Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative.

Question

Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative. (A) V1 = V2 = V3 = V4 (B) V4 > V3 > V2 > V1 (C) V1 = V2; V3 = V4 and V2 > V3 (D) V1 = V2, V3 = V4 and V2 < V3

Tardigrade Admin · Accepted Answer

As P-T graphs are straight lines, passing through origin, therefore, P propto T. But as P = ((μ R/V))T, therefore, the slope of straight line propto (1/V) As (Slope)12 < (Slope)34 ∴ V2 > V3 As for a given slope, V is constant, therefore, V1 = V2 and V3 = V4.

Q. Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative.

$V_{1} = V_{2} = V_{3} = V_{4}$

$V_{4} > V_{3} > V_{2} > V_{1}$

$V_{1} = V_{2}$ ; $V_{3} = V_{4}$ and $V_{2} > V_{3}$

$V_{1} = V_{2}$ , $V_{3} = V_{4}$ and $V_{2} < V_{3}$

Q. Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative.

V1​=V2​=V3​=V4​

V4​>V3​>V2​>V1​

V1​=V2​; V3​=V4​ and V2​>V3​

V1​=V2​, V3​=V4​ and V2​<V3​

As P−T graphs are straight lines, passing through origin, therefore, P∝T. But as P=(VμR​)T, therefore, the slope of straight line ∝V1​ As (Slope)12​<(Slope)34​∴V2​>V3​ As for a given slope, V is constant, therefore, V1​=V2​ and V3​=V4​.

$V_{1} = V_{2} = V_{3} = V_{4}$

$V_{4} > V_{3} > V_{2} > V_{1}$

$V_{1} = V_{2}$ ; $V_{3} = V_{4}$ and $V_{2} > V_{3}$

$V_{1} = V_{2}$ , $V_{3} = V_{4}$ and $V_{2} < V_{3}$