Gas Temp: Q & W Calculations

• fball558
In summary, the conversation is about a problem involving compressing a mole of nitrogen to a volume of 14 liters and then carrying out a quasistatic expansion at constant temperature. The question is asking for the amount of thermal energy transfer and work done on the piston by the gas. The solution involves using the formula: moles*avogadro's number*boltzmann's constant*Temp*Ln(V1/V2) to calculate the answers. The person is stuck on finding the formula and asks for help.

fball558

1. Homework Statement

was not sure if this was an introductory problem or a advanced problem. i will let you guys be the judge, but this is my first year of college physics.

One mole of nitrogen is compressed (by piling lots of sand on the piston) to a volume of 14 liters at room temperature (293 K). The cylinder is placed on an electric heating element whose temperature is maintained at 293.001 K. A quasistatic expansion is carried out at constant temperature by very slowly removing grains of sand from the top of the piston, with the temperature of the gas staying constant at 293 K. (You must assume that there is no energy transfer due to a temperature difference from the gas to the surrounding air, and no friction in the motion of the piston, all of which is pretty unrealistic in the real world! Nevertheless there are processes that can be approximated by a constant-temperature expansion. This problem is an idealization of a real process.) When the volume is 24 liters, how much thermal energy transfer Q has gone from the heating element into the gas?

1. When the volume is 24 liters, how much thermal energy transfer Q has gone from the heating element into the gas?

2. How much work W has been done on the piston by the gas?

3. How much has the energy of the gas changed?

i got number 3. and the answer is 0 J the other two i am completely stuck on.

3. The Attempt at a Solution

um... i have no idea where to even start. might just be a simple formula but have been looking in the textbook and can not find one. any help would be great!
thanks

How much work W has been done on the piston by the gas?

How much has the energy of the gas changed?

same thing as the one before

1. What is the difference between heat (Q) and work (W) in gas temperature calculations?

Heat (Q) is the transfer of thermal energy between a system and its surroundings, while work (W) is the transfer of energy due to a force acting over a distance. In gas temperature calculations, Q and W are often used interchangeably to represent the energy added or removed from a gas.

2. How is gas temperature related to the amount of energy (Q) added or removed from the system?

According to the first law of thermodynamics, the change in internal energy (ΔU) of a system is equal to the heat (Q) added to the system minus the work (W) done by the system. This means that the gas temperature will increase when more energy (Q) is added to the system and decrease when energy (Q) is removed.

3. Can gas temperature be calculated using only the amount of work (W) done on or by the gas?

No, gas temperature cannot be calculated using only the amount of work (W) done on or by the gas. The change in temperature of a gas is also influenced by other factors such as the initial temperature, pressure, and volume of the gas.

4. How is the gas temperature affected by a change in volume?

According to the ideal gas law, when the volume of a gas is decreased, the pressure of the gas will increase and the temperature will also increase. Similarly, when the volume is increased, the pressure and temperature of the gas will decrease. This is known as Boyle's law.

5. What is the significance of gas temperature in various industries and applications?

Gas temperature plays a crucial role in various industries and applications, such as in power plants, refrigeration systems, and chemical reactions. It is important to control and monitor gas temperature to ensure efficient operation and safety in these industries. Gas temperature is also used in weather forecasting and atmospheric studies.