ÌâÄ¿ÄÚÈÝ
£¨2011?´óÇ죩ÔÚ»¨»ÜÊг¡ÉϾ³£¼ûµ½ÓÃÓªÑøÒºÅàÓý¹ÛÉÍÖ²ÎÅäÖÆÓªÑøÒºµÄÖ÷ÒªÊÔ¼ÁÖ®Ò»ÊÇÖÊÁ¿·ÖÊýΪ1.4%µÄKNO3ÈÜÒº£¬ÏÖÓûÅäÖÆÕâÖÖKNO3ÈÜÒº200¿Ë£®
£¨1£©ÐèKNO3¹ÌÌå
£¨2£©ÅäÖÆ´ËKNO3ÈÜÒºµÄ²½ÖèΪ£ºa¡¢¼ÆËã b¡¢³ÆÁ¿£¨Á¿È¡£©c¡¢Èܽâ d¡¢×°ÈëÊÔ¼ÁÆ¿£®
ÏÖÓÐÒÔÏÂʵÑéÒÇÆ÷£ºÍÐÅÌÌìƽ¼°íÀÂë¡¢Á¿Í²¡¢Ò©³×¡¢Õô·¢Ãó¡¢½ºÍ·µÎ¹Ü¡¢ÉÕ±¡¢ÊÔ¼ÁÆ¿£®
ÔÚÒÔÉϸø³öµÄÒÇÆ÷ÖУ¬ÓÐÒ»¸öÒÇÆ÷ÔÚÅäÖÆÈÜÒº¹ý³ÌÖв»ÐèÒªµÄÊÇ
£¨3£©ÏÂÁз½·¨ÄÜʹ½Ó½ü±¥ºÍKNO3ÈÜÒºÓɲ»±¥ºÍ±äΪ±¥ºÍµÄÊÇ
¢Ù¼ÓË® ¢Ú¼ÓKNO3¹ÌÌå ¢ÛÕô·¢Ë® ¢ÜÀäÈ´ ¢Ý¼ÓÈȵ«±£³ÖÈÜÒºÖÊÁ¿²»±ä ¢Þ¼Ó±¥ºÍKNO3ÈÜÒº
£¨4£©ÏÖÏòKNO3±¥ºÍÈÜÒºÖУ¬ÖðµÎ¼ÓˮϡÊÍʹÆäÖÊÁ¿·ÖÊý½µÖÁ1.4%£¬ÔÚ´ËÏ¡Ê͹ý³ÌÖУ¬·ûºÏ´ËÈÜÒºÖÐÈÜÖÊÖÊÁ¿±ä»¯¹æÂɵÄͼʾÊÇ
£¨5£©ÔÚ1¡æʱKNO3Èܽâ¶ÈΪS¿Ë£¬¸ÃζÈÏ°Ña¿ËKNO3¹ÌÌåͶÈëµ½b¿ËË®ÖУ¬³ä·Ö½Á°è£®
¢Ùµ±S¡¢a¡¢bÂú×ãµÄ¹ØϵÊÇ
¡Á100%£»
¢Úµ±S¡¢a¡¢bÂú×ãµÄ¹ØϵÊÇ
¡Á100%£¬ÈôҪʹÆäÈÜÖÊÖÊÁ¿·ÖÊý±äΪÔÀ´µÄ
±¶£¬Ðè¼ÓË®
£¨1£©ÐèKNO3¹ÌÌå
2.8
2.8
¿Ë£¬ÐèË®197.2
197.2
mL£®£¨Ë®µÄÃܶÈΪ1.0g/cm3£©£¨2£©ÅäÖÆ´ËKNO3ÈÜÒºµÄ²½ÖèΪ£ºa¡¢¼ÆËã b¡¢³ÆÁ¿£¨Á¿È¡£©c¡¢Èܽâ d¡¢×°ÈëÊÔ¼ÁÆ¿£®
ÏÖÓÐÒÔÏÂʵÑéÒÇÆ÷£ºÍÐÅÌÌìƽ¼°íÀÂë¡¢Á¿Í²¡¢Ò©³×¡¢Õô·¢Ãó¡¢½ºÍ·µÎ¹Ü¡¢ÉÕ±¡¢ÊÔ¼ÁÆ¿£®
ÔÚÒÔÉϸø³öµÄÒÇÆ÷ÖУ¬ÓÐÒ»¸öÒÇÆ÷ÔÚÅäÖÆÈÜÒº¹ý³ÌÖв»ÐèÒªµÄÊÇ
Õô·¢Ãó
Õô·¢Ãó
£¬Í¬Ê±£¬ÈôÒª³É¹¦ÅäÖÆ´ËÈÜÒº£¬»¹È±ÉÙÒ»¸öÖØÒªµÄÒÇÆ÷ÊDz£Á§°ô
²£Á§°ô
£¬´ËÒÇÆ÷ÔÚÅäÖƹý³ÌÖÐËùÆðµÄ×÷ÓÃÊǼÓËÙÈܽâ
