(A) Using the ideal gas equation: $PV = nRT = \frac{w}{M_w} RT$Rearranging for volume: $V = \frac{wRT}{P M_w}$Given values: $w = 1 \ g$,$R = 0.0821 \

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(A) Using the ideal gas equation: $PV = nRT = \frac{w}{M_w} RT$Rearranging for volume: $V = \frac{wRT}{P M_w}$Given values: $w = 1 \ g$,$R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1}$,$T = 350 \ K$,$P = 1 \ atm$,and molar mass of butane $(C_4H_{10}) = 4 \times 12 + 10 \times 1 = 58 \ g/mol$.Substituting the values: $V = \frac{1 \times 0.0821 \times 350}{1 \times 58} \approx 0.495 \ L$Since $1 \ L = 1000 \ cm^3$,$V = 0.495 \times 1000 = 495 \ cm^3$.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

Medium

The volume of $1 \ g$ of methane $(CH_4)$,ethane $(C_2H_6)$,propane $(C_3H_8)$,and butane $(C_4H_{10})$ is measured at $350 \ K$ and $1 \ atm$ pressure. What will be the volume of butane in $cm^3$?

A
$495$
B
$600$
C
$900$
D
$1700$

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Class 11 Questions

Class 11

Chemistry Questions

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States of Matter

Subtopic

Ideal gas equation and Related gas laws

For an ideal gas,if $P$ is the pressure,$R$ is the gas constant,and $T$ is the temperature,which of the following represents the number of moles per liter?

Easy

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At $NTP$,$10 \ g$ of a gas occupies $5 \ L$ of volume. At what temperature will the volume become double for the same mass of gas at the same pressure?

Easy

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Vessels $A$ and $B$ contain the same gas. If the pressure,volume,and temperature of $A$ are all double those of $B$,then the ratio of the number of molecules in $A$ to $B$ is ..........

Medium

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$1 \ L$ closed flask contains a mixture of $4 \ g$ of methane and $4.4 \ g$ of carbon dioxide. The pressure inside the flask at $27^{\circ} C$ is [Assume ideal behaviour of gases] (in $atm$)

MediumTS EAMCET 2022

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$A$ $10.0 \, L$ flask contains $64 \, g$ of oxygen at $27^{\circ} C$. (Assume $O_2$ gas is behaving ideally). The pressure inside the flask in bar is $.....$
(Given $R = 0.0831 \, L \, bar \, K^{-1} \, mol^{-1}$)

EasyNEET 2022

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The volume of $1 \ g$ of methane $(CH_4)$,ethane $(C_2H_6)$,propane $(C_3H_8)$,and butane $(C_4H_{10})$ is measured at $350 \ K$ and $1 \ atm$ pressure. What will be the volume of butane in $cm^3$?

Similar Questions

For an ideal gas,if $P$ is the pressure,$R$ is the gas constant,and $T$ is the temperature,which of the following represents the number of moles per liter?

At $NTP$,$10 \ g$ of a gas occupies $5 \ L$ of volume. At what temperature will the volume become double for the same mass of gas at the same pressure?

Vessels $A$ and $B$ contain the same gas. If the pressure,volume,and temperature of $A$ are all double those of $B$,then the ratio of the number of molecules in $A$ to $B$ is ..........

$1 \ L$ closed flask contains a mixture of $4 \ g$ of methane and $4.4 \ g$ of carbon dioxide. The pressure inside the flask at $27^{\circ} C$ is [Assume ideal behaviour of gases] (in $atm$)

$A$ $10.0 \, L$ flask contains $64 \, g$ of oxygen at $27^{\circ} C$. (Assume $O_2$ gas is behaving ideally). The pressure inside the flask in bar is $.....$(Given $R = 0.0831 \, L \, bar \, K^{-1} \, mol^{-1}$)

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$A$ $10.0 \, L$ flask contains $64 \, g$ of oxygen at $27^{\circ} C$. (Assume $O_2$ gas is behaving ideally). The pressure inside the flask in bar is $.....$
(Given $R = 0.0831 \, L \, bar \, K^{-1} \, mol^{-1}$)