Figure shows graphs of pressure vs density for an ideal gas at two temperatures T1 and T2 . Which of the following is correct?

Question

Figure shows graphs of pressure vs density for an ideal gas at two temperatures T1 and T2 . Which of the following is correct? (A) T1 >T2 (B) T1 =T2 (C) T1 < T2 (D) any of the three is possible.

Tardigrade Admin · Accepted Answer

P=((ρ/M)) R T ⇒ P=((R T/M)) ρ Comparing with y=m x Slope =(R T/M) or slope propto T Since T1 has a greater slope than T2 ⇒ T1>T2

Q. Figure shows graphs of pressure vs density for an ideal gas at two temperatures $T_{1}$ and $T_{2} .$ Which of the following is correct?

$T_{1} > T_{2}$

$T_{1} = T_{2}$

$T_{1} < T_{2}$

any of the three is possible.

$P = (\frac{ρ}{M}) RT$
$\Rightarrow P = (\frac{RT}{M}) ρ$
Comparing with $y = m x$
Slope $= \frac{RT}{M}$ or slope $\propto T$
Since $T_{1}$ has a greater slope than
$T_{2} \Rightarrow T_{1} > T_{2}$

Q. Figure shows graphs of pressure vs density for an ideal gas at two temperatures T1​ and T2​. Which of the following is correct?

T1​>T2​

T1​=T2​

T1​<T2​