The pressure in a container is 765.8 mmHg and the temperature is 36.4 degrees C and the volume needs a total of 25.4 cc (cm^3). The temperature rises to 63.0 deg C and the pressure changes to 9.01 atm.Convert pressure to mmHg and determine the new volume?

1 Answer
Aug 8, 2018

Well one atmosphere will support a column of mercury that is #760*mm# high...

Explanation:

...i.e. #1*atm-=760*mm*Hg#. I strongly disapprove of a problem that quotes a pressure GREATER than #760*mm*Hg# but I will let this pass. I will quote the FINAL pressure in atmospheres. Should your teacher quote the FINAL pressure in #mm*Hg# then CLEARLY he or she has never used a mercury manometer...

We use the combined gas equation...

#(P_1V_1)/T_1=(P_2V_2)/T_2#...we use #"absolute temperature"#..

#V_2=(P_1V_1)/T_1xxT_2/P_2=((765.8*mm*Hgxx25.4*cm^3xx336.15*K)/(760*mm*Hg*atm^-1))/(309.55*Kxx9.01*atm)#

#=1.05*cm^3#