(2018·商丘一中押題卷)如圖所示，用絕熱光滑活塞把汽缸內的理想氣體分A、B兩部分，初態時已知A、B兩部分氣...

問題詳情：

(2018·商丘一中押題卷)如圖所示，用絕熱光滑活塞把汽缸內的理想氣體分A、B兩部分，初態時已知A、B兩部分氣體的熱力學溫度分別爲330 K和220 K，它們的體積之比爲2∶1，末態時把A氣體的溫度升高70 ℃，把B氣體溫度降低20 ℃，活塞可以再次達到平衡。求氣體A初態的壓強p0與末態的壓強p的比值。

【回答】

【解析】：設活塞原來處於平衡狀態時A、B的壓強相等爲p0，後來仍處於平衡狀態壓強相等爲p。根據理想氣體狀態方程，對於A有：                             ......................................................... ①

對於B有：.................................................................................................②

化簡得.......................................................................................................       ③

由題意設VA＝2V0，VB＝V0，.....................................................................................④                                                                                                                                                                

汽缸的總體積爲V＝3V0...................................................................................................................................................⑤                                                                                                                                                                                                                                                                                                                                                                         

所以可得：VA′＝V＝V0......................................................................................................................................             ⑥                                                                                                                                                                                                                                                                                                            

將④⑥代入①式得：＝.........................................................................................⑦

知識點：未分類

題型：計算題