¼ÓËÙÈܽâ
£®£¨3£©ÏÂÁз½·¨ÄÜʹ½Ó½ü±¥ºÍKNO3ÈÜÒºÓɲ»±¥ºÍ±äΪ±¥ºÍµÄÊÇ
¢Ú¢Û¢Ü
¢Ú¢Û¢Ü
£®£¨´Ó¢Ù-¢ÞÖÐÑ¡ÐòºÅÌîÈ룩¢Ù¼ÓË® ¢Ú¼ÓKNO3¹ÌÌå ¢ÛÕô·¢Ë® ¢ÜÀäÈ´ ¢Ý¼ÓÈȵ«±£³ÖÈÜÒºÖÊÁ¿²»±ä ¢Þ¼Ó±¥ºÍKNO3ÈÜÒº
£¨4£©ÏÖÏòKNO3±¥ºÍÈÜÒºÖУ¬ÖðµÎ¼ÓˮϡÊÍʹÆäÖÊÁ¿·ÖÊý½µÖÁ1.4%£¬ÔÚ´ËÏ¡Ê͹ý³ÌÖУ¬·ûºÏ´ËÈÜÒºÖÐÈÜÖÊÖÊÁ¿±ä»¯¹æÂɵÄͼʾÊÇ
C
C
£®£¨5£©ÔÚ1¡æʱKNO3Èܽâ¶ÈΪS¿Ë£¬¸ÃζÈÏ°Ña¿ËKNO3¹ÌÌåͶÈëµ½b¿ËË®ÖУ¬³ä·Ö½Á°è£®
¢Ùµ±S¡¢a¡¢bÂú×ãµÄ¹ØϵÊÇ
S¡Ü
100a |
b |
S¡Ü
ʱ£¬ÈÜÖʵÄÖÊÁ¿·ÖÊýΪ100a |
b |
S |
100+S |
¢Úµ±S¡¢a¡¢bÂú×ãµÄ¹ØϵÊÇ
S£¾
100a |
b |
S£¾
ʱ£¬ÈÜÖʵÄÖÊÁ¿·ÖÊýΪ100a |
b |
a |
a+b |
1 |
2 |
a+b
a+b
¿Ë£®·ÖÎö£º£¨1£©¸ù¾ÝÈÜÖÊÖÊÁ¿=ÈÜÒºÖÊÁ¿¡ÁÈÜÖÊÖÊÁ¿·ÖÊý¼´¿ÉÇóµÃÏõËá¼ØµÄÖÊÁ¿£¬ÔÙ¸ù¾ÝÈܼÁÖÊÁ¿=ÈÜÒºÖÊÁ¿-ÈÜÖÊÖÊÁ¿¼´¿ÉÇóµÃË®µÄÖÊÁ¿£¬ÔÙ¸ù¾ÝV=
¼´¿ÉÇóµÃË®µÄÌå»ý£»
£¨2£©¸ù¾ÝÅäÖÆÈÜÒºµÄ²½ÖèÈ·¶¨ÊµÑéÒÇÆ÷£¬¼´¸ù¾Ý³ÆÈ¡¡¢Á¿È¡¡¢ÈܽâËùÐèÒÇÆ÷·ÖÎö£®
£¨3£©±¥ºÍÈÜÒºÊÇÖ¸ÔÚÒ»¶¨Î¶ÈÏ£¬Ò»¶¨Á¿Ë®Öв»ÄܼÌÐøÈܽâ¸ÃÈÜÖʵÄÈÜÒº£»²»±¥ºÍÈÜÒºÊÇÖ¸Ò»¶¨Î¶ÈÏ£¬Ò»¶¨Á¿Ë®Öл¹ÄܼÌÐøÈܽâ¸ÃÈÜÖʵÄÈÜÒº£»Òò´Ë£¬Í¨¹ýÔö¼ÓÈÜÖÊ¡¢Õô·¢Ë®»ò¸Ä±äζȵķ½·¨¿ÉÒ԰Ѳ»±¥ºÍÈÜÒº±ä³É±¥ºÍÈÜÒº£»·´Ö®£¬¿É°Ñ±¥ºÍÈÜÒº±ä³É²»±¥ºÍÈÜÒº£®
£¨4£©¸ù¾Ý¼ÓˮϡÊÍÇ°ºóÈÜÖʵÄÖÊÁ¿²»±ä·ÖÎö£¬ÓÉÓÚÈÜÖÊÖÊÁ¿²»±ä£¬ÈܼÁÖÊÁ¿Ôö¼Ó£¬µ¼ÖÂÈÜÖÊÖÊÁ¿·ÖÊý¼õÉÙ£»
£¨5£©Ö»ÓÐÈÜÒº´ï±¥ºÍ״̬ʱ£¬Èܽâ¶È²ÅÓÐÒâÒ壬¹«Ê½
