The problem involves an ideal monatomic gas with a specific initial temperature and the addition of heat and work. Participants are discussing how these factors influence the final temperature of the gas.
The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the specific heat of the gas and its implications for the relationship between heat, work, and temperature change.
Participants are considering the assumptions of ideal gas behavior and the specific heat capacity relevant to the problem. There is an acknowledgment of the need for clarity on how these concepts apply to the given scenario.
How is U related to temperature? Hint: what is the specific heat of a monatomic gas at constant volume (where W = 0 so Q = U)?keemosabi said:[
The Attempt at a Solution
I have a feeling I'm missing an equation. I thought the equation was U = Q - W but that won't help me here.
Not if it is an ideal gas, which this is. The specific heat is Cv = 3R/2 where R is the universal gas constant (units are J/mole K). Since, by definition, \Delta Q = nC_v\Delta T and \Delta U = \Delta Q for a constant volume process and since U is a function only of T, it follows thatkeemosabi said:Doesn't it depend upon the gas?