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 200#cm^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^oC##color(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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