JEE Main · PhysicsHard
A vessel contains a gas at pressure $P$ and temperature $T$. If the gas is replaced by another gas of molecular weight $M_2 = 2M_1$, at temperature $T_2 = 2T$ and pressure $P_2 = P/2$, what is the ratio of the root mean square speeds $v_{\text{rms}, 1} / v_{\text{rms}, 2}$?
- A.$1:1$
- B.$1:2$
- C.$1:\sqrt{2}$
- D.$\sqrt{2}:1$
Show correct answer & step-by-step solution
Correct answer: C — $1:\sqrt{2}$
Solution
. Thus, . Wait, recalculating: . The ratio is 1:1.
Attempt this question & track your score
Sign up free to answer, get instant scoring, and let SolveGini track which Physics topics you need to revise.
Attempt & Track Free →More Kinetic Theory of Gases practice questions
- According to the kinetic theory of gases, the average kinetic energy of a gas molecule is directly proportional to which
- What is the value of the degrees of freedom for a monoatomic gas molecule?
- The root mean square speed of gas molecules is given by which expression?
- At what temperature will the root mean square speed of oxygen molecules be double its value at 27 degrees Celsius?
- Which of the following assumptions is made in the kinetic theory of ideal gases?
- Two identical containers contain helium and neon gas respectively at the same temperature and pressure. The ratio of the
- A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting vibrational modes, the tot
- The mean free path of gas molecules depends on the diameter d of the molecules as
- If the pressure of an ideal gas is doubled and the volume is halved, the temperature of the gas will
- The ratio of the adiabatic exponent gamma for a mixture of 1 mole of a monatomic gas and 2 moles of a diatomic gas is
- A mixture of two ideal gases with adiabatic exponents gamma1 and gamma2 and mole fractions x1 and x2 is kept in a contai
- Consider a gas of particles with mass m in a gravitational field g. The number density n(h) at height h follows the Bolt