迷跌箱 發問時間: 科學其他:科學 · 8 年前

熱統計物理,1小題不會 ? 理想氣體方程式

An ideal gas originally at a temperature T1 and pressure P1 is compressed reversibly against a piston to a volume equal to one-half its original volume.The temperature of the gas is varied during the compression so that at each instant

the relation P=AV is satisfied,A=constant.

(a)Find the work done on the gas in terms of n,R,and T1.

只問這小題 拜託了, 其餘選項我都會了 ,謝謝

1 個解答

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  • LI
    Lv 7
    8 年前
    最佳解答

    ∵是理想氣體,∴p1V1 = nRT1作功路徑為p=AVp1=AV1→AV1*V1= nRT1 W=∫pdV ,由體積V1到體積(V1/2)=∫AVdV=A/2*V^2= A/2*[(V1/2)^2 – V1^2 ]= - 3/8 *AV1^2= - 3/8 *nRT1

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