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Strike441 [17]
3 years ago
11

The volume of a gas increases from 18.7 m3 to 25.1 m3 while the pressure changes from 1.82 atm to 1.41 atm. If the initial tempe

rature is 353 K, the final temperature of the gas is K.
Physics
2 answers:
alexandr402 [8]3 years ago
8 0

So the final temperature is T₂=367 K.

irina [24]3 years ago
5 0
The combined gas law says: (P₁*V₁)/T₁=(P₂*V₂)/T₂ where P is the pressure in Pascals, V is the volume in m³ and T is the temperature in degrees Kelvin. 

P₁=1.82 atm= 184411.5 Pa 
P₂= 1.41 atm =142868.3 Pa
V₁=18.7 m³
V₂=25.1 m³
T₁=353 K
T₂=?

Lets solve the combined gas equation for T₂:

T₂*(P₁*V₁)/T₁=(P₂*V₂), 

T₂*(P₁*V₁)=(P₂*V₂)*T₁

T₂={(P₂*V₂)*T₁}/(P₁*V₁)=367.07 K=367 K

So the final temperature is T₂=367 K. 
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