Symara Cyr said:Homework Statement
One litre cylinder contains 1 mole of the ideal gas molecules having the average kinetic energy of 0.1eV. What is the total energy of this gas?
Homework Equations
W = K + U
Mister T said:Is that supposed to be ##W=\Delta K +\Delta U##? In other words work equals change in energy?
Regardless, your reasoning is correct in that there is no work done and no change in energy, temperature, volume or pressure. But the question is not asking about how much the energy changes. It's asking what the energy is.
The energy of an ideal gas is the sum of the kinetic energies of the gas molecules.
Symara Cyr said:So, U = -1.6x10-20 J is for a single molecule. I adjust for the rest of the molecules by multiplying my number by Avogadro's number?
and yes, that's the equation I actually meant. My apologies!
The internal energy of 1 mole of ideal gas is a measure of the total energy of the gas, including both its kinetic and potential energies. It is expressed in joules (J) and is dependent on the temperature and pressure of the gas.
The internal energy of 1 mole of ideal gas can be calculated using the equation U = (3/2)RT, where U is the internal energy, R is the gas constant, and T is the temperature in Kelvin. This equation assumes that the gas behaves ideally, meaning that it follows the ideal gas law.
The internal energy of 1 mole of ideal gas is affected by temperature, pressure, and the number of moles of gas. As temperature increases, the internal energy also increases, while a decrease in temperature leads to a decrease in internal energy. Similarly, an increase in pressure results in an increase in internal energy, while a decrease in pressure decreases internal energy.
The internal energy of 1 mole of ideal gas is a crucial concept in thermodynamics and is used to understand and predict the behavior of gases. It helps scientists to understand the relationship between temperature, pressure, and energy in gases and is essential in various industrial and scientific applications.
The internal energy of 1 mole of ideal gas differs from other types of energy, such as potential energy and kinetic energy, as it is a measure of the total energy of the gas, including both kinetic and potential energies. Other types of energy only measure one aspect of the gas's energy. Additionally, the internal energy of a gas cannot be directly measured, but rather can only be calculated based on other factors such as temperature and pressure.