Computers and Technology, 16.10.2019 03:30 niceguy1997

An insulated rigid tank is divided into two equal parts by a partition. initially, one part contains 4 kg of an ideal gas at 850 kpa and 40°c, and the other part is evacuated. the partition is now removed, and the gas expands into the entire tank. determine the final temperature and pressure in the tank. (round the final answers to the nearest whole number.)

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Answer from: orgaprince

final pressure is = 425 kPa

Explanation:

Allowing ideal gas to expand in whole tank, therefore resisiting force in this process is zero. thus work done si also zero. considering ideal gas as system , there is no heat transefer during process of expansion.

Assuming : the gas act like ideal gas, change in kinetic and potential energy is negligible

from 1 st law we have

$Q - W = \Delta U + \Delta E_p + \Delta E_k$

By taking consideration of above assumption we get

$\Delta U = 0$

i.e. U_1 =U_2

from ideal gas equation we hvae

P_1 V_1 = m_1 RT_1

P_2 V_2 = m_2 RT_2

as internal energy remain same in both state therefore temperature remain same $\frac{P_2 V_2}{P_1 V_1} = \frac{m_2 RT_2}{m_1 RT_1}$

P_2 V_2 = P_1 V_1

as we knwo that V_2 = 2V_1

therefore we have

$P_2 =\frac{P_1}{2}$

= 425 kPa

Answer from: Quest

Iwould go with either b or c, not sure which one.

Answer from: Quest

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