Question 279: Thermodynamics & KTG

Question

Given below are two statements :
Statement I : When $$\mu$$ amount of an ideal gas undergoes adiabatic change from state (P
1
, V
1
, T
1
) to state (P
2
, V
2
, T
2
), then work done is $$W = {{\mu R({T_2} - {T_1})} \over {1 - \gamma }}$$, where $$\gamma  = {{{C_p}} \over {{C_v}}}$$ and R = universal gas constant.
Statement II : In the above case, when work is done on the gas, the temperature of the gas would rise.
Choose the correct answer from the options given below :

Accepted Answer

$$W = {{\mu R({T_2} - {T_1})} \over {1 - r}}$$ for a polytropic process for adiabatic process r = $$\gamma$$
$$\Rightarrow$$ Statement I is true.
In an adiabatic process
$$\Delta$$U = $$-$$ $$\Delta$$W
$$\Rightarrow$$ If work is done on the gas
$$\Rightarrow$$ $$\Delta$$W is negative
$$\Rightarrow$$ $$\Delta$$U is positive or temperature increases
$$\Rightarrow$$ Statement II is true

Answer

Both Statement I and Statement II are true.

Answer

Both Statement I and Statement II are false.

Answer

Statement I is true but Statement II is false.

Answer

Statement I is false but Statement II is true.

Thermodynamics & KTG

Choose the correct answer: