# The pressure exerted on 800mL of a gas is decreased from 300 kPa to 198 kPa. What is the new volume of the gas if the temp remains constant?

${V}_{2} = 1200 \cdot m L \ldots \ldots . .$
At constant temperature, $P V = k$, for a fixed amount (mass) of gas. This is old Boyle's Law:
Since $P V = k$, ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$
V_2=(P_1V_1)/P_2=(300*kPaxx800*mL)/(198*kPa)=??*mL. A good question in that you don't have to use a calculator.........
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://socratic.org/questions/the-pressure-exerted-on-800ml-of-a-gas-is-decreased-from-300-kpa-to-198-kpa-what", "fetch_time": 1723261346000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2024-33/segments/1722640789586.56/warc/CC-MAIN-20240810030800-20240810060800-00311.warc.gz", "warc_record_offset": 406535241, "warc_record_length": 6055, "token_count": 166, "char_count": 456, "score": 3.625, "int_score": 4, "crawl": "CC-MAIN-2024-33", "snapshot_type": "latest", "language": "en", "language_score": 0.8243862986564636, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00057-of-00064.parquet"}