(a) Calculate the energy of 1 mole of nitrogen gas at 27oc. Compare the energy of 1 mole of hydrogen gas at this temperature with the corresponding value of nitrogen gas (Given-: Boltzmann Constant (k=1.38 x 10-23 jk-1)
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The ideal gas equation relating pressure (P), volume (V), and absolute temperature (T) is given as: PV = nRT
Where, R is the universal gas constant = 8.314 J mol–1 K–1
n = Number of moles = 1
T = Standard temperature = 273 K
P = Standard pressure = 1 atm = 1.013 × 105 Nm–2
= 0.0224 m3
= 22.4 litres
Hence, the molar volume of a gas at STP is 22.4 litres
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Answer:
◆ KE of ideal gas=3/2nRT
◆ n=1 mole
◆ R=8.314 jk^-1mol^-1
◆ T=300k
◆hence KE=3/2*1*8.314*300=3741.3 J
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