The figure shows two flasks connected to each | vedclass

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

Question

(C) For an ideal gas,the ideal gas equation is given by $PV = \frac{m}{M}RT$,where $P$ is pressure,$V$ is volume,$m$ is mass,$M$ is molar mass,$R$ is

Vedclass · Accepted Answer

$\frac{m}{4}$

Vedclass · Answer

(C) For an ideal gas,the ideal gas equation is given by $PV = \frac{m}{M}RT$,where $P$ is pressure,$V$ is volume,$m$ is mass,$M$ is molar mass,$R$ is the universal gas constant,and $T$ is temperature.Since the flasks are connected,the pressure $P$ is the same in both flasks. Also,the gas is the same,so $M$ is constant.Thus,$V \propto \frac{mT}{P} \Rightarrow V \propto mT$.We can write the ratio as: $\frac{V_1}{V_2} = \frac{m_1 T_1}{m_2 T_2}$.Given $V_1 = 2V_2$,$T_1 = 100\, K$,$T_2 = 200\, K$,and $m_1 = m$.Substituting these values: $\frac{2V_2}{V_2} = \frac{m 	imes 100}{m_2 	imes 200}$.$2 = \frac{m}{2m_2}$.$4m_2 = m \Rightarrow m_2 = \frac{m}{4}$.

The figure shows two flasks connected to each other. The volume of flask $1$ is twice that of flask $2$. The system is filled with an ideal gas at temperatures $100\, K$ and $200\, K$ respectively. If the mass of the gas in flask $1$ is $m$,what is the mass of the gas in flask $2$?

Similar Questions

Which one of the following graphs represents the behavior of an ideal gas at a constant temperature?

Equal molar amounts of $H_2$ and $He$ are placed in two separate containers of equal volume at the same temperature. Their molar masses are $2$ and $4$ respectively. If the pressure of $H_2$ gas is $4 \ atm$,what will be the pressure of $He$ gas in atmospheres?

An ideal gas at temperature $T$, pressure $p$ occupies a volume $V$. If its temperature is halved and pressure doubled, what is its new volume?

When a gas filled in a closed vessel is heated by raising the temperature by $1^{\circ} C$,its pressure increases by $0.4 \%$. The initial temperature of the gas is ..........$K$.

In the given $(V - T)$ diagram,what is the relation between pressures $P_1$ and $P_2 \,?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module