¡Á100%²ÅÄܱíʾÈÜÒºµÄÖÊÁ¿·ÖÊý£»²»±¥ºÍʱÓÃ
¡Á100%±íʾÈÜÒºµÄÖÊÁ¿·ÖÊý£»¸ù¾Ý¼ÓˮϡÊÍÇ°ºóÈÜÖʵÄÖÊÁ¿²»±äÀ´ÁÐʽ¼ÆËã¼´¿ÉÇó³ö¼ÓË®Á¿£®
m |
¦Ñ |
£¨2£©¸ù¾ÝÅäÖÆÈÜÒºµÄ²½ÖèÈ·¶¨ÊµÑéÒÇÆ÷£¬¼´¸ù¾Ý³ÆÈ¡¡¢Á¿È¡¡¢ÈܽâËùÐèÒÇÆ÷·ÖÎö£®
£¨3£©±¥ºÍÈÜÒºÊÇÖ¸ÔÚÒ»¶¨Î¶ÈÏ£¬Ò»¶¨Á¿Ë®Öв»ÄܼÌÐøÈܽâ¸ÃÈÜÖʵÄÈÜÒº£»²»±¥ºÍÈÜÒºÊÇÖ¸Ò»¶¨Î¶ÈÏ£¬Ò»¶¨Á¿Ë®Öл¹ÄܼÌÐøÈܽâ¸ÃÈÜÖʵÄÈÜÒº£»Òò´Ë£¬Í¨¹ýÔö¼ÓÈÜÖÊ¡¢Õô·¢Ë®»ò¸Ä±äζȵķ½·¨¿ÉÒ԰Ѳ»±¥ºÍÈÜÒº±ä³É±¥ºÍÈÜÒº£»·´Ö®£¬¿É°Ñ±¥ºÍÈÜÒº±ä³É²»±¥ºÍÈÜÒº£®
£¨4£©¸ù¾Ý¼ÓˮϡÊÍÇ°ºóÈÜÖʵÄÖÊÁ¿²»±ä·ÖÎö£¬ÓÉÓÚÈÜÖÊÖÊÁ¿²»±ä£¬ÈܼÁÖÊÁ¿Ôö¼Ó£¬µ¼ÖÂÈÜÖÊÖÊÁ¿·ÖÊý¼õÉÙ£»
£¨5£©Ö»ÓÐÈÜÒº´ï±¥ºÍ״̬ʱ£¬Èܽâ¶È²ÅÓÐÒâÒ壬¹«Ê½
S |
100+S |
a |
a+b |
½â´ð£º½â£º£¨1£©ÅäÖÆ200gÈÜÖÊÖÊÁ¿·ÖÊýΪ1.4%µÄKNO3ÈÜÒº£¬ÐèÒªÏõËá¼ØµÄÖÊÁ¿=200g¡Á1.4%=2.8g£»
ÐèÒªÈܼÁË®µÄÖÊÁ¿=200g-2.8g=197.2g£»ÔòË®µÄÌå»ýΪ£ºV=
=
=197.2mL£»
¹Ê´ð°¸Îª£º2.8£»197.2
£¨2£©¸ù¾Ý³ÆÈ¡¡¢Á¿È¡¡¢ÈܽâËùÐèÒÇÆ÷·ÖÎö£¬²»ÐèÒªÕô·¢Ã󣬵«ÈܽâʱÐèÒª²£Á§°ô½Á°è£¬ËùÒÔÐèÒªÌí¼ÓµÄÒÇÆ÷Ϊ²£Á§°ô£¬Æä×÷ÓÃΪ¼ÓËÙÈܽ⣮
¹Ê´ð°¸Îª£ºÕô·¢Ã󣬲£Á§°ô£¬¼ÓËÙÈܽ⣮
£¨3£©ÏõËá¼ØµÄÈܽâ¶ÈËæζÈÉý¸ß¶øÔö´ó£¬Òò´Ë£¬¿É²ÉÈ¡Ôö¼ÓÈÜÖÊ¡¢Õô·¢ÈܼÁ»ò½µµÍζȵķ½·¨°Ñ½Ó½ü±¥ºÍµÄÏõËá¼ØÈÜÒº±ä³É±¥ºÍÈÜÒº£®
¹Ê´ð°¸Îª£º¼ÓÈÜÖÊ£»Õô·¢ÈܼÁ£»½µµÍζȣ®
£¨4£©¼ÓË®ÈÜÖÊÖÊÁ¿²»±ä£¬ÈܼÁÖÊÁ¿Ôö¼Ó£¬µ¼ÖÂÈÜÖÊÖÊÁ¿·ÖÊý¼õÉÙ£»
¹ÊÑ¡C£®
£¨5£©¢ÙÓÉÓÚ¹«Ê½ÖгöÏÖÁËÈܽâ¶È£¬ËùÒÔÖ»Óдﵽ±¥ºÍʽ×Ó²ÅÓÐÒâÒ壬¼´a£ºb¡ÝS£º100ʱÈÜÒº´ï±¥ºÍ״̬£¬½âµÃS¡Ü
