Room for Leaky Nun and Abcd

The molar heat capacity of a process varies as $C= C_v + \alpha V$, where $\alpha$ is constant. Find the equation of the process in $V-T$ variable. @LeakyNun

The Great Duck

@LeakyNun remember that paper I was writing?

the one I started 3 weeks ago.

Abcd

@LeakyNun $C= \dfrac{dQ}{dT}$

The Great Duck

7:46 AM

it is now 51 pages long

Abcd

$C_v= \dfrac{dU}{dT}$

8 mins ago, by Abcd

in Mathematics, 11 mins ago, by Abcd

Is it okay to write $\dfrac{dQ}{dT}= \dfrac{dU}{dT}+\dfrac{dW}{dT}$ in physics?

Leaky Nun

Isochoric process

An isochoric process, also called a constant-volume process, an isovolumetric process, or an isometric process, is a thermodynamic process during which the volume of the closed system undergoing such a process remains constant. An isochoric process is exemplified by the heating or the cooling of the contents of a sealed, inelastic container: The thermodynamic process is the addition or removal of heat; the isolation of the contents of the container establishes the closed system; and the inability of the container to deform imposes the constant-volume condition. The isochoric process here should...

Abcd

@LeakyNun The process isn't isochoric.

Leaky Nun

why don't you ask in the physics room

Abcd

No one (= very few people are) is online.

Leaky Nun

7:51 AM

5 mins ago, by Abcd

The molar heat capacity of a process varies as $C= C_v + \alpha V$, where $\alpha$ is constant. Find the equation of the process in $V-T$ variable. @LeakyNun

what is C? what is Cv?

Abcd

@LeakyNun C is molar heat capacity. C_v is molar heat capacity at constant volume.

@LeakyNun Leave it if its physics...I'll ask John Rennie at night.

it's*

Leaky Nun

so Cv is a constant?

Abcd

yes

and it's equal to $\dfrac{dU}{dT}$

U is internal energy.

Leaky Nun