A gas is compressed at a constant pressure of $50N/{m^2}$ from a volume of $10{m^3}$ to a volume of $4{m^3}$. Energy of $100 J$ then added to the gas by heating. Its internal energy is
AIncreased by $400 J$
BIncreased by $200 J$
CIncreased by $100 J$
DDecreased by $200 J$
Easy
Download our app for free and get started
AIncreased by $400 J$
a (a) From FLOT
$\Delta Q = \Delta U + \Delta W$$ = \Delta U + P\Delta V$
$ \Rightarrow \;100 = \Delta U + 50 \times (4 - 10) \Rightarrow \Delta U = 400\;J$
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.*
A sample of an ideal gas is taken through a cycle a shown in figure. It absorbs $50J$ of energy during the process $AB$, no heat during $BC$, rejects $70J$ during $CA.$ $40J$ of work is done on the gas during $BC$. Internal energy of gas at $A$ is $1500J$, the internal energy at $C$ would be ........ $J$
In a thermodynamic process pressure of a fixed mass of a gas is changed in such a manner that the gas releases $20 \,J$ of heat when $8 \,J$ of work was done on the gas. If the initial internal energy of the gas was $30 \,J$, then the final internal energy will be ........ $J$
One mole of an ideal gas $(\gamma = 1.4)$ is adiabatically compressed so that its temperature rises from $27\,^oC$ to $35\,^oC$. The change in the internal energy of the gas is .... $J$ (given $R = 8.3 \,J/mole/K$)
Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K, T_2 = 800\, K, T_3 = 2400\,K$ and $T_4 = 1200\,K.$ The work done by the gas during the cycle is ........ $kJ$
A Carnot’s engine is made to work between $200°C$ and $0°C$ first and then between $0°C$ and $-200°C.$ The ratio of efficiencies of the engine in the two cases is
In the diagrams $(i)$ to $(iv)$ of variation of volume with changing pressure is shown. A gas is taken along the path $ABCD. $ The change in internal energy of the gas will be
One mole of an ideal gas expands at a constant temperature of $300 \,K$ from an initial volume of $10\, litres$ to a final volume of $20\, litres$. The work done in expanding the gas is ...... $J.$ $(R = 8.31 J/mole-K)$