ʱ£¬
ÈÜÖʵÄÖÊÁ¿·ÖÊýΪ
¡Á100%£»
¢Úµ±¼´a£ºb£¼S£º100ʱÈÜҺδ´ï±¥ºÍ״̬£»½âµÃS£¾
ʱ£¬ÈÜÖʵÄÖÊÁ¿·ÖÊýΪ
¡Á100%£®
Éè¼ÓÈëË®µÄÖÊÁ¿Îªx£®¸ù¾ÝÌâÒâ¿ÉµÃ£º
¡Á100%=
¡Á100%£¬½âµÃx=£¨a+b£©g£®
¹Ê´ð°¸Îª£ºS¡Ü
£¬S£¾
£¬a+b£®
ÐèÒªÈܼÁË®µÄÖÊÁ¿=200g-2.8g=197.2g£»ÔòË®µÄÌå»ýΪ£ºV=
m |
¦Ñ |
|
¹Ê´ð°¸Îª£º2.8£»197.2
£¨2£©¸ù¾Ý³ÆÈ¡¡¢Á¿È¡¡¢ÈܽâËùÐèÒÇÆ÷·ÖÎö£¬²»ÐèÒªÕô·¢Ã󣬵«ÈܽâʱÐèÒª²£Á§°ô½Á°è£¬ËùÒÔÐèÒªÌí¼ÓµÄÒÇÆ÷Ϊ²£Á§°ô£¬Æä×÷ÓÃΪ¼ÓËÙÈܽ⣮
¹Ê´ð°¸Îª£ºÕô·¢Ã󣬲£Á§°ô£¬¼ÓËÙÈܽ⣮
£¨3£©ÏõËá¼ØµÄÈܽâ¶ÈËæζÈÉý¸ß¶øÔö´ó£¬Òò´Ë£¬¿É²ÉÈ¡Ôö¼ÓÈÜÖÊ¡¢Õô·¢ÈܼÁ»ò½µµÍζȵķ½·¨°Ñ½Ó½ü±¥ºÍµÄÏõËá¼ØÈÜÒº±ä³É±¥ºÍÈÜÒº£®
¹Ê´ð°¸Îª£º¼ÓÈÜÖÊ£»Õô·¢ÈܼÁ£»½µµÍζȣ®
£¨4£©¼ÓË®ÈÜÖÊÖÊÁ¿²»±ä£¬ÈܼÁÖÊÁ¿Ôö¼Ó£¬µ¼ÖÂÈÜÖÊÖÊÁ¿·ÖÊý¼õÉÙ£»
¹ÊÑ¡C£®
£¨5£©¢ÙÓÉÓÚ¹«Ê½ÖгöÏÖÁËÈܽâ¶È£¬ËùÒÔÖ»Óдﵽ±¥ºÍʽ×Ó²ÅÓÐÒâÒ壬¼´a£ºb¡ÝS£º100ʱÈÜÒº´ï±¥ºÍ״̬£¬½âµÃS¡Ü
100a |
b |
ÈÜÖʵÄÖÊÁ¿·ÖÊýΪ
S |
100+S |
¢Úµ±¼´a£ºb£¼S£º100ʱÈÜҺδ´ï±¥ºÍ״̬£»½âµÃS£¾
100a |
b |
a |
a+b |
Éè¼ÓÈëË®µÄÖÊÁ¿Îªx£®¸ù¾ÝÌâÒâ¿ÉµÃ£º
a |
a+b+x |
a |
2(a+b) |
¹Ê´ð°¸Îª£ºS¡Ü
100a |
b |
100a |
b |
µãÆÀ£ºÅäÖÆÈÜÒºÁ½ÖÖ³£¼û²Ù×÷£º¹ÌÌåÈÜÖʼÓË®Èܽ⣬ÅäÖƲ½Öè¼ÆËã-³ÆÁ¿-Èܽ⣻ҺÌå¼ÓˮϡÊÍ£¬ÅäÖƲ½Öè¼ÆËã-Á¿È¡-Èܽ⣬ÆäÖмÓˮϡÊÍʱ£¬ÈÜÖÊÖÊÁ¿²»±ä£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