One mole of helium is adiabatically expanded from its initial state $({P_i},{V_i},{T_i})$ to its final state $({P_f},{V_f},{T_f})$. The decrease in the internal energy associated with this expansion is equal to
A${C_V}({T_i} - {T_f})$
B${C_P}({T_i} - {T_f})$
C$\frac{1}{2}({C_P} + {C_V})(Ti - {T_f})$
D$({C_P} - {C_V})({T_i} - {T_f})$
Easy
Download our app for free and get started
A${C_V}({T_i} - {T_f})$
a (a)$\Delta U = \mu {C_V}\Delta T = 1 \times {C_V}({T_f} - {T_i}) = - \,{C_V}({T_i} - {T_f})$
==> |$\Delta U$| $= C_V (T_i -T_f)$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
During an adiabatic compression, $830\, J$ of work is done on $2\, moles$ of a diatomic ideal gas to reduce its volume by $50\%$. The change in its temperahture is nearly..... $K$ $(R\, = 8.3\, J\,K^{-1}\, mol^{-1} )$
When a system is taken from state $i$ to state $f$ along the path $iaf$, it is found that $Q=50$ $cal$ and $W=20$ $cal$ Along the path $ibf\ Q = 36\ cal. \ W$ along the path $ibf$ is ....... $ cal$
A Carnot engine takes $6000 \,cal$ of heat from a reservoir at $627^{\circ} C$ and gives it to a sink at $27^{\circ} C$. The work done by the engine is ......... $kcal$
An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to $.......\%$
A gas can be taken from $A$ to $B$ via two different processes $ACB$ and $ADB$. When path $ACB$ is used $60\, J$ of heat flows into the system and $30\, J$ of work is done by the system. If path $ADB$ is used work down by the system is $10\, J$. the heat flow into the system in path $ADB$ is ..... $J$
An ideal gas heat engine operates in a Carnot cycle between $227^o C$ and $127^o C$. It absorbs $6\,kcal$ at the higher temperature. The amount of heat (in $kcal$) converted into work is equal to
An ideal gas undergoes a polytropic given by equation $P V^n=$ constant. If molar heat capacity of gas during this process is arithmetic mean of its molar heat capacity at constant pressure and constant volume then value of $n$ is ..............