alleryThe pressure of an ideal gas in kinetic theory is given by:
A$P = \frac{1}{3} \frac{N}{V} m \overline{v^2}$
B$P = \frac{1}{2} \frac{N}{V} m \overline{v^2}$
C$P = nRT$ only
D$P = N m v$
Answer & Solution
Correct answer: A. $P = \frac{1}{3} \frac{N}{V} m \overline{v^2}$
$P = (1/3)(N/V) m \langle v^2 \rangle$.
Derived from molecular collisions with container walls: each molecule transfers momentum $2 m v_x$ per collision
averaging gives the factor 1/3.
Keep practising Kinetic Theory & Oscillations
Browse all Kinetic Theory & Oscillations questions for Karnataka PUC I, or explore more Physics topics.
Related questions
NEET · Physics · Oscillation Period — Gap FillNEET · Physics · Kinetic Theory — SortA diatomic ideal gas has $C_v = \tfrac{5}{2}R$. Its $C_p$ and ratio $\gamma$ are:If $x_1 = A in(\omega t)$ and $x_2 = A in(\omega t + \pi/3)$, the resultant amplitude of $Two springs of constants $k_1$ and $k_2$ connected in **series** have effective spring conA spring of force constant $k$ is cut into two equal halves. The force constant of each haThe phase difference between displacement $x$ and velocity $v$ in SHM is:A simple pendulum of period $T$ on Earth is taken to the Moon where $g_{moon} = g/6$. Its