Question

1. what is the metric equivalent of 0.356 liters (l) in milliliters (ml)? in other words, convert 0.356 l to ml. (1l = 1,000 ml). show your work.
2. directions for a lab require heating a reactant to a temperature of 363.6 k. however, the only thermometer available reads in degrees celsius. what is this temperature in °c? show your work.
3. the amount of food in a can must be documented on the label in us and metric units. if the weight of the item is 30 ounces, what is the mass in grams? show your work. (1 lb = 16 ounces) (454g = 1lb)
4. convert a density of 9.45 g/l to its equivalent in g/ml. (1 l = 1,000 ml) show your work.
5. convert 13,493 mg to kg (1g = 1000 mg) (1kg = 1000g) show your work.

Explanation:

Step1: Use conversion factor for liters to milliliters

We know that 1 L = 1000 ml. To convert 0.356 L to ml, we multiply 0.356 by 1000.
$0.356\times1000 = 356$ ml

Step2: Use Kelvin - Celsius conversion formula

The formula to convert Kelvin to Celsius is $T_{C}=T_{K}- 273.15$. Given $T_{K}=363.6$ K, then $T_{C}=363.6 - 273.15=90.45^{\circ}C$

Step3: Convert ounces to pounds and then to grams

First, convert 30 ounces to pounds. Since 1 lb = 16 ounces, the number of pounds is $\frac{30}{16}=1.875$ lb. Then, since 454 g = 1 lb, the mass in grams is $1.875\times454 = 851.25$ g

Step4: Convert density from g/L to g/mL

Since 1 L = 1000 mL, to convert 9.45 g/L to g/mL, we divide 9.45 by 1000. So, $9.45\div1000=0.00945$ g/mL

Step5: Convert milligrams to grams and then to kilograms

First, convert 13493 mg to g. Since 1 g = 1000 mg, the number of grams is $\frac{13493}{1000}=13.493$ g. Then, since 1 kg = 1000 g, the mass in kg is $13.493\div1000 = 0.013493$ kg

Answer:

1. 356 ml
2. $90.45^{\circ}C$
3. 851.25 g
4. 0.00945 g/mL
5. 0.013493 kg