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$200\,g$ water is heated from $40\,^oC$ to $60\,^oC.$ Ignoring the slight expansion of water, the change in its internal energy is close to ...... $kJ$ (Given specific heat of water $=4184\,J/kgK$ )
A cylindrical tube of uniform cross-sectional area $A$ is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is $P_0$ and temperature is $T_0$, atmospheric pressure is also $P_0$. Now the temperature of the gas is increased to $2T_0$, the tension in the wire will be
Avessel with open mouth contains air at $60^oC$. When the vessel is heated upto temperature $T$, one fourth of the air goes out. The value of $T$ is ..... $^oC$
One mole of an ideal gas at $300 \mathrm{~K}$ in thermal contact with surroundings expands isothermally from $1.0 \mathrm{~L}$ to $2.0 \mathrm{~L}$ against a constant pressure of $3.0 \mathrm{~atm}$. In this process, the change in entropy of surroundings $\left(\Delta S_{\text {surr }}\right)$ in $\mathrm{J} \mathrm{K}^{-1}$ is $(1 \mathrm{~L} \mathrm{~atm}=101.3 \mathrm{~J})$
Unit mass of a liquid with volume ${V_1}$ is completely changed into a gas of volume ${V_2}$ at a constant external pressure $P$ and temperature $T.$ If the latent heat of evaporation for the given mass is $L,$ then the increase in the internal energy of the system 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$
The latent heat of vaporisation of water is $2240\, J/gm$. If the work done in the process of expansion of $1 \,g$ is $168 \,J$, then increase in internal energy is ....... $J$