Question

10£®²âÁ¿´óÃ×µÄÃܶÈÓжàÖÖ·½·¨£¬µ«Ô­Àí¶¼Ïàͬ£¬¼´¦Ñ=$\frac{m}{V}$£®
ÓÃÁ¿¼òÖ±½Ó²âÁ¿´óÃ×Ìå»ý£¨Í¼ÒÒ£©£¬Ëù²âµÃµÄÌå»ýÖµÓë׼ȷֵ±ÈÆ«´ó£¨Ñ¡Ìî¡°Æ«´ó¡±¡¢¡°Æ«Ð¡¡±£©£¬½á¹û¦Ñ_²â£¼ ¦Ñ_Õ森£¨Ñ¡Ìî¡°=¡±¡¢¡°£¼¡±¡¢¡°£¾¡±£©£¨×¢£ºÃ×Á£Ö®¼ä´æÔÚ¿Õ϶£©
°´Í¼¼×µÄ·½·¨²âÁ¿´óÃ×µÄÖÊÁ¿£¬Ê¹ÓÃÍÐÅÌÌìƽ³ÆÈ¡5g´óÃ×£®³ÆÁ¿¹ý³ÌÖз¢ÏÖÌìƽָÕëÆ«ÏòÓұߣ¬½ÓÏÂÀ´µÄ²Ù×÷ÊÇÏò×óÅÌÖÐÌí¼Ó´óÃ×Ö±ÖÁÌìƽƽºâ£®
ÓÃÅÅ¿ÕÆøµÄ·½·¨²âÁ¿´óÃ×µÄÌå»ý£¨Í¼±û£©£º½«´óÃ×Óë¿ÕÆøÃÜ·âÔÚÒ»¸ö×¢ÉäÆ÷ÄÚ£¬²â³ö×¢ÉäÆ÷ÄÚÆøÌåºÍ´óÃ×µÄ×ÜÌå»ý¼°ÆøÌåµÄÌå»ý£¬Æä²îÖµ¾ÍÊÇ´óÃ×µÄÌå»ý£®
²éÔÄ×ÊÁϵÃÖª£ºÎ¶Ȳ»±äʱ£¬Ò»¶¨ÖÊÁ¿ÆøÌåµÄÌå»ýÓëÆäѹǿµÄ³Ë»ýÊǶ¨Öµ£¬¼´p₁V₁=p₂V₂£®
ÏְѳÆÈ¡µÄ5g´óÃ××°Èë×¢ÉäÆ÷ÄÚ£¬´Ó×¢ÉäÆ÷µÄ¿Ì¶ÈÉ϶Á³ö´óÃ׺ÍÆøÌåµÄ×ÜÌå»ý£¬Í¨¹ýѹǿ´«¸ÐÆ÷²â³ö´ËʱעÉäÆ÷ÄÚÆøÌåѹǿΪp£»¶øºó½«×¢ÉäÆ÷ÄÚµÄÆøÌ建ÂýѹËõ£¬×¢ÉäÆ÷ÄÚÆøÌåѹǿÔö´óΪ2pʱ£¬ÔÙ¶Á³ö´ËʱµÄ×ÜÌå»ý£¨Ñ¹Ëõ¹ý³ÌÖдóÃ×µÄÌå»ý¡¢ÆøÌåµÄζȾù²»±ä£©£¬¼Ç¼Ïà¹ØÊý¾ÝÈç±í£®

	×¢ÉäÆ÷ÄÚÆøÌåѹǿ	×¢ÉäÆ÷ÄÚÆøÌåºÍ´óÃ×µÄ×ÜÌå»ý	×¢ÉäÆ÷ÄÚÆøÌåÌå»ý
ѹËõÇ°	p	23cm3	V
ѹËõºó	2p	13cm3	0.5V

