3) The figure at the right shows your experimental setup for estimating the trip

Question

3) The figure at the right shows your experimental setup for estimating the triple point of CO2. Carefully mark off your capillary tube in ten 1 cm segments and note the position of the drop of dye solution when the capillary is inserted in the open plastic tube. When the top of the plastic tube is sealed, the pressure inside will increase as the CO2 sublimes, and the drop of dye will be forced up the capillary, compressing the air inside it. Note the position of the drop of dye when liquid CO2 starts to form. The pressure inside the capillary should then correspond to the h (cm) pressure at the triple point of CO You can calculate the pressure from a modification of Boyle's law, PiVi P2 r. The volume of the capillary hA, where h is the height and A is the cross-sectional area, which is constant. Boyle's law therefore reduces to Pih P2h2, where Pl is the pressure in the open tube, hi is the distance of the drop from the top of the capillary in the open tube, h2 is the distance of the drop from the top of the capillary in the closed tube, and P2 is the pressure in the closed tube, the pressure at the triple d point What are the heights of the air columns in the two capillaries to the right? (Measure from the top of the dye droplet.) Height of column in the open tube (hi): Open Tube Height of column in the closed tube (h2): closed Tu Calculate the pressure in the closed tube, assuming the pressure in the open tube is 1.0 atm. Pressure in the closed tube:

Explanation / Answer

height of column in the open tube ( h1 ) = 10 cm

height of column in the closed tube ( h2 ) = 2.2 cm

and we know that,

P1 h1 = P2 h2

P1 = 1.0 atm

P2 = ?

=> P2 = P1 h1 / h2

=> P2 = 1.0 x 10 / 2.2

=> P2 = 4.54 atm

Pressue in the closed tube = 4.54 atm

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