A vessel of volume 10 text{ liters} is filled | vedclass

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Question

(B) The relationship between pressure $P$,volume $V$,and total translational kinetic energy $E$ is given by the formula: $P = \frac{2}{3} \frac{E}{V}$

Vedclass · Accepted Answer

$30 	imes 10^6 	ext{ Nm}^{-2}$

Vedclass · Answer

(B) The relationship between pressure $P$,volume $V$,and total translational kinetic energy $E$ is given by the formula: $P = \frac{2}{3} \frac{E}{V}$.Given:Volume $V = 10 	ext{ liters} = 10 	imes 10^{-3} 	ext{ m}^3 = 10^{-2} 	ext{ m}^3$.Total kinetic energy $E = 4.5 	imes 10^5 	ext{ J}$.Substituting these values into the formula:$P = \frac{2}{3} 	imes \frac{4.5 	imes 10^5}{10^{-2}}$$P = \frac{2}{3} 	imes 4.5 	imes 10^7$$P = 3 	imes 10^7 	ext{ Nm}^{-2} = 30 	imes 10^6 	ext{ Nm}^{-2}$.Thus,the correct option is $B$.

$A$ vessel of volume $10 \text{ liters}$ is filled with $H_2$ gas. The total average translational kinetic energy of its molecules is $4.5 \times 10^5 \text{ J}$. The pressure of hydrogen in the vessel is

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