According to kinetic theory of gases, for a given gas of mass m occupying volume V the pressure P is given by $P = \frac{1}{3} \frac{m}{V} V_{i m s}^{2}$ Where $V_{r m s}$ is the root mean square velocity of the gas molecules. Then column – I gives the conditions while column – II gives dependence of pressure of gas.
Column – I Column – II
I) If volume and temperature of gas are constant, then pressure exerted by gas is P) Proportional to mass
II) If mass and temperature of gas are constant, then pressure exerted by gas is Q) Constant
III) If mass and volume of gas are constant then pressure exerted by gas is R) Inversely proportional to volume of gas
IV) For a given mass of gas at constant temperature in fixed container, then pressure exerted by gas is S) Proportional to absolute temperature of gas
T) Independent of temperature

Question

According to kinetic theory of gases, for a given gas of mass m occupying volume V the pressure P is given by $P = \frac{1}{3} \frac{m}{V} V_{i m s}^{2}$ Where $V_{r m s}$ is the root mean square velocity of the gas molecules. Then column – I gives the conditions while column – II gives dependence of pressure of gas.

	Column – I		Column – II
I)	If volume and temperature of gas are constant, then pressure exerted by gas is	P)	Proportional to mass
II)	If mass and temperature of gas are constant, then pressure exerted by gas is	Q)	Constant
III)	If mass and volume of gas are constant then pressure exerted by gas is	R)	Inversely proportional to volume of gas
IV)	For a given mass of gas at constant temperature in fixed container, then pressure exerted by gas is	S)	Proportional to absolute temperature of gas
		T)	Independent of temperature

Infinity Learn · Accepted Answer

$I \to S I I \to P I I I \to T I V \to Q$

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