The graph of four gases with the same number | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) From the ideal gas equation,$PV = \mu RT$,we can write:$P = \left( \frac{\mu R}{V} \right) T$Comparing this with the equation of a straight line $

Vedclass · Accepted Answer

$V_1 = V_2, V_3 = V_4$ and $V_2 > V_3$

Vedclass · Answer

(A) From the ideal gas equation,$PV = \mu RT$,we can write:$P = \left( \frac{\mu R}{V} ight) T$Comparing this with the equation of a straight line $y = mx$,where $y = P$ and $x = T$,the slope $m$ is given by:$m = 	an 	heta = \frac{\mu R}{V}$Since the number of moles $\mu$ and the gas constant $R$ are constant,we have:$V \propto \frac{1}{	an 	heta}$As the angle $	heta$ increases,$	an 	heta$ increases,and therefore the volume $V$ decreases.From the graph,the slope of line $1$ is equal to the slope of line $2$ (as they are parallel),so $V_1 = V_2$.Similarly,the slope of line $3$ is equal to the slope of line $4$,so $V_3 = V_4$.Since the slope of line $3$ (and $4$) is greater than the slope of line $1$ (and $2$),we have $	an 	heta_3 > 	an 	heta_1$.Therefore,$V_3  V_3$.Thus,the correct relation is $V_1 = V_2, V_3 = V_4$ and $V_2 > V_3$.

The graph of four gases with the same number of moles is given. Then:

Similar Questions

Write the standard temperature and pressure $(STP)$ values.

The $SI$ unit of universal gas constant is

The pressure versus temperature graph of an ideal gas with an equal number of moles at different volumes is plotted as shown in the figure. Choose the correct alternative.

When the pressure on $1200 \ ml$ of a gas is increased from $70 \ cm$ to $120 \ cm$ of mercury at constant temperature,the new volume of the gas will be ........ $ml$.

For container $A$,the pressure is $P$,volume is $V$,and temperature is $T$. For container $B$,the pressure is $2P$,volume is $V/4$,and temperature is $2T$. Find the ratio of the number of molecules in container $A$ to that in container $B$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module