Question #118603

Dry hydrogen by pellet of mercury in a uniform capillary tube closed at one end. If the length of the column of hydrogen at 27 is 1.0 m, at what temperature will the length be 1.20 m?

Expert's answer

Assuming the pressure is constant, write the equality for the two stater of the gas:

V1T1=V2T2, T2=T1V2V1=T1Ah2Ah1=T1h2h1= =(273+27)1.2A1A=360 K,\frac{V_1}{T_1}=\frac{V_2}{T_2},\\\space\\ T_2=T_1\frac{V_2}{V_1}=T_1\frac{Ah_2}{Ah_1}=T_1\frac{h_2}{h_1}=\\\space\\=(273+27)\frac{1.2A}{1A}=360\text{ K},

or 87°C


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