A gas occupies a volume of 250 centimetre Cube 745 torr and 25 degree Celsius what additional pressure is required to reduce the gas volume to 200 cm cube at same temperature?

1 Answer
Doc048
Jun 19, 2018

Need to add an additional 186 Torr to compress gas to 200cm^3 at a final pressure of 931 Torr.

Explanation:

Given:
V_1 = 250cm^3 color(white)(xxx)V_2= 200 cm^3
P_1 = 745 "Torr"color(white)(xxx)P_2= ?
T_1 = 25^oCcolor(white)(xxxxx)T_2= 25^oC

If Temp is constant => Boyles Law => P_1*V_1=P_2*V_2
=> P_2= (P_1*V_1)/(V_2)=(745 "Torr"*250cancel(cm^3))/(200cancel(cm^3)) = ~~931 "Torr"color(white)(x) ("final"color(white)(X) "pressure")

Additional Pressure required from 745 Torr to 931 Torr
=> (931 - 745) Torr = 186 Torr additional pressure applied to compress volume from 250cm^3 to 200cm^3

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