If we assume the density of blood is 1.060 g/mL, what is the mass, in Mg, of 6.56 pints of blood? (Use: 1 L = 2.113 pints). Set-up your dimensional analysis on scratch paper or in mind, and type the final answer in scientific notation rounded to 2 decimal places. Type ONLY NUMERIC ANSWER (without units). Use "x" sign for multiplication, and "^" sign to type the exponent term, while leaving no spaces in between (to earn computer credit).
Question
If we assume the density of blood is 1.060 g/mL, what is the mass, in Mg, of 6.56 pints of blood? (Use: 1 L = 2.113 pints). Set-up your dimensional analysis on scratch paper or in mind, and type the final answer in scientific notation rounded to 2 decimal places. Type ONLY NUMERIC ANSWER (without units). Use "x" sign for multiplication, and "^" sign to type the exponent term, while leaving no spaces in between (to earn computer credit).
Solution
First, we need to convert pints to liters, then liters to milliliters, and finally use the density to find the mass in grams, which we then convert to Mg (megagrams).
Here's the step-by-step calculation:
6.56 pints * (1 L / 2.113 pints) = 3.10 L
3.10 L * (1000 mL / 1 L) = 3100 mL
3100 mL * (1.060 g / 1 mL) = 3286 g
3286 g * (1 Mg / 10^6 g) = 3.29 x 10^-3 Mg
So, the mass of 6.56 pints of blood is approximately 3.29 x 10^-3 Mg.
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