The graph shows variation of internal energy U with density ρ of one mole of an ideal monatomic gas. The process A B is a part of rectangular hyperbola. Find the work done (in J) in the process.

Question

The graph shows variation of internal energy U with density ρ of one mole of an ideal monatomic gas. The process A B is a part of rectangular hyperbola. Find the work done (in J) in the process. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

U ρ= Constant (T/V)= Constant P= Constant W=n R Δ T......(i) n(CV) Δ T=3 n((3 R/2)) Δ T=3 ⇒ W=2 J

Q. The graph shows variation of internal energy $U$ with density $ρ$ of one mole of an ideal monatomic gas. The process $A B$ is a part of rectangular hyperbola. Find the work done (in $J$ ) in the process.

$U ρ =$ Constant
$\frac{T}{V} =$ Constant
$P =$ Constant
$W = n R Δ T$ ......(i)
$n (C_{V}) Δ T = 3$
$n (\frac{3 R}{2}) Δ T = 3$
$\Rightarrow W = 2 J$

Q. The graph shows variation of internal energy U with density ρ of one mole of an ideal monatomic gas. The process AB is a part of rectangular hyperbola. Find the work done (in J) in the process.

Uρ= Constant VT​= Constant P= Constant W=nRΔT......(i) n(CV​)ΔT=3 n(23R​)ΔT=3 ⇒W=2J

Q. The graph shows variation of internal energy $U$ with density $ρ$ of one mole of an ideal monatomic gas. The process $A B$ is a part of rectangular hyperbola. Find the work done (in $J$ ) in the process.

$U ρ =$ Constant
$\frac{T}{V} =$ Constant
$P =$ Constant
$W = n R Δ T$ ......(i)
$n (C_{V}) Δ T = 3$
$n (\frac{3 R}{2}) Δ T = 3$
$\Rightarrow W = 2 J$