A submarine at the surface contains of air at inside a ballast tank whose total…

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Problem

A submarine at the surface contains

40\,\text{m}^{3}

of air at

1.0\,\text{atm}

inside a ballast tank whose total capacity is

60\,\text{m}^{3}

; the remaining space is filled with seawater (

\rho = 1030\,\text{kg\,m}^{-3}

). The submarine dives to a depth where the absolute pressure is

4.0\,\text{atm}

and temperature remains unchanged. To stay neutrally buoyant, the ballast tank must remain completely filled. Approximately how much additional seawater mass will enter the tank during the dive? (a)

3.00 \times 10^{4}\,\text{kg}

(b)

1.03 \times 10^{4}\,\text{kg}

(c)

3.09 \times 10^{4}\,\text{kg}

(d)

2.75 \times 10^{4}\,\text{kg}

Related theory

Gaseous State
States of Matter
Boyle's law
Mole Concept and Molar Masses
Some Basic Concepts of Chemistry

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