Which amongst the given plots is the correct | vedclass

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

Question

(B) For an ideal gas,the ideal gas equation is $pV = nRT$. Since $n = \frac{m}{M}$,where $m$ is the mass and $M$ is the molar mass,we have $pV = \frac

Vedclass · Accepted Answer

Vedclass · Answer

(B) For an ideal gas,the ideal gas equation is $pV = nRT$. Since $n = \frac{m}{M}$,where $m$ is the mass and $M$ is the molar mass,we have $pV = \frac{m}{M} RT$. Rearranging this gives $p = \left( \frac{RT}{M} \right) \left( \frac{m}{V} \right)$. Since density $d = \frac{m}{V}$,the equation becomes $p = \left( \frac{RT}{M} \right) d$. This is in the form of a straight line $y = mx$,where the slope is $\frac{RT}{M}$. Since the slope is directly proportional to temperature $(T)$,a higher temperature will result in a steeper slope. Given $T_3 > T_2 > T_1$,the slope order will be $T_3 > T_2 > T_1$. Therefore,the plot with the steepest line for $T_3$ and the least steep for $T_1$ is correct.

Which amongst the given plots is the correct plot for pressure $(p)$ $vs$ density $(d)$ for an ideal gas?

Similar Questions

The density of air is higher at sea level. Which of the following laws explains this practical observation?

At $17\,^{\circ}C$ temperature,the volume of a gas is $400\, mL$. At what temperature will: $(i)$ the volume become double,and $(ii)$ the volume become half?

At $27\,^oC$ temperature in a $2\, L$ closed vessel,$10\, g$ of $H_2$ and $22\, g$ of $CO_2$ gases are filled. Find the partial pressure of each gas and the total pressure of the mixture. (Use $R = 0.08314\, L \cdot bar \cdot K^{-1} \cdot mol^{-1}$ and formula $pV = nRT$)

If a gas occupies a volume of $1.5 \, L$ at a pressure of $75 \, cm \, Hg$,then at the same temperature,the volume of the gas at a pressure of $50 \, cm \, Hg$ will be ........... $L$. (in $.25$)

$A$ gas at a pressure of $2 \ atm$ is heated from $25^{\circ} C$ to $323^{\circ} C$ and simultaneously compressed to $\frac{2}{3}$ of its original volume. What is the final pressure (in $atm$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module