(B) For an isothermal expansion of an ideal gas in a vacuum (free expansion),the external pressure $P_{ext} = 0$.Since work done $W = -P_{ext} \Delta

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(B) For an isothermal expansion of an ideal gas in a vacuum (free expansion),the external pressure $P_{ext} = 0$.Since work done $W = -P_{ext} \Delta V$,the work done is $0$.According to the first law of thermodynamics,$\Delta U = q + W$.For an isothermal process of an ideal gas,the internal energy $\Delta U$ depends only on temperature.Since the temperature is constant $(\Delta T = 0)$,the change in internal energy $\Delta U = 0$.

Class 11 Chemistry Thermodynamics First law of thermodynamics

Medium

For $1 \, \text{mol}$ of an ideal gas,isothermal expansion occurs from $1 \, \text{L}$ to $10 \, \text{L}$ in a vacuum at $300 \, \text{K}$. What is the value of $\Delta U$ for this process? $(R = 2 \, \text{cal} \, \text{K}^{-1} \, \text{mol}^{-1})$

A
$163.7 \, \text{cal}$
B
$0$
C
$1381.1 \, \text{cal}$
D
$9 \, \text{L} \cdot \text{atm}$

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Class 11

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Thermodynamics

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First law of thermodynamics

An ideal gas expands adiabatically against vacuum. Which of the following is correct for the given process?

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$A$ mixture of $2 \ mol$ of carbon monoxide and $1 \ mol$ of oxygen is ignited in a closed vessel to form carbon dioxide. If $\Delta H$ is the enthalpy change and $\Delta U$ is the change in internal energy,then:

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When $1 \, \text{mol}$ of a gas is heated at constant volume,the temperature increases from $298 \, K$ to $308 \, K$. If the heat supplied to the gas is $500 \, J$,which of the following statements is correct?

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$\Delta U$ is equal to

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At $1 \ bar$ pressure,a gas has a volume of $0.6 \ L$. If this gas gains $122 \ J$ of heat at $1 \ bar$ pressure,its volume becomes $2 \ L$. Calculate its internal energy change. [Given: $1 \ L \cdot bar = 101.32 \ J$]

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For $1 \, \text{mol}$ of an ideal gas,isothermal expansion occurs from $1 \, \text{L}$ to $10 \, \text{L}$ in a vacuum at $300 \, \text{K}$. What is the value of $\Delta U$ for this process? $(R = 2 \, \text{cal} \, \text{K}^{-1} \, \text{mol}^{-1})$

Similar Questions

An ideal gas expands adiabatically against vacuum. Which of the following is correct for the given process?

$A$ mixture of $2 \ mol$ of carbon monoxide and $1 \ mol$ of oxygen is ignited in a closed vessel to form carbon dioxide. If $\Delta H$ is the enthalpy change and $\Delta U$ is the change in internal energy,then:

When $1 \, \text{mol}$ of a gas is heated at constant volume,the temperature increases from $298 \, K$ to $308 \, K$. If the heat supplied to the gas is $500 \, J$,which of the following statements is correct?

$\Delta U$ is equal to

At $1 \ bar$ pressure,a gas has a volume of $0.6 \ L$. If this gas gains $122 \ J$ of heat at $1 \ bar$ pressure,its volume becomes $2 \ L$. Calculate its internal energy change. [Given: $1 \ L \cdot bar = 101.32 \ J$]

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