Question 1 :
Milk is poured into a cup of tea and is mixed with a spoon. It is an example of

Question 2 :
"Two systems in thermal equilibrium with a third system are in thermal equilibrium with each other" is the statement of:

Question 6 :
An insulated cylindrical vessel is filled with an insulated piston of negligible weight and negligible thickness at the mid point of the vessel. The cylinder contains a gas at $\displaystyle { 0 }^{ \circ  }C$. When the gas is heated to $\displaystyle { 100 }^{ \circ  }C$, the piston moves through a length of $5\ cm$. Length of the cylindrical vessel in $cm$ is:

Question 7 :
<span>150 J of heat has been added to the gas When 1 kg of ice at $0 ^ { \circ } \mathrm { C }$&nbsp;&nbsp;melts to water at $0 ^ { \circ } \mathrm { C }$&nbsp;&nbsp;the resulting change in its entropy latent heat of ice to be </span>$80 \mathrm { cal } / ^ { \circ } \mathrm { C }$&nbsp; is&nbsp;

Question 9 :
A monoatomic gas at pressure $P_1$&nbsp;and volume $V_1$&nbsp;is compressed adiabatically to $\displaystyle \frac{1}{8}$th&nbsp;of its original volume.&nbsp;What is the final pressure of the gas

Question 10 :
A given mass of a gas is compressed isothermally&#160;until its presssure is doubled. It is then allowed&#160;to expand adiabatically until its original volume&#160;is restored and its pressure is then found to be&#160;0.75 of its initial pressure. The ratio of the specific&#160;heats of the gas is approximately :<br/>

Question 11 :
When an ideal gas undergoes an adiabatic change causing a temperature change of $\Delta$T, then which of the following statements are correct<br/>(i) there is no heat gained or lost by the gas<br/>(ii) the work done by the gas is equal to change in internal energy.<br/>(iii) the change in internal energy per mole of the gas is $C_v \times \Delta T$, where $C_v$ is the molar heat capacity at constant volume<br/>

Question 12 :
$RMS$ speed of a monatomic gas is increased to two times of its initial value. If the process is done adiabatically then the ratio of final volume to initial volume will be&#160;

Question 13 :
Zeroth law of thermodynamics is not valid for which one of the following ?

Question 14 :
$300$ gm of water at $25^o$C is added to $100$gm of ice at $0^oC$ . Final temperature of the mixture is:

Question 15 :
The relation between internal energy U, pressure P and volume V of a gas in an adiabatic process is U=a+bPV, where a and b are positive constants. What is the value of $\gamma$?