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Sample Answer for Measurement of the specific latent heat of vaporisation of water

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Measurement of the specific latent heat of vaporisation of water

Physics Experiments

Apparatus

Calorimeter, lagging, beaker, conical flask fitted with stopper and delivery tube or steam generator, steam trap, retort stand, heat source, thermometer accurate to 0.1° C and electronic balance.

Experimental Setup

Procedure

  • Half fill the conical flask or steam generator with water and fit with the delivery tube.

  • Heat until steam issues freely.

  • Find the mass of the calorimeter mcalm_{cal}.

  • Half fill the calorimeter with water cooled to approximately 10° C below room temperature.

  • Find the mass m1m_1 of the water plus calorimeter.

  • The mass of the cooled water mwm_w is m1mcalm_1 - m_{cal}.

  • Record the temperature of the calorimeter plus water θ1θ_1.

  • Allow dry steam to pass into the water in the calorimeter until the temperature has risen by about 20° C.

  • Remove the steam delivery tube from the water, taking care not to remove any water from the calorimeter in the process.

  • Record the final temperature θ2θ_2 of the calorimeter plus water plus condensed steam. The fall in temperature of the steam ΔθsΔθ_s is 100° C - θ2θ_2.

  • The rise in the temperature of the calorimeter plus water ΔθΔθ is θ2θ1θ_2 - θ_1.

  • Find the mass of the calorimeter plus water plus condensed steam m2. Hence the mass of the condensed steam msm_s is m2m1m_2 - m_1.


Measurement of the specific latent heat of vaporisation of water

Results

Mass of the calorimeter mcal=m_{cal} =

Mass of the calorimeter plus the water m1=m_1 =

Mass of the cooled water mw=m2mcal=m_w = m_2 - m_{cal} =

Temperature of the calorimeter plus water θ1=θ_1 =

Final temperature of the calorimeter plus water θ2=θ_2 = plus condensed steam

Fall in temperature of the steam Δθ1=100°Cθ2=Δθ_1 = 100°C - θ_2 =

Rise in the temperature of the calorimeter plus water Δθ2=θ2θ1=Δθ_2 = θ_2 - θ_1 =

Mass of the calorimeter plus water plus condensed m2=m_2 = steam Mass of the condensed steam ms=m2m1=m_s = m_2 - m_1 =

Calculations

Assume heat losses to the surroundings cancel heat gains from the surroundings. Given that the specific heat capacity of water cw and the specific heat capacity of copper cc are already known, the specific latent heat of vaporisation of water l may be calculated from the following equation:

Energy lost by steam = energy gained by calorimeter + energy gained by the water

msl+mscwΔθ1=mcalccΔθ2+mwcwΔθ2m_s l + m_s c_w Δθ_1 = m_{cal} c_c Δθ_2 + m_w c_w Δθ_2

infoNote

If a polystyrene container is used in place of the copper calorimeter, then the energy lost by the steam is equal to the energy gained by the water. The energy equation now reads:

msl+mscwΔθ1=mwcwΔθ2m_s l + m_s c_w Δθ_1 = m_w c_w Δθ_2

Use a tilted insulated tube as an alternative delivery pipe for dry steam. This does away with the need to use a steam trap.

If the water in the calorimeter is initially cooled to 10° C below room temperature and then heated to 10° C above room temperature the heat gains and heat losses approximately cancel each other out.

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