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Chapter 1: Problem 28

A tank contains \(500 \mathrm{kg}\) of a liquid whose specific gravity is 2. Determine the volume of the liquid in the tank.

Short Answer

Expert verified
The volume of the liquid in the tank is 0.25 m^3

Step by step solution

01

Identify Given Values

We're given that the tank contains 500 kg of the liquid. The specific gravity of the liquid is 2. These are the values needed to solve the problem.
02

Understand and Apply Formula of Specific Gravity

We write the formula for specific gravity, which is Specific gravity = Density of substance / Density of water. With the provided specific gravity, we can derive the density of the substance as follows: Density of substance = Specific gravity * Density of water.
03

Calculate Density of Liquid

We already know the specific gravity (2) and the density of water (1000 kg/m^3). So, we find the density of the liquid as follows: Density of liquid = Specific gravity * Density of water = 2 * 1000 kg/m^3 = 2000 kg/m^3
04

Calculate Volume of Liquid

We know that volume is given by mass divided by density, \(volume = \frac{mass}{density}\). Given the mass (500 kg) and the calculated density (2000 kg/m^3), we can find the volume of the liquid. Therefore, Volume of liquid = 500 kg / 2000 kg/m^3 = 0.25 m^3

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