A container of fixed volume contains a gas at | vedclass

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

Question

(B) For a gas in a container of fixed volume,the volume $V$ is constant. According to Gay-Lussac's Law,for a fixed amount of gas at constant volume,th

Vedclass · Accepted Answer

$327$

Vedclass · Answer

(B) For a gas in a container of fixed volume,the volume $V$ is constant. According to Gay-Lussac's Law,for a fixed amount of gas at constant volume,the pressure $P$ is directly proportional to the absolute temperature $T$ ($P \propto T$ or $\frac{P_1}{T_1} = \frac{P_2}{T_2}$).Given initial temperature $T_1 = 27^{\circ} C = 27 + 273 = 300 \ K$.Let the initial pressure be $P_1 = P$.We want the final pressure to be $P_2 = 2P$.Using the relation $\frac{P_1}{T_1} = \frac{P_2}{T_2}$:$\frac{P}{300} = \frac{2P}{T_2}$$T_2 = 2 	imes 300 = 600 \ K$.To convert the temperature back to Celsius: $T_2(^{\circ} C) = 600 - 273 = 327^{\circ} C$.

$A$ container of fixed volume contains a gas at $27^{\circ} C$. To double the pressure of the gas,the temperature of the gas should be raised to . . . . . . ${ }^{\circ} {C}$.

Similar Questions

The volume of a gas at $30^{\circ} C$ temperature and $760 \ mm$ of $Hg$ pressure is $100 \ cc$. Then its volume at the same temperature and $400 \ mm$ of $Hg$ is (in $cc$)

If a given mass of gas occupies a volume of $10\, cc$ at $1\, atm$ pressure and a temperature of $100^{\circ}C$ $(373.15\, K)$,what will be its volume at $4\, atm$ pressure,assuming the temperature remains constant?

$A$ vessel has $6 \text{ g}$ of hydrogen at pressure $P$ and temperature $500 \text{ K}$. $A$ small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is $\frac{P}{2}$ and the temperature falls to $300 \text{ K}$ (in $\text{ g}$)?

$A$ balloon contains $1500 \, m^3$ of helium at $27^\circ C$ and $4 \, atm$ pressure. The volume of helium at $-3^\circ C$ temperature and $2 \, atm$ pressure will be ...... $m^3$.

Pressure of a gas of constant volume at $20^{\circ} C$ is $90 \ cm$ of $Hg$. At what temperature the pressure would change to $75 \ cm$ of $Hg$ (in $^{\circ} C$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module