How Does Heat Affect the Internal Energy of an Ideal Gas at Constant Volume?

In summary, a student performed an experiment on an ideal gas by adding 5.000 J of heat to it. This caused the pressure of the gas to change from 101.3 kPa to 150.0 kPa while the volume remained constant at 50.00 cm3. The student has three questions: (i) By how much did the internal energy of the gas change? (ii) If the quantity of the gas present is 5 × 10–3 moles, what is the molar specific heat capacity of the gas at constant volume? (iii) What is the molar specific heat capacity of the gas at constant pressure? The homework equations being considered are Q = mc(change in)T and
  • #1
klilly
3
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Homework Statement



A student performs an experiment on an ideal gas by adding 5.000 J of heat to it. As a result the student finds that the pressure of the gas changes from 101.3 kPa to 150.0 kPa while the volume remains constant at 50.00 cm3

(i) By how much did the internal energy of the gas change?
(ii) If the quantity of the gas present is 5 × 10–3 moles, determine the molar specfic heat capacity of the gas that the student would find at constant volume.
(iii) What is the molar specific heat capacity of the gas at constant pressure?

Homework Equations



Q = mc(change in)T ? but we don't have mass
(change in)U = Cv (change in)T ? as the condition in constant volume



The Attempt at a Solution


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  • #2
klilly said:

Homework Statement



A student performs an experiment on an ideal gas by adding 5.000 J of heat to it. As a result the student finds that the pressure of the gas changes from 101.3 kPa to 150.0 kPa while the volume remains constant at 50.00 cm3

(i) By how much did the internal energy of the gas change?
(ii) If the quantity of the gas present is 5 × 10–3 moles, determine the molar specfic heat capacity of the gas that the student would find at constant volume.
(iii) What is the molar specific heat capacity of the gas at constant pressure?

Homework Equations



Q = mc(change in)T ? but we don't have mass
(change in)U = Cv (change in)T ? as the condition in constant volume
Can you tell me what the internal energy of an ideal gas is. And, more importantly, the two ways in which we can change the internal energy?
 

FAQ: How Does Heat Affect the Internal Energy of an Ideal Gas at Constant Volume?

What is an ideal gas?

An ideal gas is a theoretical gas composed of particles that have no volume and do not interact with each other. This means that the particles are assumed to have no attraction or repulsion between them, and they do not take up any space. This is an idealized model used to simplify calculations and understand the behavior of real gases.

What is constant volume?

Constant volume, also known as isochoric process, is a thermodynamic process in which the volume of a system remains constant while other properties such as temperature and pressure can change. This means that the energy added to the system is solely used to increase the temperature of the gas, resulting in a change in pressure.

What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between the pressure, volume, temperature, and number of moles of an ideal gas. It is expressed as PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

What is the difference between ideal gas and real gas?

Ideal gases are theoretical gases that follow the ideal gas law and have no volume or intermolecular forces. Real gases, on the other hand, deviate from the ideal gas law due to their volume and intermolecular forces. Real gases also experience phase changes and condensation, which ideal gases do not.

What is the significance of constant volume in ideal gas experiments?

In experiments involving ideal gases, constant volume is often used to determine the relationship between pressure and temperature. This allows for the direct measurement of the gas's temperature without any changes in volume, which can affect the results. Constant volume also allows for the calculation of other properties, such as the gas's molar mass and specific heat capacity.

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