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, [itex]\Delta Q = nC_v\Delta T[/itex] and [itex]\Delta U = \Delta Q[/itex] 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?
The 1st Law of Thermodynamics is also known as the Law of Conservation of Energy. It states that energy cannot be created or destroyed, but can only be transferred or converted from one form to another.
The 1st Law of Thermodynamics applies to everyday life in many ways. For example, when we eat food, our body converts the stored energy into different forms to carry out various functions. Similarly, the energy from the sun is converted into electricity for our daily use.
An example of the 1st Law of Thermodynamics in action is a car engine. The chemical energy from the fuel is converted into heat energy, which is then used to power the engine and move the car.
No, the 1st Law of Thermodynamics applies to all systems, whether open, closed, or isolated. In open systems, energy and matter can be exchanged with the surroundings, while in closed systems, only energy can be exchanged, and in isolated systems, neither energy nor matter can be exchanged.
The 1st Law of Thermodynamics and the concept of entropy are closely related. Entropy is a measure of the disorder or randomness in a system. The 1st Law states that the total energy of a system remains constant, but it can be converted into forms with higher entropy, resulting in a decrease in the overall energy quality.