Snoopy is inflated for the Macy’s Thanksgiving parade with 50,000 L of He at 25 oC and 1.2 atm. What is the percent decrease in Snoopy’s volume if the temperature drops to 4 oC before the parade? Assume constant pressure.

Respuesta :

Answer:

D.V.= - 1.34 %

Explanation:

Given that

V₁=50,000 L

T₁=25⁰C = 273 + 25 K =298 K

The final temperature ,T₂= 25 - 4 ⁰C = 21 ⁰C

T₂ = 21 + 273 K= 294 K

We know that for constant pressure process

[tex]V_2=\dfrac{T_2}{T_1}\times V_1[/tex]

[tex]V_2=\dfrac{294}{298}\times 50000\ L[/tex]

V₂=49328.85 L

The percent decrease in the volume is given as

[tex]D.V.=\dfrac{49328.85-50000}{50000}\times 100[/tex]

D.V.= - 1.34 %