Student Login

Home›Chapters›Thermodynamics PYQs›Gas Laws & Ideal Gas Equation›Question 84

NEET 1991 (AIPMT) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from NEET 1991 (AIPMT)

Q84NEET 1991 · AIPMTEasy

Gas Laws & Ideal Gas Equation

Relation between pressure ( $P$ ) and energy ( $E$ ) of a gas is

Show answer and solution

Answer: (a)

Kinetic theory: $P = \dfrac{1}{3}\rho \bar{v^2}$ , and KE per unit volume $E = \dfrac{1}{2}\rho \bar{v^2}$ .
$P = \dfrac{2}{3}\left(\dfrac{1}{2}\rho \bar{v^2}\right) = \dfrac{2}{3}E$
So the answer is (a) $P = \frac{2}{3}E$ .

Report a mistake

More questions on Gas Laws & Ideal Gas Equation

For hydrogen gas CP - CV = a and for oxygen gas CP - CV = b, so the relation between a…NEET 1991 (AIPMT)
Two containers A and B are partly filled with water and closed. The volume of A is twice…NEET 1988 (AIPMT)
At constant temperature, the volume of a gas is to be decreased by 4%. The pressure must…MHT CET 2026 (14 May, Shift 2)
A balloon contains 500 m ³ of He at 27° C and 1 atmospheric pressure. Then, volume of He…MHT CET 2026 (13 May, Shift 2)
The pressure of a given mass of a gas is decreased by 20% at constant temperature, then…MHT CET 2026 (12 May, Shift 1)
An ideal gas is heated from 27° C to 627° C at constant pressure. If initial volume of…MHT CET 2026 (18 Apr, Shift 1)
A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has…JEE Main 2026 (24 Jan, Shift 1)
The gas in a vessel is subjected to a pressure of 20 atm. at 27° C. Now half of the gas…MHT CET 2026 (15 May, Shift 1)