Q.

The density of liquid gallium at 30oC is 6.095 g/ml. Because of its wide liquid range (30 to 2400oC), gallium could be used as a barometer fluid at high temperature. What height (in cm) of gallium will be supported on a day when the mercury barometer reads 740 torr?(The density of mercury is 13.6 g/ml.).

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a

322

b

285

c

165

d

210

answer is C.

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Detailed Solution

P=hdgP=740torr=740x133.32 pascals, g=9.8ms-2d=6.095gm/ml = 6095kg/m3,  h=?hGallium =740×133.326095×9.8=165cm
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The density of liquid gallium at 30oC is 6.095 g/ml. Because of its wide liquid range (30 to 2400oC), gallium could be used as a barometer fluid at high temperature. What height (in cm) of gallium will be supported on a day when the mercury barometer reads 740 torr?(The density of mercury is 13.6 g/ml.).