A sample of ideal gas occupies a volume of 238 mL at STP. To what temperature must the sample be heated if it is to occupy a volume of 185 mL at 2.25 atm?

Asked by Topperlearning User | 20th Apr, 2015, 11:21: AM

Expert Answer:

At STP, P= 1 atm, T = 273 K

P1 = 1

V1 = 238 mL

T1= 273K

P1= 2.25 atm

V2 = 185 mL

T2 = ?

Using relation:

begin mathsize 11px style fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction space equals space fraction numerator straight P subscript 2 straight V subscript 2 over denominator straight T subscript 2 end fraction
fraction numerator 1 space cross times space 238 over denominator 273 end fraction space equals space fraction numerator 2.25 space cross times space 185 over denominator straight T 2 end fraction
therefore space straight T subscript 2 space equals space fraction numerator 2.25 space cross times space 185 space cross times space 273 over denominator 238 end fraction
therefore space straight T subscript 2 space equals space 477 space straight K end style

 

Answered by  | 20th Apr, 2015, 01:21: PM