#29Q2) Heat

Determination of relative humidity of air using a polished calorimeter

DifficultyHard
Est. Time45 mins

Required Apparatus

Two calorimeters with polished outer surfaces, a suffi cient amount of ice chips, a stirrer, two (0 - 50), °C thermometers, a sheet of glass and two stands.

Scientific Theory

Image

Relative humidity=saturated vapour pressure of water at dew point (p0)saturated vapour pressure of water at room temperature (p)×100%\text{Relative humidity} = \frac{\text{saturated vapour pressure of water at dew point } (p_{0})}{\text{saturated vapour pressure of water at room temperature } (p)} \times 100\%

Experimental Method

  1. Wipe out well the outer surface of the calorimetres and fill about a half of one calorimeter with water.
  2. Fix the two thermometers T1T_{1} and T2T_{2} as shown in Figure 29.1. Also fix the sheet of glass in front of the calorimeters to prevent your exhaled air reaching the calorimeters.
  3. Insert ice chips into water in the calorimeter one after the other while stirring each one after the previous one has dissolved.
  4. Observe the beginning of the tarnishing of the calorimeter surface due to depositing of dew by comparing the surface with the outer surface of the other calorimeter.
  5. In the situation where dew begins to deposit, observe and note down the reading (θ1)(\theta_{1}) of the thermometer T1T_{1} inserted into the calorimeter containing water.
  6. Now stop adding ice and continue stirring to allow the temperature of the water to rise when the shine of the calorimeter begins to reappear indicating the vanishing of dew, observe the reading (θ2)(\theta_{2}) of the same thermometer T1T_{1} and note it down.
  7. Finally observe and record the room temperature θR\theta_{R} from the thermometer T2T_{2}.
  8. Calculate the mean (θ1+θ22)(\frac{\theta_{1}+\theta_{2}}{2}) of the two temperatures and consider it as the dew point.
  9. Using a table giving standard values of saturated vapour pressure, obtain its values at the dew point and at the room temperature (p0p_{0} and pp).
  10. Calculate the relative humidity using the expression given in the theory.

Important Points

1
  • Conclude the value obtained from the above calculation as the relative humidity.
2
  • Discuss the necessity to use small ice chips for the experiment. Discuss the difficulties you would face in measuring temperatures θ1\theta_{1} and θ2\theta_{2} if large pieces of ice are used.
3
  • In selecting the glass sheet to prevent exhale striking the calorimeter, take care to decide on its dimensions so that it would not obstruct stirring but would have the size sufficient for the purpose it is used for.

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