An ideal gas is taken from state 1 ( ) to state 2 ( ) using two different…

PHYSICS · Single correct · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

An ideal gas is taken from state 1 (

T_1,V_1

) to state 2 (

T_2,V_2

) using two different hypothetical reversible paths. • Path X: First heat the gas at constant volume from

T_1

T_2

, then expand it isothermally from

V_1

V_2

. • Path Y: First expand the gas isothermally from

V_1

V_2

, then heat it at constant pressure until the temperature reaches

T_2

. Which statement about the entropy change of the gas,

\Delta S_{\text{sys}}

, is correct? (a)

\Delta S_{\text{sys}}

is larger for Path X than for Path Y. (b)

\Delta S_{\text{sys}} = 0

for both paths because each path is reversible. (c)

\Delta S_{\text{sys}}

is identical for Path X and Path Y. (d)

\Delta S_{\text{sys}}

cannot be determined without numerical values for

T_1,\,T_2,\,V_1,

and

V_2