physics

[inzaghi]

Two glass bulbs of equal volume are joined by a narrow tube and are filled with a gas at S.T.P,when one bulb is kept in melting ice and the other is placed in a hot bath, the new measure is 87.76cmHg.
Calculate the temperature of the bath.

[gen2]

This is a straight forward application of Charles' law which states that for a fixed volume of gas, the pressure is proportional to the (absolute) temperature. i.e. P/T = constant.

You have a fixed volume of gas. You know the starting conditions. You know the final pressure. It only remains to work out the temperature using P1/T1 = P2/T2

That will give you the AVERAGE temperature of the system. Half of the system is at 0 deg C (273.15 K) so you can easily work out the temperature of the other half that will give you the calculated average.

(273.15 + unknownT)/2 = Average

rearranging gives

unknownT = (2 x Average)/273.15