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If two liquids of same mass but different densities r1 and r2 are mixed, then density of mixture is given by

Question

If two liquids of same mass but different densities r1 r_1 and r2 r_2 are mixed, then density of mixture is given by

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Solution

To find the density of the mixture when two liquids of the same mass but different densities (r1 and r2) are mixed, we can use the formula for the density of a mixture.

The formula is:

Density of mixture = (Mass of liquid 1 * Density of liquid 1 + Mass of liquid 2 * Density of liquid 2) / (Mass of liquid 1 + Mass of liquid 2)

Step 1: Determine the mass of each liquid. Let's say the mass of liquid 1 is m1 and the mass of liquid 2 is m2.

Step 2: Determine the densities of each liquid. Let's say the density of liquid 1 is r1 and the density of liquid 2 is r2.

Step 3: Substitute the values into the formula:

Density of mixture = (m1 * r1 + m2 * r2) / (m1 + m2)

Step 4: Calculate the density of the mixture using the given values for mass and density.

By following these steps, you can find the density of the mixture when two liquids of the same mass but different densities are mixed.

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