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
anor277
Aug 8, 2018

Well one atmosphere will support a column of mercury that is 760*mm760⋅mm high...

Explanation:

...i.e. 1*atm-=760*mm*Hg1⋅atm≡760⋅mm⋅Hg. I strongly disapprove of a problem that quotes a pressure GREATER than 760*mm*Hg760⋅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*Hgmm⋅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_2P1V1T1=P2V2T2...we use "absolute temperature"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)V2=P1V1T1×T2P2=765.8⋅mm⋅Hg×25.4⋅cm3×336.15⋅K760⋅mm⋅Hg⋅atm−1309.55⋅K×9.01⋅atm

=1.05*cm^3=1.05⋅cm3

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