A certain amount of heat energy is supplied to a monoatomic ideal gas which expands at constant pressure. What fraction of the heat energy is converted into work ?

Question

A certain amount of heat energy is supplied to a monoatomic ideal gas which expands at constant pressure. What fraction of the heat energy is converted into work ? (A) 1 (B)  (2/3) (C)  (2/5) (D)  (5/7)

Tardigrade Admin · Accepted Answer

The heat Q is converted into the internal energy and work. According to the first law of thermodynamics, Q = U + W ⇒ nC p Δ t = n C v Δ t + W (W/Q)=(n Cp Δ t-n Cv Δ t/n Cp Δ t) (cp-cv/cp)=1-(1/&gamma;) =1-(1/(5)3)=(2/5)

Q. A certain amount of heat energy is supplied to a monoatomic ideal gas which expands at constant pressure. What fraction of the heat energy is converted into work ?

1

$\frac{2}{3}$

$\frac{2}{5}$

$\frac{5}{7}$

Q. A certain amount of heat energy is supplied to a monoatomic ideal gas which expands at constant pressure. What fraction of the heat energy is converted into work ?

1

32​

52​

75​

The heat Q is converted into the internal energy and work. According to the first law of thermodynamics, Q=U+W ⇒nCp​Δt=nCv​Δt+W QW​=nCp​ΔtnCp​Δt−nCv​Δt​ cp​cp​−cv​​=1−γ1​ =1−35​1​=52​

$\frac{2}{3}$

$\frac{2}{5}$

$\frac{5}{7}$