Vogel6890 Vogel6890

14-09-2019
Physics

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One way to heat a gas is to compress it. A gas at 3.0 atm at 27°C is compressed to three tenths of its original volume, and it reaches 35 atm pressure. What is its new temperature?

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rejkjavik rejkjavik

17-09-2019

Answer:

T =3227 °C

Explanation:

Given data:

P1 = 3.0 atm

T1 = 27 degree celcius

P2 = 35 atm

from ideal gas equation

PV/T=const

[tex]\frac{P_1 V_1}{T_1} =\frac{P_2 V_2}{T_2}[/tex]

[tex]\frac{3*V}{(27+273)}=\frac{35*V*10}{T}[/tex]

solving for T WE GET

[/tex]0.01V = \frac{350V}{T}[/tex]

T=3500K

T=3500-273=3227 °C

T =3227 °C

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