Question 326: Thermodynamics & KTG

Question

A certain amount of gas of volume $$\mathrm{V}$$ at $$27^{\circ} \mathrm{C}$$ temperature and pressure $$2 	imes 10^{7} \mathrm{Nm}^{-2}$$ expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use $$\gamma=1.5)$$ :

Accepted Answer

Let AB is isothermal process and BC is adiabatic process then for AB process
P
A
V
A
= P
B
V
B
$$\Rightarrow$$ P
B
= 10
7
Nm
$$-$$2
For process BC
P
B
V$$_B^r$$ = P
C
V$$_C^r$$
P
C
= 3.536 x $$	imes$$ 10
6
Pa

Answer

$$3.536 	imes 10^{5} \mathrm{~Pa}$$

Answer

$$3.536 	imes 10^{6} \mathrm{~Pa}$$

Answer

$$1.25 	imes 10^{6} \mathrm{~Pa}$$

Answer

$$1.25 	imes 10^{5} \mathrm{~Pa}$$

Thermodynamics & KTG

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