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(D) The total internal energy (average kinetic energy) of an ideal gas is given by the formula $E = \frac{3}{2} PV$.Given:Volume $V = 20 \, L = 20 	i

Vedclass · Accepted Answer

$5 	imes 10^6 \, N/m^2$

Vedclass · Answer

(D) The total internal energy (average kinetic energy) of an ideal gas is given by the formula $E = \frac{3}{2} PV$.Given:Volume $V = 20 \, L = 20 	imes 10^{-3} \, m^3$.Total kinetic energy $E = 1.5 	imes 10^5 \, J$.Rearranging the formula for pressure $P$:$P = \frac{2E}{3V}$.Substituting the values:$P = \frac{2 	imes (1.5 	imes 10^5)}{3 	imes (20 	imes 10^{-3})}$.$P = \frac{3 	imes 10^5}{60 	imes 10^{-3}} = \frac{3 	imes 10^5}{6 	imes 10^{-2}} = 0.5 	imes 10^7 = 5 	imes 10^6 \, N/m^2$.

$A$ cylinder has a capacity of $20 \, L$ and is filled with $H_2$ gas. The total average kinetic energy of the gas is $1.5 \times 10^5 \, J$. What is the pressure of the hydrogen gas?

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