Kinetic Theory of Gases
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See all →- 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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature 27^°C. The mass of the oxygen withdrawn from the cylinder is nearly… Answer: 3. 0.116 kg Key idea: use PV=nRT for the gas left, then subtract from the initial moles. The gauge pressure must be converted to abs... 1
- A container has two chambers of volumes V_1 = 2 litres and V_2 = 3 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 atm and p_2 = 2 atm, respectively. When… Answer: 2. 1.6 atm Key idea: no heat or work leaves the container, so the total internal energy is conserved. For the same gas, this gives n... 1
- The following graph represents the T-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: Answer: 1. P₁>P₂>P₃ Key idea: For an ideal gas PV=nRT , so at fixed pressure T=P/nRV : the T-V line has slope P/nR . A larger pressure gives... 1
- The temperature of a gas is -50^° C. To what temperature the gas should be heated so that the rms speed is increased by 3 times? Answer: 3. 3295^° C v_rms∝√(T) . The key reads \"increased by 3 times\" as the speed becoming v+3v=4v . T₁ = -50+273=223 K. v₂/v₁=4⇒ T₂=16T₁... 1
- The volume occupied by the molecules contained in 4.5 kg water at STP, if the intermolecular forces vanish away is : Answer: 1. 5.6 m ³ With intermolecular forces gone, the water molecules behave like an ideal gas, and one mole occupies 22.4 L at STP. Moles... 1
- Match Column - I and Column - II and choose the correct match from the given choices.Column - I: (A) Root mean square speed of gas molecules; (B) Pressure exerted by ideal gas; (C) Average kinetic energy of a molecule; (D) Total internal energy of 1… Answer: 3. (A) - (Q), (B) - (P), (C) - (S), (D) - (R) (A) rms speed =√(3RT/M) matches Q. (B) Pressure =1/3 nmbar v² matches P. (C) Average k... 1