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Two samples $A$ and $B$ of a gas initially at the same pressure and temperature are compressed from volume $ V$ to $ V/2$ ($A$ isothermally and adiabatically). The final pressure of $ A$ is
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 with its cold body at $17\,^oC$ has $50\%$ effficiency. If the temperature of its hot body is now increased by $145\,^oC$, the efficiency becomes...... $\%$
$Assertion :$ The isothermal curves intersect each other at a certain point.
$Reason :$ The isothermal change takes place slowly, so, the isothermal curves have very little slope.
Water falls from a height of $60\,m$ at the rate of $15\,kg/s$ to operate a turbine. The losses due to frictional forces are $10\%$ of energy. How much power is generated by the turbine ....... $kW$ $(g = 10\,m/s^2)$
$540$ calories of heat converts $1$ cubic centimeter of water at $100\,^oC$ into $1671$ cubic centimeter of steam at $100\,^oC$ at a pressure of one atmosphere. Then the work done against the atmospheric pressure is nearly .......... $cal$
The specific heat of hydrogen gas at constant pressure is ${C_P} = 3.4 \times {10^3}cal/kg{\,^o}C$ and at constant volume is ${C_V} = 2.4 \times {10^3}cal/kg{\,^o}C.$If one kilogram hydrogen gas is heated from ${10^o}C$ to ${20^o}C$ at constant pressure, the external work done on the gas to maintain it at constant pressure is