# Problem: A sample of gas occupies a volume of 51.1 mL. As it expands, it does 137.7 J of work on its surroundings at a constant pressure of 783 torr.What is the final volume of the gas?

###### FREE Expert Solution

We’re being asked to calculate the final volume for a system if it expands from a volume of 51.1 mL against a constant pressure of 783 torr, doing 137.7 J of work in the process.

Recall that work (w) is given by:

$\overline{){\mathbf{w}}{\mathbf{=}}{\mathbf{-}}{\mathbf{P\Delta V}}}$

where:

P = pressure (in atm)

ΔV = Vfinal – Vinitial = change in volume (in L)

Also note that if work is:

• (+): work is done by the surroundings to the system (compression)

• (–): work is done by the system to the surroundings (expansion) ###### Problem Details

A sample of gas occupies a volume of 51.1 mL. As it expands, it does 137.7 J of work on its surroundings at a constant pressure of 783 torr.

What is the final volume of the gas?
{"ft_lang_label":"__label__en","ft_lang_prob":0.94631046,"math_prob":0.9759628,"size":1339,"snap":"2020-45-2020-50","text_gpt3_token_len":314,"char_repetition_ratio":0.11460674,"word_repetition_ratio":0.07438017,"special_character_ratio":0.24271844,"punctuation_ratio":0.115523465,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9968289,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-26T16:03:09Z\",\"WARC-Record-ID\":\"<urn:uuid:0a6874f7-20fd-4934-9a55-ba199e62138e>\",\"Content-Length\":\"164718\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:aa8f3ec5-c027-465f-aff6-59a43336d96f>\",\"WARC-Concurrent-To\":\"<urn:uuid:b67d0fff-9773-4d64-8ea8-7b130201444a>\",\"WARC-IP-Address\":\"54.84.169.173\",\"WARC-Target-URI\":\"https://www.clutchprep.com/chemistry/practice-problems/68136/a-sample-of-gas-occupies-a-volume-of-51-1-ml-as-it-expands-it-does-137-7-j-of-wo\",\"WARC-Payload-Digest\":\"sha1:KRFYY53BDP7LNMVAXU2TYFPSYUN57TR3\",\"WARC-Block-Digest\":\"sha1:MVLB53FDD2UBCR6ZVYOBOFKMSWMIOQ6L\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107891428.74_warc_CC-MAIN-20201026145305-20201026175305-00079.warc.gz\"}"}