Question

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?

Answer 1

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`