The Temperature of 5 moles of a gas constant volume is changed from
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your question is incomplete. A complete question is -----> The temperature of 5 moles of a gas at constant volume is changed from 100°C to 120°C. The change in internal energy is 80 J. The total heat capacity of the gas at constant volume will be in joule/Kelvin is.
solution :- number of mole of gas , n = 5
initial temperature, Ti = 100°C
final temperature , Tf = 120°C
the change in internal energy , ∆U= 80J
we know, change in internal energy = heat at constant volume.
= nCvdT
here, Cv is molar specific heat capacity , dT is Temperature change.
so, 80 = 5 × Cv × (120- 100)
Cv = 80/100 = 4/5 J/K/mol
so, total heat capacity = number of mole × molar heat capacity
= 5 × 4/5 = 4 J/k
solution :- number of mole of gas , n = 5
initial temperature, Ti = 100°C
final temperature , Tf = 120°C
the change in internal energy , ∆U= 80J
we know, change in internal energy = heat at constant volume.
= nCvdT
here, Cv is molar specific heat capacity , dT is Temperature change.
so, 80 = 5 × Cv × (120- 100)
Cv = 80/100 = 4/5 J/K/mol
so, total heat capacity = number of mole × molar heat capacity
= 5 × 4/5 = 4 J/k
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Answer:
above explanation is very exactly correct
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