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one mole of a monatomic ideal gas expands adiabatically and does 490 j of work. by how many kelvins does its temperature change?

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AnjaliP102

The temperature changes by -3978.88 kelvin.

What is thermodynamics?

  • The science of thermodynamics examines the connections between heat, work, temperature, and energy. The rules of thermodynamics explain how energy moves inside a system and whether or not the system is capable of performing beneficial work on its surroundings.

Here given ,

n = 1

W = 490j

Since the above process is adiabatic, heat is zero. Consequently, internal energy changes are caused by,

ΔU=Q-W

= 0 - 490

=-490 J

Additionally, for monoatomic gas, internal energy changes include,

ΔU=3/2*n*R*ΔT

-490 = 3/2 x n x R x ΔT

-490 = 3/2 x 1 x 0.0821 x ΔT

-490 = 0.12315 x ΔT

ΔT = -490 / 0.12315

ΔT = -3978.88 K

Since the above response has a negative sign, the temperature has decreased.

Therefore,

A reduction in temperature of about  ΔT = -3978.88 K has occurred.

To learn more about thermodynamics refer to :

https://brainly.com/question/13059309

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