Question

using the relationship between mass and volume in density, determine which conversion factor is needed to solve for the missing value where x indicates a drag the appropriate labels to their respective targets. view available hint(s) given value need conversion factor 5.0 g ml of sample 55 ml g of sample 15 l kg of sample 7.0 kg l of sample \\(\frac{1\\,\text{l}}{x\\,\text{kg}}\\) \\(\frac{x\\,\text{kg}}{1\\,\text{l}}\\) \\(\frac{x\\,\text{g}}{1\\,\text{ml}}\\) \\(\frac{1\\,\text{ml}}{x\\,\text{g}}\\) reset help

Explanation:

Step1: Match g to mL conversion

To convert mass (g) to volume (mL), use the factor with g and mL. The conversion factor $\frac{1\ \text{mL}}{X\ \text{g}}$ cancels grams and leaves milliliters.

Step2: Match mL to g conversion

To convert volume (mL) to mass (g), use the factor with mL and g. The conversion factor $\frac{X\ \text{g}}{1\ \text{mL}}$ cancels milliliters and leaves grams.

Step3: Match L to kg conversion

To convert volume (L) to mass (kg), use the factor with L and kg. The conversion factor $\frac{X\ \text{kg}}{1\ \text{L}}$ cancels liters and leaves kilograms.

Step4: Match kg to L conversion

To convert mass (kg) to volume (L), use the factor with kg and L. The conversion factor $\frac{1\ \text{L}}{X\ \text{kg}}$ cancels kilograms and leaves liters.

Answer:

Given Value	Need	Conversion Factor
55 mL	g of sample	$\frac{X\ \text{g}}{1\ \text{mL}}$
15 L	kg of sample	$\frac{X\ \text{kg}}{1\ \text{L}}$
7.0 kg	L of sample	$\frac{1\ \text{L}}{X\ \text{kg}}$