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A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit ?

Q 10.9 A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit?

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S Sayak

Since the mercury columns in the two arms are equal the pressure exerted by the water and the spirit column must be the same.

\\h_{w}\rho _{w}g=h_{s}\rho _{s}g\\ \frac{\rho _{s}}{\rho _{w}}=\frac{h_{w}}{h_{s}}\\ \frac{\rho _{s}}{\rho _{w}}=\frac{10}{12.5}\\ \frac{\rho _{s}}{\rho _{w}}=0.8

Therefore the specific gravity of spirit is 0.8.

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