Calculate the difference between two specific heats of 1 g of nitrogen. Given molecular weight of nitrogen = 28 and J = 4.2 x 10⁷ erg cal-1.
Answers
Molecular weight of Helium = M = 4 Universal Gas Constant, R = 8.31J | mole | K
Cp - Cv = 7 Molecular mass, M = 4 R = 8.31 J mol-1 K-1 Cp - Cv = R/J = R/MJ = (8.31/4 x 4.186) = 0.496 cal g-1 K-1.
Answer:
The difference between two specific heats of 1g of nitrogen is 0.07066 calmol⁻¹K⁻¹.
Explanation:
Given,
wieght of nitrogen, w = 1g
Molar mass of nitrogen, M = 28
Specific heat at constant Pressure = Cp
Specific heat at constant Volume = Cv
Universal gas constant, R = 8.31 Jmol⁻¹K⁻¹
J = 4.2×10⁷ erg cal⁻¹ = 4.2 Jcal⁻¹
Now, for 1 mole of gas
Cv - Cp = mR/J = wR/MJ
where,
m = number of moles
R = universal gas constant
J = energy
So, Cp - Cv = 1×8.31 /28×4.2
Cp - Cv = 0.07066 calmol⁻¹K⁻¹
Hence, the difference between two specific heats of 1g of nitrogen is 0.07066 calmol⁻¹K⁻¹.
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