(D) Given: Initial pressure $P_1 = 1 \ atm$,Initial volume $V_1 = 100 \ ml$,Initial temperature $T_1 = 27 + 273 = 300 \ K$.Final pressure $P_2 = 2 \ a

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(D) Given: Initial pressure $P_1 = 1 \ atm$,Initial volume $V_1 = 100 \ ml$,Initial temperature $T_1 = 27 + 273 = 300 \ K$.Final pressure $P_2 = 2 \ atm$,Final volume $V_2 = 100 \ ml$.Since the volume remains constant $(V_1 = V_2)$,we use Gay-Lussac's Law: $\frac{P_1}{T_1} = \frac{P_2}{T_2}$.Substituting the values: $\frac{1}{300} = \frac{2}{T_2}$.Solving for $T_2$: $T_2 = 300 \times 2 = 600 \ K$.Converting to Celsius: $T_2(^{\circ}C) = 600 - 273 = 327^{\circ}C$.

Class 11 Physics Kinetic Theory of Gases Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

Medium

$A$ sample of $O_2$ gas has a volume of $100 \ ml$ at a pressure of $1 \ atm$ and a temperature of $27^{\circ}C$. If the pressure is increased to $2 \ atm$ while the volume remains $100 \ ml$,the new temperature will be .... $^{\circ}C$.

A
$250$
B
$380$
C
$410$
D
$327$

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Class 11

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Chapter

Kinetic Theory of Gases

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Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

For an ideal gas undergoing a constant temperature process (isothermal process),what is the nature of the graph between pressure $(P)$ and $\frac{1}{V}$ (where $V$ is volume)?

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What is the ratio of the universal gas constant $(R)$ to the Avogadro number $(N_A)$?

Easy

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The $PV$ versus $T$ graph for equal masses of $H_2$,$He$,and $O_2$ is shown in the figure. Choose the correct alternative.

Medium

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$A$ vessel containing $5 \, L$ of a gas at $0.8 \, Pa$ pressure is connected to an evacuated vessel of volume $3 \, L$. The resultant pressure inside will be ...... $Pa$ (assuming the whole system to be isolated).

Medium

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When the temperature of a gas in a closed vessel is increased by $2.4^{\circ} C$, its pressure increases by $0.5 \%$. The initial temperature of the gas is (in $^{\circ} C$)

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$A$ sample of $O_2$ gas has a volume of $100 \ ml$ at a pressure of $1 \ atm$ and a temperature of $27^{\circ}C$. If the pressure is increased to $2 \ atm$ while the volume remains $100 \ ml$,the new temperature will be .... $^{\circ}C$.

Similar Questions

For an ideal gas undergoing a constant temperature process (isothermal process),what is the nature of the graph between pressure $(P)$ and $\frac{1}{V}$ (where $V$ is volume)?

What is the ratio of the universal gas constant $(R)$ to the Avogadro number $(N_A)$?

The $PV$ versus $T$ graph for equal masses of $H_2$,$He$,and $O_2$ is shown in the figure. Choose the correct alternative.

$A$ vessel containing $5 \, L$ of a gas at $0.8 \, Pa$ pressure is connected to an evacuated vessel of volume $3 \, L$. The resultant pressure inside will be ...... $Pa$ (assuming the whole system to be isolated).

When the temperature of a gas in a closed vessel is increased by $2.4^{\circ} C$, its pressure increases by $0.5 \%$. The initial temperature of the gas is (in $^{\circ} C$)

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