Physics Asked by ToughCookie on December 20, 2020
The main goal of this experiment is to find a gas constant R and compare it
with its theoretical counterpart.
but I get stuck in calculating a Cv so I tried to find out what’s wrong with my calculations by trying to calculate a Cv from the given data in the documentation.
$$C_{V}=frac{p_{0} V_{0}}{T_{0}} cdotleft(frac{U cdot I Delta t}{(a p+V) cdot Delta p}-frac{a p}{a p+V}right)$$
where
p0 = 1013 hPa
T0=273.2 K
V0 = 22414 ml/mol
U = 4.75 V I = 0.25 A
a = 0.855 cm^3/hPa
p = 0.147 hPa
V = 1.14 L = 1140 mL
delta(p)/delta(t) = 1.67 hPa/s or delta(t)/delta(p) = 0.5988 s/hPa
If everything goes right , I’ll obtain $$C_{V}=26 mathrm{J} cdot mathrm{K}^{-1} cdot mathrm{mol}^{-1}$$ as a final result.
My attempt:
$$C_{V}=frac{p_{0} V_{0}}{T_{0}} cdotleft(frac{1}{a p+V}right)left(frac{U cdot I Delta t}{Delta p}-mathrm{ap}right)$$
What is wrong with my calculation? , could someone please shed some light on this?
Plugged all the needed values in the equation and I got Cv=42.67 instead of 26.
Here this is the documentation (page 4 and 5)
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