¼ÆËãµÃ×¢ÉäÆ÷ÄÚ´óÃ×µÄÌå»ýΪ3cm³£®ÓÉʵÑé²âµÃ´óÃ×µÄÃܶÈΪ1.67g/cm³£®

Answer 1

·ÖÎö ²âÁ¿ÃܶȵÄʵÑé°üÀ¨²â¹ÌÌåµÄÃܶȺͲâÒºÌåµÄÃܶȣ¬ËüÃǵÄÔ­Àí¶¼ÊÇÏàͬµÄ£¬¶¼ÒªÒÀ¾ÝÃܶȵĹ«Ê½£®
ÒòΪ´óÃ×Ö®¼ä´æÔÚ¿Õ϶£¬ËùÒÔÓÃÁ¿Í²Ö±½Ó²âÁ¿´óÃ×µÄÌå»ý£¬»áʹ²âÁ¿ÖµÆ«´ó£»
Ã÷È·ÁËÒª³ÆÁ¿³öµÄ´óÃ×µÄÖÊÁ¿£¬Ó¦¹Ì¶¨íÀÂ룬Ïò×óÅÌÖÐÌí¼Ó´óÃ×£¬Ö±µ½Ììƽƽºâ£»

½â´ð ½â£º²â¶¨ÎïÖÊÃܶȵÄÔ­ÀíÊÇÃܶȹ«Ê½¦Ñ=$\frac{m}{V}$£®
ÒòΪ´óÃ×Ö®¼ä´æÔÚ¿Õ϶£¬ËùÒÔÓÃÁ¿Í²Ö±½Ó²âÁ¿´óÃ×µÄÌå»ý£¬»áʹ²âÁ¿ÖµÆ«´ó£¬½á¹û¦Ñ_²â£¼¦Ñ_Õ棻
ÒòΪÏÂÃæʵÑéÖÐÓõĴóÃ×µÄÖÊÁ¿Îª5g£¬ËùÒÔ5gµÄíÀÂëÊDz»ÄܸıäµÄ£¬¹ÊÓ¦µ±Ïò×óÅÌÖÐÌí¼Ó´óÃ×Ö±µ½ºáÁºÆ½ºâΪֹ£»
¸ù¾ÝζȲ»±äʱ£¬Ò»¶¨ÖÊÁ¿ÆøÌåµÄÌå»ýÓëÆäѹǿµÄ³Ë»ýÊǶ¨Öµ£®ËùÒÔѹËõÇ°×¢ÉäÆ÷ÄÚ¿ÕÆøµÄÌå»ý£ºV=23ml-V_´óÃ×£»Ñ¹Ëõºó×¢ÉäÆ÷ÄÚ¿ÕÆøµÄÌå»ý£º0.5V=13ml-V_´óÃ×£®
¸ù¾ÝÌâÒâ¿ÉÒԵõ½£ºP¡Á£¨23ml-V_´óÃ×£©=2P¡Á£¨13ml-V_´óÃ×£©£¬
ËùÒÔ´óÃ×µÄÌå»ýV_´óÃ×=3ml=3cm³£¬ËùÒÔ´óÃ×µÄÃܶȦÑ=$\frac{m}{{V}_{´óÃ×}}$=$\frac{5g}{3c{m}^{3}}$=1.67g/cm³
¹Ê´ð°¸Îª£º$\frac{m}{V}$£»£¼£»Ïò×óÅÌÖÐÌí¼Ó´óÃ×Ö±ÖÁÌìƽƽºâ£»3£»1.67£®

µãÆÀ ´ËÌâÖÐÒòΪ´óÃ×µÄÌå»ý²»ºÃÖ±½Ó²âÁ¿£¬Òò´ËÓõ½¼ä½Ó²âÁ¿·¨£®Í¨¹ý¡°Î¶Ȳ»±äʱ£¬Ò»¶¨ÖÊÁ¿ÆøÌåµÄÌå»ýÓëÆäѹǿµÄ³Ë»ýÊǶ¨Öµ¡±À´Çó³ö´óÃ×µÄÌå»ý£¬ÔÙ¸ù¾Ý¹«Ê½¦Ñ=$\frac{m}{V}$Çó³ö´óÃ×µÄÃܶȣ®¼ä½Ó²âÁ¿·¨µÄÓ¦ÓúÜÖµµÃ½è¼øºÍѧϰ£®