Emmanuel Pace

2022-07-22

So I was doing problem and used formula Eq.1 to find Energy in isochoric process.

$\mathrm{\Delta}E=\frac{3}{2}pV$

and get a bad result so now i saw the correct formula:

$\mathrm{\Delta}E=n{c}_{v}\mathrm{\Delta}T$

What is doing on? can somebody link consistent source of that formulas etc.?

$\mathrm{\Delta}E=\frac{3}{2}pV$

and get a bad result so now i saw the correct formula:

$\mathrm{\Delta}E=n{c}_{v}\mathrm{\Delta}T$

What is doing on? can somebody link consistent source of that formulas etc.?

repotasonwf

Beginner2022-07-23Added 12 answers

The problem is the two equations for an ideal (perfect) gas should be

$E=\frac{3}{2}pV$

and

$E=n{C}_{v}T$

Where the first equation can be derived from the second.

For an ideal gas, any process, internal energy is a function of temperature only according to the following where ${C}_{v}$ is condidered independent of temperature

$E=n{C}_{v}T$

Although we normally deal with changes in internal energy and changes in temperature, this equation is based on assigning a value of zero to internal energy at absolute zero temperature.

Next, for an ideal gas we have

${C}_{v}=\frac{3}{2}R$

Next, for an ideal gas we have

${C}_{v}=\frac{3}{2}R$

Substituting into the equation for internal energy, we get

$E=\frac{3}{2}nRT$

From the ideal gas equation we have

$pV=nRT$

Finally, substituting this into the previous equation we get

$E=\frac{3}{2}pV$

$E=\frac{3}{2}pV$

and

$E=n{C}_{v}T$

Where the first equation can be derived from the second.

For an ideal gas, any process, internal energy is a function of temperature only according to the following where ${C}_{v}$ is condidered independent of temperature

$E=n{C}_{v}T$

Although we normally deal with changes in internal energy and changes in temperature, this equation is based on assigning a value of zero to internal energy at absolute zero temperature.

Next, for an ideal gas we have

${C}_{v}=\frac{3}{2}R$

Next, for an ideal gas we have

${C}_{v}=\frac{3}{2}R$

Substituting into the equation for internal energy, we get

$E=\frac{3}{2}nRT$

From the ideal gas equation we have

$pV=nRT$

Finally, substituting this into the previous equation we get

$E=\frac{3}{2}pV$

What is the work for the free expansion of a gas into vacuum?

How to convert ${45}^{\circ}\text{}C$ to Fahrenheit?

The temperature of melting ice is______________$\xb0C$=________________$\xb0F$. A$0$ B$32$

What is the effect of an increase in pressure on the boiling point of a liquid?

Warm Water freezes faster than cold water. Why?

What is the SI unit of specific heat capacity?

16 degrees celsius is what in fahrenheit?

If the boiling point of water in Kelvin scale is 373 K. What is the boiling point of water on degree celcilus scale(oC)?

Which of the following is/are an example of the convection of heat?

A rod is being heated from one side

Boiling water

Sunlight reaching earth

Ladle is getting hot in soupWhat is the freezing point of water?

How to solve $|3x+6|>15$?

How does heat travel through empty space?

What is the equivalent temperature of 0 degree Celsius in Fahrenheit scale? A)-32 degree Celsius;B)64 degree Celsius; C)32 degree Celsius; D)16 degree Celsius

$1c{m}^{3}$ of water at its boiling point absorbs 540 calories of heat to become steam with a volume of $1671c{m}^{3}$. If the atmospheric pressure is $1.013\times {10}^{5}N/{m}^{2}$ and the mechanical equivalent of heat = 4.19 J/calorie, the energy spent in this process in overcoming intermolecular forces is

A) 540 calorie

B) 40 calorie

C) 500 calorie

D) ZeroHow to convert 53 celsius to fahrenheit?