JEE Main Physics: Kinetic Theory of Gases Practice Questions

24 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$According to the kinetic theory of gases, the average kinetic energy of a gas molecule is directly proportional to which of the following?$
Easy
Q2.
$What is the value of the degrees of freedom for a monoatomic gas molecule?$
Easy
Q3.
$The root mean square speed of gas molecules is given by which expression?$
Easy
Q4.
$At what temperature will the root mean square speed of oxygen molecules be double its value at 27 degrees Celsius?$
Easy
Q5.
$Which of the following assumptions is made in the kinetic theory of ideal gases?$
Easy
Q6.
$Two identical containers contain helium and neon gas respectively at the same temperature and pressure. The ratio of the root mean square speeds of the helium a$
Medium
Q7.
$A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting vibrational modes, the total internal energy of the system is$
Medium
Q8.
$The mean free path of gas molecules depends on the diameter d of the molecules as$
Medium
Q9.
$If the pressure of an ideal gas is doubled and the volume is halved, the temperature of the gas will$
Medium
Q10.
$The ratio of the adiabatic exponent gamma for a mixture of 1 mole of a monatomic gas and 2 moles of a diatomic gas is$
Medium
Q11.
$A mixture of two ideal gases with adiabatic exponents gamma1 and gamma2 and mole fractions x1 and x2 is kept in a container. What is the effective adiabatic exp$
Hard
Q12.
$A vessel contains a gas at pressure P and temperature T. If the gas is replaced by another gas of molecular weight twice the first, at temperature 2T and pressu$
Hard
Q13.
$Consider a gas of particles with mass m in a gravitational field g. The number density n(h) at height h follows the Boltzmann distribution. What is the ratio of$
Hard
Q14.
$A container of volume V is divided into two parts by a partition. One part contains n moles of an ideal gas at temperature T, and the other is vacuum. If the pa$
Hard
Q15.
$The mean free path of a gas molecule is lambda. If the temperature is doubled and the pressure is halved, what is the new mean free path?$
Hard
Q16.
$If the root mean square speed of hydrogen molecules at a temperature T is v, then the root mean square speed of oxygen molecules at the same temperature is$
Medium
Q17.
$The pressure of an ideal gas is increased by keeping the temperature constant. What happens to the mean free path of the gas molecules?$
Medium
Q18.
$A g a s f o l l o w s t h e l a w P V^{2} = co n s t an t . W ha t i s t h e m o l a r h e a t c a p a c i t y o f t hi s g a s i f i t i s d ia t o mi c ?$
Hard
Q19.
$Two containers of volume V1 and V2 contain the same ideal gas at pressures P1 and P2 and temperatures T1 and T2 respectively. If they are connected, what is the$
Hard
Q20.
$An ideal gas undergoes a process where its molar heat capacity is C = R/2. If the gas is monatomic, what is the work done by the gas when its temperature increa$
Hard
Q21.
$For an ideal gas, the equation of state is given by which of the following?$
Easy
Q22.
$What is the root mean square speed of a gas molecule at absolute temperature T with molar mass M?$
Easy
Q23.
$If the temperature of an ideal gas is doubled and the volume is halved, what happens to the pressure?$
Easy
Q24.
$The degrees of freedom for a monoatomic gas molecule is equal to which value?$
Easy

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