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Show work! Before a trip from New York to Boston, the pressure in an automobile

ID: 2255460 • Letter: S

Question

Show work!

Before a trip from New York to Boston, the pressure in an automobile tire is 2.7 atm at 273 K. At the end of the trip, the pressure gauge reads 1.94 atm. What is the new Celsius temperature of the air inside the tire? (Assume tires with constant volume.) Answer in units of degree C The volume of a gas at 27 degree C and 0.37 atm is 81 mL. What volume will the same gas sample occupy at standard conditions? Answer in units of mL A gas has a volume of 1.88 L at -25 degree C and 162 kPa. At what temperature would the gas occupy 1.14 L at 241 kPa? Answer in units of degree C

Explanation / Answer

1.Given P1=2.7 atm,T1=273k

P2=1.94 atm T2=?

from the gas relation PV=NRT

here n and r constant

therefore

P( PROPOSONAL )TO T

therefore


P1/P2=T1/T2

i.e 2.7/1.94=273K/T2

T2=379.94 K

T2=106.79 Celcius


2.given

T1=27 degree-celcius

T1=300 K

P1=0.37 atm

V1=81 ml


T2=STP=0 degree-celcius

T2=273.15 K

P2=0.37 atm

V2=?


THEREFORE

PV=RT

I.E

P1V1/P2V2=T1/T2

HERE P1=P2


V1/V2=T1/T2


81/V2=300/273.15

81/1.098=V2

V2=73.77 ml


3.given

V1=1.88 l,T1=-25 degree-celcius ,P1=162 KPA

V2=1.14l,T=?,P2=241 KPA

THEREFORE

P1V1/P2V2=T1/T2

SUBSTUITTE ALL VALUES WIL GET



T2=22.255 degree-celcius



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