An electric heater supplies heat to a system at a rate of $100\;W.$ If system performs work at a rate of $75$ Joules per second. At what rate (in $J/s$) is the internal energy increasing?
Easy
Download our app for free and get started
Heat is supplied to the system at a rate of $100 W$
Heat supplied, $Q=100 J / s$
The system performs at a rate of $75 J / s$
Work done, $W=75 J / s$
From the first law of thermodynamics, we have
$Q=U+W$
Where, $U=$ Internal energy
$\therefore U= Q -W$
$=100-75$
$=25 J / s$
$=25 W$
Therefore, the internal energy of the given electric heater increases at a rate of $25\; W$
Download our appand 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.*
Similar Questions
- 1A Carnot's heat engine works between the temperatures $427^{\circ} C$ and $27^{\circ} C$. $...........\,kcal / s$ amount of heat should it consume per second to deliver mechanical work at the rate of $1.0\,kW$View Solution
- 2Two Carnot engines $A$ and $B$ are operated in succession. The first one, $A$ receives heat from a source at $T_1 = 800\, K$ and rejects to sink at $T_2K$. The second engine $B$ receives heat rejected by the first engine and rejects to another sink at $T_3 = 300\, K$. If the work outputs of two engines are equal, then the value of $T_2$ is ...... $K$View Solution
- 3A monatornic gas at a pressure $P,$ having a volume $V$ expands isothermally to a volume $2\, V$ and then adiabatically to a volume $16\, V.$ The final pressure of the gas is $(\,Take \,\gamma = 5/3)$View Solution
- 4The amount of work done in an adiabatic expansion from temperature $T$ to ${T_1}$ isView Solution
- 5View SolutionAn adiabatic process occurs at constant
- 6View SolutionIn an isothermal expansion
- 7View SolutionWhen heat in given to a gas in an isobaric process, then
- 8A monoatomic idea gas expands at constant pressure, with heat $Q$ supplied. The fraction of $Q$ which goes as work done by the gas isView Solution
- 9During an adiabatic expansion of $2\, moles$ of a gas, the change in internal energy was found $-50J.$ The work done during the process is ...... $J$View Solution
- 10The pressure and volume of an ideal gas are related as $\mathrm{PV}^{3 / 2}=\mathrm{K}$ (Constant). The work done when the gas is taken from state $A\left(P_1, V_1, T_1\right)$ to state $\mathrm{B}\left(\mathrm{P}_2, \mathrm{~V}_2, \mathrm{~T}_2\right)$ is :View Solution