Question #7757

if you live in a tent whose inside volume is 203 m3 and the temperature in a cold morning is 15.o degree C but becomes 20.0 degees C in the afternonn due to the sun's warming, how many cubic meter of air was forced out of the tent due to the sun's warming . Assume that the pressure in the tent remains constant.

Expert's answer

P1V2=nRT1

P2V2=nRT2

R=const

n=P1*V1/T1

and P2*V2/T2

P1*V1/T1=P2*V2/T2

if

P=const

V1/T1=V2/T2

V2=V1*T2/T1

V2=203 m3 *

(293K/288K)=206,5

V2-V1=206,5-203=3,5 L

P2V2=nRT2

R=const

n=P1*V1/T1

and P2*V2/T2

P1*V1/T1=P2*V2/T2

if

P=const

V1/T1=V2/T2

V2=V1*T2/T1

V2=203 m3 *

(293K/288K)=206,5

V2-V1=206,5-203=3,5 L

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