ФЫ ВАПРОВАЛРО Л ДЗ А П Р ОЛДЫВАПРЯЧСМИТЕЧСМИТЬБАСМИТЬБЮ ЯЧСмиDON'T USE AI | DON'T USE AI [DON'T USE AI | DON'T USE AI | DON'T USE AISOLVE STEP BY STEP IN DIGITAL FORMATA tank has two compartments separated by a membrane. Compartment 1 has 2 kg ofair and a volume of 1 m^3, compartment 2 has a volume of 1.5 m^3 with air with adensity of 0.8 kg/m^3. If the membrane ruptures, what is the final density of the air?УКЕНГШУЙЦУКЕНГШУКЕНГШЩ ЗКЕНГШЩ.УКЕНГШУЙЦУКЕНГШУКЕНГШ Щ ЭКЕНГШЩ:IBAПPOB ФЫ ВА ПРО ВАПРОЛДЗАПРОЛДСМИТНЧСМИТЯЧСМИТНЧСМИТЬБНСМИТЕ

Answered: A tank has two compartments separated…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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ФЫ ВАПРОВАЛРО Л ДЗ А П Р ОЛДЫВАПР
ЯЧСМИТЕЧСМИТЬБАСМИТЬБЮ ЯЧСми
DON'T USE AI | DON'T USE AI [DON'T USE AI | DON'T USE AI | DON'T USE AI
SOLVE STEP BY STEP IN DIGITAL FORMAT
A tank has two compartments separated by a membrane. Compartment 1 has 2 kg of
air and a volume of 1 m^3, compartment 2 has a volume of 1.5 m^3 with air with a
density of 0.8 kg/m^3. If the membrane ruptures, what is the final density of the air?
УКЕНГШУЙЦУКЕНГШУКЕНГШЩ ЗКЕНГШЩ.
УКЕНГШУЙЦУКЕНГШУКЕНГШ Щ ЭКЕНГШЩ:
IBAПPOB ФЫ ВА ПРО ВАПРОЛДЗАПРОЛД
СМИТНЧСМИТЯЧСМИТНЧСМИТЬБНСМИТЕ

Expert Solution

Step 1: Introduction:

Given: A tank has two compartments separated by a membrane. Compartment $1$ has $2$ kg of air and a volume of $1 space m cubed$ . Compartment $2$ has a volume of $1.5 space m cubed$ and density of $0.8 space k g divided by m cubed$ .

To find the final density of air if the membrane ruptures.

Concept used:

Density is the ratio of the total mass and volume. That is, if $rho$ is the density, $m$ is the mass and $V$ is the volume, then $rho equals m over V$ .

Consequently, $m equals rho cross times V$ .