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# 理想气体 压强公式 的量纲分析 - PowerPoint PPT Presentation

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## PowerPoint Slideshow about ' 理想气体 压强公式 的量纲分析' - libba

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dimn = L-3(曾用[n]表示dimn)，dimm = M，dimv = LT-1，dimp = (dimF)/L2 = L-1MT-2.

dimp = dim(nmv) =(dimn)(dimm)(dimv) = (L-3)M(LT-1) = L -3MT-.

 = 1， = 2， = (1+)/3 = 1.故由量纲分析得： p  nmv2.

[另一解法] dimn = L-3，dimm = M，dimv = LT-1， dimp = (dimF)/L2 = L-1MT-2

dimp = L-1MT-2= L2-3MT-2 = (L-3)(M)(L2T-2) =(dimn)(dimm)[dim(v2)] = dim(nmv2).故由量纲分析得：p  nmv2.

A为一无量纲量，则有压强公式：p = Anmv2.可以证明在此压强公式中的A = /8.