One mole of a real gas is subjected to a process from (2 bar, 30 lit, 300 K) to (2 bar, 50 lit, 400 K)Given : CV = 40 J/mol/K, Cp = 50 J/mol/KCalculate ΔU
Question
One mole of a real gas is subjected to a process from (2 bar, 30 lit, 300 K) to (2 bar, 50 lit, 400 K)
Given:
- CV = 40 J/mol/K
- Cp = 50 J/mol/K
Calculate ΔU
Solution
To calculate the change in internal energy (ΔU), we need to use the formula:
ΔU = nCvΔT
where: n = number of moles Cv = molar heat capacity at constant volume ΔT = change in temperature
Given: n = 1 mole Cv = 40 J/mol/K Initial temperature (T1) = 300 K Final temperature (T2) = 400 K
First, calculate the change in temperature:
ΔT = T2 - T1 ΔT = 400 K - 300 K ΔT = 100 K
Then, substitute the values into the formula for ΔU:
ΔU = nCvΔT ΔU = 1 mole * 40 J/mol/K * 100 K ΔU = 4000 J
So, the change in internal energy (ΔU) is 4000 J.
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