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Physics Question on Thermodynamics

A thermally insulating cylinder has a thermally insulating and frictionless movable partition in the middle, as shown in the figure below On each side of the partition, there is one mole of an ideal gas, with specific heat at constant volume, CV=2RC _{ V }=2 R Here, RR is the gas constant Initially, each side has a volume V0V _{0} and temperature T0T_{0} The left side has an electric heater, which is turned on at very low power to transfer heat QQ to the gas on the left side As a result the partition moves slowly towards the right reducing the right side volume to V0/2V _{0} / 2 Consequently, the gas temperatures on the left and the right sides become TLT _{ L } and TRT _{ R }, respectively Ignore the changes in the temperatures of the cylinder, heater and the partition The value of TRT0\frac{ T _{ R }}{ T _{0}} is

A

2\sqrt{2}

B

3\sqrt{3}

C

22

D

33

Answer

2\sqrt{2}

Explanation

Solution

A

2\sqrt{2}