A quartz vessel contains dry air with pressure 750 mm of Hg at 251 K. The vessel can withstand up to a pressure of 1150 mm of Hg without breaking. To which temperature the air can be heated without breaking the vessel. (Pressure coefficient of air is 0.0036l^(0)C).

A quartz vessel contains dry air with pressure 750 mm of Hg at 251 K.

1.	A quartz vessel contains dry air with pressure 750 mm of Hg at 251 K. The vessel can withstand up to a pressure of 1150 mm of Hg without breaking. To which temperature the air can be heated without breaking the vessel. (Pressure coefficient of air is 0.0036l^(0)C).
Answer» <P> Solution :Initial TEMPERATURE `t_(1)=251-273=22^(0)C` , Initial PRESSURE `P_(1)=750` mm of Hg Final pressure, `P_(2)` =1150 mm of Hg ,Pressure coefficient, `beta=0.00366l^(@)C` Final temperature `t_(2)=?` `beta=(P_(2)-P_(1))0.00366=(1150-750)/(750 times t_(2)-1150(-22))=400/(750t_(2)+25300)` `therefore t_(2)=(400-0.00366 times 25300)/(0.00366 times 750)=112^(0)C`