Following is the (P V/T)v/sP graph for 1g of oxygen gas at two different temperatures T1 and T2 . Find the value of (P V/T) at the point A and also the relation between T1 and T2 if it is given the density of oxygen is 1.427kgm- 3 .

Question

Following is the (P V/T)v/sP graph for 1g of oxygen gas at two different temperatures T1 and T2 . Question

Find the value of (P V/T) at the point A and also the relation between T1 and T2 if it is given the density of oxygen is 1.427kgm- 3 . (A) 0.259 JK- 1 and T1 < T2 (B) 8.314 g Jmol- 1 K- 1 and T1>T2 (C) 0.259 JK- 1 and T1>T2 (D) 4.28 g JK- 1 and T1 < T2

Tardigrade Admin · Accepted Answer

PV=μ RT=(m/M)RT , where m = mass of the gas and (m/M)=μ = number of moles. (P V/T)=μ R=a constant for all values of P . That is why, ideally it is a straight line. ∴ (P V/T)=(1 g/32 g m o l- 1)× 8.31Jmol- 1K- 1=0.259JK- 1 Also, T1>T2

Q. Following is the $\frac{P V}{T} v / s P$ graph for $1 g$ of oxygen gas at two different temperatures $T_{1}$ and $T_{2}$ .

Find the value of $\frac{P V}{T}$ at the point $A$ and also the relation between $T_{1}$ and $T_{2}$ if it is given the density of oxygen is $1.427 k g m^{- 3}$ .

$0.259 J K^{- 1}$ and $T_{1} < T_{2}$

$8.314 g J m o l^{- 1} K^{- 1}$ and $T_{1} > T_{2}$

$0.259 J K^{- 1}$ and $T_{1} > T_{2}$

$4.28 g J K^{- 1}$ and $T_{1} < T_{2}$

Q. Following is the TPV​v/sP graph for 1g of oxygen gas at two different temperatures T1​ and T2​ . Find the value of TPV​ at the point A and also the relation between T1​ and T2​ if it is given the density of oxygen is 1.427kgm−3 .

0.259JK−1 and T1​<T2​

8.314gJmol−1K−1 and T1​>T2​

0.259JK−1 and T1​>T2​

4.28gJK−1 and T1​<T2​

PV=μRT=Mm​RT , where m = mass of the gas and Mm​=μ= number of moles. TPV​=μR=a constant for all values of P . That is why, ideally it is a straight line. ∴TPV​=32gmol−11g​×8.31Jmol−1K−1=0.259JK−1 Also, T1​>T2​

Q. Following is the $\frac{P V}{T} v / s P$ graph for $1 g$ of oxygen gas at two different temperatures $T_{1}$ and $T_{2}$ .

Find the value of $\frac{P V}{T}$ at the point $A$ and also the relation between $T_{1}$ and $T_{2}$ if it is given the density of oxygen is $1.427 k g m^{- 3}$ .

$0.259 J K^{- 1}$ and $T_{1} < T_{2}$

$8.314 g J m o l^{- 1} K^{- 1}$ and $T_{1} > T_{2}$

$0.259 J K^{- 1}$ and $T_{1} > T_{2}$

$4.28 g J K^{- 1}$ and $T_{1} < T_{2}$