{"id":5042,"date":"2022-06-30T02:47:33","date_gmt":"2022-06-30T02:47:33","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=5042"},"modified":"2022-06-30T02:47:33","modified_gmt":"2022-06-30T02:47:33","slug":"solved-exercises-on-boyles-law","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/30\/solved-exercises-on-boyles-law\/","title":{"rendered":"Solved Exercises on Boyle\u2019s Law"},"content":{"rendered":"\n

Exercise 1<\/h3>\n\n\n\n

A fixed amount of a gas occupies a volume of 1L and exerts a pressure of 400 kPa on the walls of its container. What would be the pressure exerted by the gas if it is completely transferred into a new container having a volume of 3 liters (assuming the temperature and quantity of gas remains constant)?<\/strong><\/p>\n\n\n\n

Given,<\/p>\n\n\n\n

Initial volume (V1<\/sub>) = 1L<\/p>\n\n\n\n

Initial pressure (P1<\/sub>) = 400 kPa<\/p>\n\n\n\n

Final volume (V2<\/sub>) = 3L<\/p>\n\n\n\n

As per Boyle\u2019s law, P1<\/sub>V1<\/sub> = P2<\/sub>V2<\/sub> \u21d2 P2<\/sub> = (P1<\/sub>V1<\/sub>)\/V2<\/sub><\/p>\n\n\n\n

P2<\/sub> = (1L * 400 kPa)\/3L = 133.33 kPa<\/p>\n\n\n\n

Therefore, the gas exerts a pressure of 133.33 kPa on the walls of the 3-liter container.<\/p>\n\n\n\n

Exercise 2<\/h3>\n\n\n\n

A gas exerts a pressure of 3 kPa on the walls of container 1. When container 1 is emptied into a 10-liter container, the pressure exerted by the gas increases to 6 kPa. Find the volume of container 1. Assume that the temperature and quantity of the gas remain constant.<\/strong><\/p>\n\n\n\n

Given,<\/p>\n\n\n\n

Initial pressure, P1<\/sub> = 3kPa<\/p>\n\n\n\n

Final pressure, P2<\/sub> = 6kPa<\/p>\n\n\n\n

Final volume, V2<\/sub> = 10L<\/p>\n\n\n\n

According to Boyle\u2019s law, V1<\/sub> = (P2<\/sub>V2<\/sub>)\/P1<\/sub><\/p>\n\n\n\n

V1<\/sub> = (6 kPa * 10 L)\/3 kPa = 20 L<\/p>\n\n\n\n

Therefore, the volume of container 1 is 20 L.<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 1 A fixed amount of a gas occupies a volume of 1L and exerts a pressure of 400 kPa on the walls of its container. What would be the pressure exerted by the gas if it is completely transferred into a new container having a volume of 3 liters (assuming the temperature and quantity […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[621],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/5042"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=5042"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/5042\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=5042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=5042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=5042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}