(B) For an adiabatic process,the work done is given by the change in internal energy: $W = \Delta U = nC_v(T_2 - T_1)$.Given: $n = 1\, mol$,$C_v = 20\

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(B) For an adiabatic process,the work done is given by the change in internal energy: $W = \Delta U = nC_v(T_2 - T_1)$.Given: $n = 1\, mol$,$C_v = 20\, J/K$,$T_1 = 27 + 273 = 300\, K$,and $W = -3000\, J$ (work done by the system is negative).Substituting the values: $-3000 = 1 \times 20 \times (T_2 - 300)$.$-150 = T_2 - 300$.$T_2 = 300 - 150 = 150\, K$.

Class 11 Chemistry Thermodynamics First law of thermodynamics

Medium

One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27\,^{\circ}C$. If the work done during the process is $3\, kJ$,then the final temperature of the gas is $(C_v = 20\, J/K)$ .....$K$

A
$100$
B
$150$
C
$195$
D
$255$

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Thermodynamics

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First law of thermodynamics

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MediumAIIMS 1982

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One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27\,^{\circ}C$. If the work done during the process is $3\, kJ$,then the final temperature of the gas is $...\, K$.

DifficultAIIMS 2010

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Which of the following processes exhibits an increase in internal energy?

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One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27\,^{\circ}C$. If the work done during the process is $3\, kJ$,then the final temperature of the gas is $(C_v = 20\, J/K)$ .....$K$

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If a gas expands adiabatically from $1 \, L$ to $12 \, L$ against a constant external pressure of $0.75 \, atm$,the $\Delta U$ of the gas is .... $J$. (in $.9$)

If $65 \ kJ$ of work is done on the system and it releases $25 \ kJ$ of heat,what is the change in internal energy of the system (in $kJ$)?

At constant $T$ and $P$,which one of the following statements is correct for the reaction,$CO_{(g)} + \frac{1}{2} O_{2(g)} \to CO_{2(g)}$?

One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27\,^{\circ}C$. If the work done during the process is $3\, kJ$,then the final temperature of the gas is $...\, K$.

Which of the following processes exhibits an increase in internal energy?

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