A block has ¾ of it's volume immersed in pure water. What fraction of the same block will be immersed in salt water. Given the relative density is 1.025
To determine the fraction of the block that will be immersed in salt water, we need to compare the densities of salt water and pure water.
The relative density or specific gravity is the ratio of the density of a substance to the density of a reference substance. In this case, the density of salt water is 1.025 times the density of pure water.
Since ¾ of the block's volume is immersed in pure water, the remaining ¼ of the block's volume is above the water.
When the block is placed in salt water, the fraction of the block that will be immersed can be determined by the ratio of the density of salt water to the density of the block. Since salt water is 1.025 times denser than pure water, the fraction of the block immersed in salt water will be:
(1.025 * ¾) / (1.025 * ¾ + 1/4)
= (1.025/1.025 * ¾) / (1.025/1.025 * ¾ + 1/4)
= 0.76875 / (0.76875 + 1/4)
= 0.76875 / (0.76875 + 0.25)
= 0.76875 / 1.01875
= 0.754
Therefore, approximately 0.754 or 75.4% of the same block will be immersed in salt water.