Initial data for determining the specific gravity of a soil sample is given below:Calibration of Pycnometer(1) Mass of dry clean pycnometer, Mp= 317.11 g(2) Mass of pycnometer + water at calibration temperature, Mpw,c = 903.03 g(3) Observed temperature of water at calibration, T = 26.4°CSecondary data for the determination of Specific Gravity is as follows:Determination No:Mass of pycnometer + soil + water at test temperature, Mpws,t (9)Test Temperature, T₁ (°C)Mass of pycnometer + water at T₁, Mpw,t (9)Evaporating dish no.Mass of evaporating dish, M. (g)Mass of evaporating dish + oven-dried soil, Mas (9)Mass of solids, M, (g)Conversion factor, KSpecific gravity of soil, Gs@20°CDetermine the conversion factor, K (5 decimal places)1966.1722.3115.52115.51

Answer We know that conversion factor K is given by K = relative density of water at temperaure…

Answered: Initial data for determining the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Initial data for determining the specific gravity of a soil sample is given below:
Calibration of Pycnometer
(1) Mass of dry clean pycnometer, Mp= 317.11 g
(2) Mass of pycnometer + water at calibration temperature, Mpw,c = 903.03 g
(3) Observed temperature of water at calibration, T = 26.4°C
Secondary data for the determination of Specific Gravity is as follows:
Determination No:
Mass of pycnometer + soil + water at test temperature, Mpws,t (9)
Test Temperature, T₁ (°C)
Mass of pycnometer + water at T₁, Mpw,t (9)
Evaporating dish no.
Mass of evaporating dish, M. (g)
Mass of evaporating dish + oven-dried soil, Mas (9)
Mass of solids, M, (g)
Conversion factor, K
Specific gravity of soil, Gs@20°C
Determine the conversion factor, K (5 decimal places)
1
966.17
22.3
1
15.52
115.51

Expert Solution

Step 1

Answer

We know that conversion factor K is given by $K = \frac{r e l a t i v e d e n s i t y o f w a t e r a t t e m p e r a u r e T_{x}}{r e l a t i v e d e n s i t y o f w a t e r a t t e m p e r a u r e 20^{o} C}$

Conversion factor K = 0.9996 at temperature = 22^oC

Conversion factor K = 0.9993 at temperature = 23^oC

Since the test temperature is 22.3 ^oC

we need to obtain the conversion factor using the interpolation

Calculations shown in steps below

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