A thermally insulated rigid container contains an ideal gas heated by a filament of resistance $100 \,\Omega$ through a current of $1\,A$ for $5$ min then change in internal energy is...... $kJ$
IIT 2005, Medium
Download our app for free and get started
(d) Volume of the ideal gas is constant so $W = P\Delta V = 0$
using FLOT $\Delta Q = \Delta U$==> $\Delta U = {I^2}Rt$$ = {1^2} \times 100 \times 5 \times 60$
$ = 30 \times {10^3} = 30KJ$
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
- 1In a cyclic process, a gas is taken from state $A$ to $B$ via path $-I$ as shown in the indicator diagram and taken back to state $A$ from state $B$ via path $-II$ . In the complete cycleView Solution
- 2Three different processes that can occur in an ideal monoatomic gas are shown in the $P$ vs $V$ diagram. The paths are labelled as $A \rightarrow B, A \rightarrow C$ and $A \rightarrow D .$ The change in internal energies during these process are taken as $E _{ AB }, E _{ AC }$ and $E _{ AD }$ and the work done as $W _{ AB }$ $W _{ AC }$ and $W _{ AD }$View Solution
The correct relation between these parameters are
- 3One gm mol of a diatomic gas $(\gamma = 1.4)$ is compressed adiabatically so that its temperature rises from ${27^o}C$ to ${127^o}C$. The work done will beView Solution
- 4An ideal gas is taken from point $A$ to point $C$ on $P-V$ diagram through two process $AOC$ and $ABC$ as shown in the figure. Process $AOC$ is isothermalView Solution
- 5In a given process for an ideal gas, $dW = 0$ and $dQ < 0.$ Then for the gasView Solution
- 6Figure below shows two paths that may be taken by a gas to go from a state $A$ to a state $C.$ In process $AB,$ $400 \,J$ of heat is added to the system and in process $BC,$ $100\, J$ of heat is added to the system. The heat absorbed by the system in the process $AC$ will be ...... $J$View Solution
- 7View SolutionThe rate of recombination or generation are governed by the law(s) of
- 8A thermodynamic system is taken from an original state $D$ to an intermediate state $E$ by the linear process shown in the figure. Its volume is then reduced to the original volume from $E$ to $F$ by an isobaric process. The total work done by the gas from $D$ to $E$ to $F$ will be $......J$View Solution
- 9An ideal gas is taken from state $1$ to state $2$ through optional path $A, B, C \& D$ as shown in $P-V$ diagram. Let $Q, W$ and $U$ represent the heat supplied, work done $\&$ internal energy of the gas respectively. ThenView Solution
- 10A Carnot engine absorbs an amount $Q$ of heat from a reservoir at an absolute temperature $T$ and rejects heat to a sink at a temperature of $T/3$ . The amount of heat rejected isView Solution