One mole of a perfect gas in a cylinder fitted with a piston has a pressure $P,$ volume $V$ and temperature $T.$ If the temperature is increased by $1 \,K$ keeping pressure constant, the increase in volume is
A$\frac{{2V}}{{273}}$
B$\frac{V}{{91}}$
C$\frac{V}{{273}}$
D$V$
Medium
Download our app for free and get started
C$\frac{V}{{273}}$
c (c) For isobaric process $\frac{{{V_2}}}{{{V_1}}} = \frac{{{T_2}}}{{{T_1}}} \Rightarrow {V_2} = V \times \frac{{274}}{{273}}$
Increase $ = \frac{{274\;V}}{{273}} - V = \frac{V}{{273}}$
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.*
When $1\, kg$ of ice at $0^o C$ melts to water at $0^o C,$ the resulting change in its entropy, taking latent heat of ice to be $80\, cal/gm,$ is ...... $cal/K$
When $1\, kg$ of ice at $0^o C$ melts to water at $0^o C,$ the resulting change in its entropy, taking latent heat of ice to be $80\, cal/gm,$ is ...... $cal/K$
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then
$Assertion :$ The Carnot cycle is useful in understanding the performance of heat engines.
$Reason :$ The Carnot cycle provides a way of determining the maximum possible efficiency achievable with reservoirs of given temperatures.
The efficiency of a thermodynamic cycle $1-2-3- 1 ($see picture$)$ is $20\%$ and for another thermodynamic cycle $1 - 3-4 - 1$ efficiency is equal to $10\%$. Determine the efficiency $\eta ($ in $\%)$ of the thermodynamic cycle $1-2-3-4- 1.$The gas is assumed to be ideal