:
\([\)Given, \(R=\frac{100}{12}~ \text{J} \mathrm{~mol}^{-1} {~\text K}^{-1},\) and molecular mass of \(O_2=32,\) \(1\) atm pressure \(\left.=1.01 \times 10^5 \mathrm{~N} / \mathrm{m}\right]\)
1. \(0.116\text{ kg}\)
2. \(0.156\text{ kg}\)
3. \(0.125\text{ kg}\)
4. \(0.144\text{ kg}\)
Subtopic:  Ideal Gas Equation |
Level 4: Below 35%
NEET - 2025
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The following graph represents the \(T\text -V\) curves of an ideal gas (where \(T\) is the temperature and \(V\) the volume) at three pressures \(P_1, P_2\) and \(P_3\) compared with those of Charles's law represented as dotted lines.
                      
Then the correct relation is :
1. \(P_1>P_3>P_2 \) 2. \(P_2>P_1>P_3 \)
3. \( P_1>P_2>P_3\) 4. \(P_3 > P_2>P_1\)
Subtopic:  Ideal Gas Equation |
 67%
Level 2: 60%+
NEET - 2024
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An ideal gas at \(0^{\circ}\text{C}\) and atmospheric pressure \(P\) has volume \(V.\) The percentage increase in its temperature needed to expand it to \(3V\) at constant pressure is:
1. \(100\%\) 2. \(200\%\)
3. \(300\%\) 4. \(50\%\)
Subtopic:  Ideal Gas Equation |
 71%
Level 2: 60%+
NEET - 2024
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A container of volume \(200\) cm3 contains \(0.2\) mole of hydrogen gas and \(0.3\) mole of argon gas. The pressure of the system at temperature \(200\) K (\(R=8.3\) JK–1 mol–1) will be:
1. \( 6.15 \times 10^5 ~\text{Pa} \)
2. \( 6.15 \times 10^4 ~\text{Pa} \)
3. \( 4.15 \times 10^5 ~\text{Pa} \)
4. \( 4.15 \times 10^6 ~\text{Pa}\)
Subtopic:  Ideal Gas Equation |
 61%
Level 2: 60%+
NEET - 2023
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The volume occupied by the molecules contained in \(4.5~\text{kg}\) water at STP, if the molecular forces vanish away, is:
1. \(5.6~\text{m}^3\) 
2. \(5.6\times10^{6}~\text{m}^3\)
3. \(5.6\times10^{3}~\text{m}^3\) 
4. \(5.6\times10^{-3}~\text{m}^3\)
Subtopic:  Ideal Gas Equation |
Level 3: 35%-60%
NEET - 2022
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A cylinder contains hydrogen gas at a pressure of \(249~\text{kPa}\) and temperature \(27^\circ\text{C}.\) Its density is:
(\(R=8.3~\text{J mol}^{-1} \text {K}^{-1}\))
1. \(0.2~\text{kg/m}^{3}\)
2. \(0.1~\text{kg/m}^{3}\)
3. \(0.02~\text{kg/m}^{3}\)
4. \(0.5~\text{kg/m}^{3}\)

Subtopic:  Ideal Gas Equation |
 62%
Level 2: 60%+
NEET - 2020
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An ideal gas equation can be written as \(P = \dfrac{ρRT}{M_{0}}\) where \(\rho\) and \(M_{0}\) are respectively:
1. mass density, the mass of the gas.
2. number density, molar mass.
3. mass density, molar mass.
4. number density, the mass of the gas.

Subtopic:  Ideal Gas Equation |
 79%
Level 2: 60%+
NEET - 2020
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