{"id":1442,"date":"2018-03-07T18:27:58","date_gmt":"2018-03-07T10:27:58","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=1442"},"modified":"2018-03-07T18:27:58","modified_gmt":"2018-03-07T10:27:58","slug":"charless-law-constant-pressure-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/charless-law-constant-pressure-problems-and-solutions.htm","title":{"rendered":"Charles’s law (constant pressure) – problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1. <\/span><\/span>In a closed container, the gas expands so that the final volume becomes 3 times the initial volume (V = initial volume, T = initial temperature<\/a>). What is the final temperature?<\/span><\/span><\/span><\/p>\n

Known :<\/u><\/span><\/span><\/p>\n

Initial volume (V<\/span><\/span>1<\/span><\/sub>) = V<\/span><\/span><\/p>\n

Final volume (V<\/span><\/span>2<\/span><\/sub>) = 3V<\/span><\/span><\/p>\n

Initial temperature (T<\/span><\/span>1<\/span><\/sub>) = T<\/span><\/span><\/p>\n

Wanted: Final temperature (T<\/span><\/span>2<\/span><\/sub>)<\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

The formula of Charles’s law<\/a> :<\/u><\/span><\/span><\/p>\n

\"Charles's<\/p>\n

The final temperature of gases becomes 3 times the initial temperature.<\/span><\/span><\/p>\n\n

2. I<\/span><\/span>deal gases initially have volume V and temperature T. If the gas undergoes the isobaric process<\/a> so that the temperature becomes 2 times the initial temperature then the final volume of gases is\u2026<\/span><\/span><\/span><\/p>\n

Known :<\/u><\/span><\/span><\/p>\n

Initial volume (V<\/span><\/span>1<\/span><\/sub>) = V<\/span><\/span><\/p>\n

Initial temperature (T<\/span><\/span>1<\/span><\/sub>) = T<\/span><\/span><\/p>\n

Final temperature (T<\/span><\/span>2<\/span><\/sub>) = 2T<\/span><\/span><\/p>\n

Wanted:<\/u><\/span><\/span> final volume (V<\/span><\/span>2<\/span><\/sub>)<\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

\"Charles's<\/p>\n

The final volume of gases becomes 2 times the initial volume. <\/span><\/span><\/p>\n\n

3. In a closed container, ideal gases initially have a volume of 2 liters and temperature of 27<\/span>o<\/span><\/sup>C. If the final volume of gases becomes 3 liters then the final temperature is… <\/span><\/span><\/span><\/span><\/p>\n

Known :<\/u><\/span><\/span><\/span><\/span><\/p>\n

Initial volume (V<\/span>1<\/span><\/sub>) = 2 liters = 2 dm<\/span>3<\/span><\/sup> = 2 x 10<\/span>-3<\/span><\/sup> m<\/span>3<\/span><\/sup><\/span><\/span><\/span><\/p>\n

Final volume (V<\/span>2<\/span><\/sub>) = 3 liters = 3 dm<\/span>3<\/span><\/sup> = 3 x 10<\/span>-3<\/span><\/sup> m<\/span>3<\/span><\/sup><\/span><\/span><\/span><\/p>\n

Initial temperature (T<\/span>1<\/span><\/sub>) = 27<\/span>o<\/span><\/sup>C + 273 = 300 K<\/span><\/span><\/span><\/span><\/p>\n

Wanted :<\/u><\/span> Final temperature (T<\/span>2<\/span><\/sub>)<\/span><\/span><\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/span><\/span><\/p>\n

\"Charles's<\/p>\n

The final temperature is 177<\/span><\/span>o<\/span><\/span><\/sup>C or 177 + 273 = 450 Kelvin. <\/span><\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

1. In a closed container, the gas expands so that the final volume becomes 3 times the initial volume (V = initial volume, T = initial temperature). What is the final temperature? Known : Initial volume (V1) = V Final volume (V2) = 3V Initial temperature (T1) = T Wanted: Final temperature (T2) Solution : … Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Charles's law (constant pressure) - problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1442","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1442","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=1442"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1442\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=1442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=1442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=1442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}