A manometer consists of a U-shaped tube containing a liquid. One side is connected to the apparatus and the other is open to the atmosphere. e pressure p inside the apparatus is given p = pex + ρgh, where pex is the external pressure, ρ is the mass density of the liquid in the tube, g = 9.806 m s−2 is the acceleration of free fall, and h is the difference in heights of the liquid in the two sides of the tube. ( the quantity ρgh is the hydrostatic pressure exerted by a column of liquid.) (i) Suppose the liquid in a manometer is mercury, the external pressure is 760 Torr, and the open side is 10.0 cm higher than the side connected to the apparatus. What is the pressure in the apparatus? the mass density of mercury at 25 °C is 13.55 g cm−3. (ii) In an attempt to determine an accurate value of the gas constant, R, a student heated a container of volume 20.000 dm3 filled with 0.251 32 g of helium gas to 500 °C and measured the pressure as 206.402 cm in a manometer filled with water at 25 °C. Calculate the value of R from these data.
A manometer consists of a U-shaped tube containing a liquid. One side is connected to the apparatus and the other is open to the atmosphere. e pressure p inside the apparatus is given p = pex + ρgh, where pex is the external pressure, ρ is the mass density of the liquid in the tube, g = 9.806 m s−2 is the acceleration of free fall, and h is the difference in heights of the liquid in the two sides of the tube. ( the quantity ρgh is the hydrostatic pressure exerted by a column of liquid.) (i) Suppose the liquid in a manometer is mercury, the external pressure is 760 Torr, and the open side is 10.0 cm higher than the side connected to the apparatus. What is the pressure in the apparatus? the mass density of mercury at 25 °C is 13.55 g cm−3. (ii) In an attempt to determine an accurate value of the gas constant, R, a student heated a container of volume 20.000 dm3 filled with 0.251 32 g of helium gas to 500 °C and measured the pressure as 206.402 cm in a manometer filled with water at 25 °C. Calculate the value of R from these data. the mass density of water at 25 °C is 0.997 07 g cm−3.
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