Question

5£®ÈçͼËùʾ£¬Ìå»ýΪV₀µÄÈÝÆ÷ÄÚÓÐÒ»¸ö±¡µÄ»îÈû£¬»îÈûµÄ½ØÃæ»ýΪS£¬ÓëÆø¸×ÄÚ±ÚÖ®¼äµÄ»¬¶¯Ä¦²ÁÁ¦Îªf£¬×î´ó¾²Ä¦²ÁÁ¦½üËƵÈÓÚ»¬¶¯Ä¦²ÁÁ¦£®ÔÚÆø¸×ÄÚ³äÓÐÒ»¶¨ÖÊÁ¿µÄÀíÏëÆøÌ壬³õʼ״̬Ìå»ýΪ$\frac{2}{3}{V_0}$£¬Î¶ÈΪT₀£¬ÆøÌåѹǿÓëÍâ½ç´óÆøѹ¾ùΪP₀£®ÏÖ»ºÂý¼ÓÈÈÆøÌ壬ʹ»îÈû»ºÂýÒƶ¯ÖÁÆø¸×¿Ú£¬Çó£º
¢Ù»îÈû¸ÕÒª¿ªÊ¼Òƶ¯Ê±£¬ÆøÌåµÄζȣ»
¢Ú»îÈû¸ÕÒƶ¯ÖÁÆø¸×¿Úʱ£¬ÆøÌåµÄζȣ®

Answer 1

·ÖÎö ¢ÙÆøÌå¸ÕÒª¿ªÊ¼Òƶ¯Ö®Ç°£¬ÆøÌåµÄÌå»ý²»±ä£¬ÆøÌå×öµÈÈݱ仯£¬¸ù¾Ý²éÀí¶¨ÂɿɵóöѹǿºÍζȹØϵ£»ÔÙÓÉƽºâ¹Øϵ¿ÉÇóµÃѹǿ´óС£»ÁªÁ¢¿ÉÇóµÃζȣ»
¢Ú»îÈûÒƶ¯¹ý³Ì£¬ÆøÌåѹǿ²»±ä£»¸ù¾Ý¸Ç-ÂÀÈø¿Ë¶¨ÂÉ¿ÉÇóµÃºóÀ´µÄζȣ®

½â´ð ½â£º¢ÙÆøÌå·¢ÉúµÈÈݱ仯£¬
ÓÐ$\frac{P_0}{T_0}=\frac{P_1}{T_1}$
¸ù¾Ýƽºâ¹ØϵÓУº
P₁s=P₀s+f
½âµÃ£º${T_1}={T_0}£¨1+\frac{f}{{{P_0}s}}£©$
¢ÚÆøÌå·¢ÉúµÈѹ±ä»¯£¬ÓÐ$\frac{V_1}{T_1}=\frac{V_2}{T_2}$
ÓÉÌâÒâ¿ÉÖª£º
${V_2}={V_0}£¬{V_1}=\frac{2}{3}{V_0}$
½âµÃ£º${T_2}=\frac{3}{2}{T_0}£¨1+\frac{f}{{{P_0}s}}£©$
´ð£º¢Ù»îÈû¸ÕÒª¿ªÊ¼Òƶ¯Ê±£¬ÆøÌåµÄζÈΪT₀£¨1+$\frac{f}{{P}_{0}s}$£©
¢Ú»îÈû¸ÕÒƶ¯ÖÁÆø¸×¿Úʱ£¬ÆøÌåµÄζÈΪ$\frac{3}{2}{T}_{0}$£¨1+$\frac{f}{{P}_{0}s}$£©

µãÆÀ ±¾Ì⿼²éÀíÏëÆøÌåµÄʵÑé¹æÂɵÄÓ¦Óã¬Òª×¢ÒâÕýÈ··ÖÎöÆøÌå±ä»¯¹ý³Ì£¬Ã÷È·ÆøÌå¾­ÀúÁ˵ÈÈݺ͵Èѹ±ä»¯£»ÕýÈ·Ñ¡ÔñÎïÀí¹æÂÉÇó½â¼´¿É£®