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A quantity of gas is collected in a grad...

A quantity of gas is collected in a graduated tube over the mercury. The volume of gas at `18^(@)C` is 50 mL and the level of mercuty in the tube is 100mm above the outside mercuty level. The barometer reads 750 torr. Hence, volume of gas 1 atm and `0^(@)C` is approximately:

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A barometer is an instrument that is used for the measurement of pressure The construction of the barometer is as follows: A thin narrow calibrated capillary tube is filled to the brim with a liquid such as mercury and is inverted into a through filled with the same fluid Now depending on the external atmospheric pressure the level of the inside capillary comes to rest, then the net forces on the column should be balanced Applying force balance we get P_(atm)xxA=mxxg (A is the cross-sectional area of the capillary tube) if rho is the density of the fluid, then m=rhoxxgxxh (h is the height to which mercury has risen in the capillary) Hence P_(atm)xxA=(rhoxxgxxh)xxA or P_(atm)=rhogh Faulty Barometer: An ideal barometer will show a correct reading only if the space above the mercury column is vacuum but in case if some gas column is trapped in the space above the mercury column then the barometer is classified as a faulty barometer. The reading of such a barometer will be less than the true pressure For such a faulty barometer P_(0)A=mg+P_(gas)A P_(0)=rhohg+P_(gas) or rhogh=P_(0)-P_(gas) A tube closed at one end is dipped in mercury as shown in figure such that the closed surface coincides with the mercury level in the container By how much length of the tube should be extended such that the level of Hg in the tube is 5 cm below the mercury level inside the container? (Assume temperature remains constant)