The Student Room Group
Reply 1
Doubt it since C is the specific heat capacity of water.
Reply 2
Carlo08
Doubt it since C is the specific heat capacity of water.


no c just means specific heat capacity.
Reply 3
Well you wouldnt be expected to work out the specific heat capacity of the apparatus, thats if they actually have one :s
Reply 4
:confused:
Reply 5
Carlo08
Well you wouldnt be expected to work out the specific heat capacity of the apparatus, thats if they actually have one :s


The apparatus will of course have a specific heat capacity, all materials do. However I don't see why you would want to find it. If you were to need the specific heat capacity of the apparatus then the equation would be something more along the lines of:

c=mδTc=m\delta T

where m is the mass of the material in question, note that the apparatus would have to be all made of the same material, which makes me think that the question is a little spurious...
Isn't it Q=mcΔθQ = mc \Delta \theta where θ\theta is the change in temperature?
Reply 7
The equation I've used is E = mc(delta)t

Q = energy used/needed
m = mass of thing heated
C = specific heat capacity of thing heated
t = change in temp

So, if you are given the start temp, the final temp, the mass and the specific heat capacity, you can find the energy needed/used.

If you're given all but one of the others, you can work out the remaining one by rearranging the formula.
To find the heat capacity of a vessel, you carry out a known thermodynamics reaction, say the neutralisation of strong acid and base, for which you know the theoretical energy change.
When your measured energy change is lower for the solutions, you can factor the missing energy into the apparatus as a calibration.

example

For 50cm3 1M HCL + 50cm3 1M NaOH you would expect 57 x 0.05 = 2.85 kJ of energy released. This should cause the 100g of solution to increase in temperature by ( E = mcdeltaT)

delta T = 2.85 /(4.2 x 0.1) = 6.8 ºC

However, if your experiment only registers a increase in temperature then you can say that 1.8º (using E='worth' of energy has been lost). This corresponds to 1.8/6.8 x100 percent of the energy lost = 26.5% which is 26.5/100 x 2.85 = 0.75 kJ

So your apparatus itself 'lost' 0.75 kJ for an increase of 6.8ºC

That means that it willl lose approximately 0.75/6.8 = 0.11 kJ per ºC change.

This is the calibration heat capacity (c') of your apparatus which can now be used for other experiments.

Total energy = mcdeltaT (solutions) + c'deltaT (apparatus)
Reply 9
Q= m*c*delta theta.
where,
Q is the heat enery
m is the mass
c is the specific heat capacity
Delta theta or T is the change in temp

Now m*c=C which is the thermal capacity.


This is what I know.
theta = delta T

there is no 'delta theta'
charco
To find the heat capacity of a vessel, you carry out a known thermodynamics reaction, say the neutralisation of strong acid and base, for which you know the theoretical energy change.
When your measured energy change is lower for the solutions, you can factor the missing energy into the apparatus as a calibration.

example

For 50cm3 1M HCL + 50cm3 1M NaOH you would expect 57 x 0.05 = 2.85 kJ of energy released. This should cause the 100g of solution to increase in temperature by ( E = mcdeltaT)

delta T = 2.85 /(4.2 x 0.1) = 6.8 ºC

However, if your experiment only registers a increase in temperature then you can say that 1.8º (using E='worth' of energy has been lost). This corresponds to 1.8/6.8 x100 percent of the energy lost = 26.5% which is 26.5/100 x 2.85 = 0.75 kJ

So your apparatus itself 'lost' 0.75 kJ for an increase of 6.8ºC

That means that it willl lose approximately 0.75/6.8 = 0.11 kJ per ºC change.

This is the calibration heat capacity (c') of your apparatus which can now be used for other experiments.

Total energy = mcdeltaT (solutions) + c'deltaT (apparatus)



THANK YOU!

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