# Determine the new temperature of a sample of gas ?

if the pressure changes from 0.500 atm to 0.750 atm, and the gas had an initial temperature of 315 K. The volume and number of gas particles is held constant.

210. K

118 K

2.12 x 10-3 K

473 K

### 2 Answers

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- AshLv 71 month agoFavorite Answer
At constant Volume

P₁/T₁ = P₂/T₂

T₂ = P₂T₁ /P₁

T₂ = (0.750 atm)(315 K)/(0.500 atm) = 473 K

- SpacemanLv 71 month ago
Gay-Lussac's Law: The Pressure Temperature Law

P1 = initial pressure = 0.500 atm

P2 = final pressure = 0.750 atm

T1 = initial temperature = 310 K

T2 = final remperature = to be determined

P1 / T1 = P2 / T2

T2 · P1 / T1 = P2

T2 · P1 = T1 · P2

T2 = T1 · P2 / P1

T2 = 310 K · 0.750 atm / 0.500 atm

T2 = 465 K (473 K is the closest temperature option)

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