At constant volume, 3 moles of an ideal gas when heated from 300k to 500k changes its internal energy by 5000 J. the molar heat capacity at constant volume is ………J/K/mole?
Question
At constant volume, 3 moles of an ideal gas when heated from 300k to 500k changes its internal energy by 5000 J. the molar heat capacity at constant volume is ………J/K/mole?
Solution
To find the molar heat capacity at constant volume, we can use the formula:
Cv = ΔU / (n * ΔT)
Where: Cv is the molar heat capacity at constant volume, ΔU is the change in internal energy, n is the number of moles of the gas, and ΔT is the change in temperature.
Given: ΔU = 5000 J n = 3 moles ΔT = 500 K - 300 K = 200 K
Substituting these values into the formula, we have:
Cv = 5000 J / (3 moles * 200 K)
Cv = 5000 J / 600 moles K
Cv = 8.33 J/K/mole
Therefore, the molar heat capacity at constant volume is 8.33 J/K/mole.
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