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A sample of ideal gas is expanded to twice its original volume of $1 m^{3}$ in quasistatic process for which $P = α V^{2}$ with $α = 3 \times 10^{5} P a / m^{6}$ as shown in figure. Work done by the expanding gas is

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detailed solution

Correct option is A

Work done, W=∫V1V2 αV2dVW=αV3312=3×1053×23−13W=7×105J

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A sample of ideal gas is expanded to twice its original volume of 1m3 in quasistatic process for which P=αV2 with α=3×105Pa/m6 as shown in figure. Work done by the expanding gas is

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A sample of ideal gas is expanded to twice its original volume of $1 m^{3}$ in quasistatic process for which $P = α V^{2}$ with $α = 3 \times 10^{5} P a / m^{6}$ as shown in figure. Work done by the expanding gas is