(D) The quantity of gas remains constant in both situations. Using the ideal gas law,$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given:$P_1 = 4 \ atm$

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(D) The quantity of gas remains constant in both situations. Using the ideal gas law,$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given:$P_1 = 4 \ atm$,$V_1 = 1500 \ m^3$,$T_1 = 27 + 273 = 300 \ K$.$P_2 = 2 \ atm$,$T_2 = -3 + 273 = 270 \ K$.Substituting the values into the equation:$\frac{4 \times 1500}{300} = \frac{2 \times V_2}{270}$.$20 = \frac{V_2}{135}$.$V_2 = 20 \times 135 = 2700 \ m^3$.

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

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$A$ balloon contains $1500 \ m^3$ of $He$ at $27^{\circ} C$ and $4 \ atm$ pressure. The volume of $He$ at $-3^{\circ} C$ temperature and $2 \ atm$ pressure will be: (in $m^3$)

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A
$1500$
B
$1700$
C
$1900$
D
$2700$

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Class 11

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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

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AP EAMCET 2021 Paper All AP EAMCET years →

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Column-$I$ represents gas laws and Column-$II$ represents the physical quantity which is constant for the given law. Match them correctly:

Column-$I$ Column-$II$

$(a)$ Boyle's law $(i)$ Pressure

$(b)$ Charles's law $(ii)$ Volume

$(iii)$ Temperature

Column-$I$	Column-$II$
$(a)$ Boyle's law	$(i)$ Pressure
$(b)$ Charles's law	$(ii)$ Volume
	$(iii)$ Temperature

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$A$ balloon contains $1500 \ m^3$ of $He$ at $27^{\circ} C$ and $4 \ atm$ pressure. The volume of $He$ at $-3^{\circ} C$ temperature and $2 \ atm$ pressure will be: (in $m^3$)

Similar Questions

The $SI$ unit of universal gas constant is

$A$ graph between volume $V$ and absolute temperature $T$ is obtained when a given mass of a gas is heated. During the heating process from state-$1$ to state-$2$,the pressure

The expansion of unit mass of a perfect gas at constant pressure is shown in the diagram. Here

What is an ideal gas? Write the state equation for an ideal gas. Write and explain the different laws relating to gases.

Column-$I$ represents gas laws and Column-$II$ represents the physical quantity which is constant for the given law. Match them correctly: Column-$I$ Column-$II$ $(a)$ Boyle's law $(i)$ Pressure $(b)$ Charles's law $(ii)$ Volume $(iii)$ Temperature

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Column-$I$ represents gas laws and Column-$II$ represents the physical quantity which is constant for the given law. Match them correctly:

Column-$I$ Column-$II$

$(a)$ Boyle's law $(i)$ Pressure

$(b)$ Charles's law $(ii)$ Volume

$(iii)$ Temperature