The internal energy of an ideal gas increases during an isothermal process when the gas is

Question

The internal energy of an ideal gas increases during an isothermal process when the gas is (A) expanded by adding more molecules to it (B) expanded by adding more heat to it (C) expanded against zero pressure (D) compressed by doing work on it

Tardigrade Admin · Accepted Answer

Internal energy of an ideal gas is given by

U = \frac{f}{2} μ RT

= \frac{f}{2} (\frac{N}{N _{A}}) RT

\Rightarrow U \propto NT

In isothermal process,

T =

constant

\Rightarrow U \propto N

ie, internal energy increases by increasing number of molecules

(N)

.

Q. The internal energy of an ideal gas increases during an isothermal process when the gas is

expanded by adding more molecules to it

expanded by adding more heat to it

expanded against zero pressure

compressed by doing work on it

Internal energy of an ideal gas is given by U=2f​μRT =2f​(NA​N​)RT ⇒U∝NT In isothermal process, T= constant ⇒U∝N ie, internal energy increases by increasing number of molecules (N).

Internal energy of an ideal gas is given by
$U = \frac{f}{2} μ RT$
$= \frac{f}{2} (\frac{N}{N _{A}}) RT$
$\Rightarrow U \propto NT$
In isothermal process, $T =$ constant
$\Rightarrow U \propto N$
ie, internal energy increases by increasing number of molecules $(N)$ .