Answer to Question #294438 in Physics for percy

Question #294438

A gas occupies a volume of 50 mL at a temperature of 0°C and a pressure of 2,000 N / m3. What volume will be occupied by the same amount of gas also at 0°C if the pressure is increased to 10,000 N / m3.


1
Expert's answer
2022-02-06T14:32:41-0500

Given:

V1=50mLV_1=\rm 50\: mL

p1=2000N/m2p_1=\rm 2000\: N/m^2

p2=10000N/m2p_2=\rm 10000\: N/m^2

V2?V_2-?


The Boyle–Mariotte law says

p1V1=p2V2p_1V_1=p_2V_2

Hence

V2=V2p1p2V_2=V_2\frac{p_1}{p_2}

V2=50mL2000N/m210000N/m2=10mLV_2=50\:\rm mL*\frac{2000\: N/m^2}{10000\: N/m^2}=10\: mL


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