Ideal gas temperature

Classical Mechanics Level 2

An ideal gas initially at 2 7 ∘ C 27^\circ\text{C} is kept at a constant volume and pressure as 2 3 \dfrac23 of the gas is released to the surroundings. What is the new temperature of the gas in ∘ C ? ^\circ\text{C}?


The answer is 627.

July Thomas by July Thomas , 30, USA

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2 solutions

July Thomas
Jun 9, 2016

Consider the ideal gas equation.

P V = n R T PV=nRT

If pressure and volume are help constant, and the amount of stuff, n , n, decreases to 1 3 \frac13 its initial value, then the temperature must triple. The temperature thus increases from 300K to 900K, or 62 7 ∘ C . 627^\circ C.

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Pratham Shah
Jan 2, 2019

we know that PV=nRT as P,R and V are constant we can write nt=NT (where n,t are inital moles and temperature and N,T are final moles and temperature) as 2/3 moles are removed 1/3 moles remain in container hence N=n/3 and t is given to be 23C=300K 300n=nT/3 T=900K=627C

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