A recipe calls for 800 grams of sugar, 8 liters of water, and 4 package of flavoring. While gathering the ingredients, the student realizes that there is only 100 grams of sugar available. How can the student sill make the drink so that it has the correct concentration? they should use ___ L of water & packages of flavoring.

1 L of water

0.5 packages of flavoring

Explanation:

Step 1: Given data

Recipe

Sugar (S): 800 g

Water (W): 8 L

Flavoring (F): 4 packages

Step 2: Calculate the amount of water required

The ratio of S to W is 800 g: 8 L. The amount of water for 100 grams of sugar is:

100 g S × (8 L W/800 g S) = 1 L W

Step 3: Calculate the number of packages of flavoring required

The ratio of S to F is 800 g : 4 package. The number of packages of flavoring for 100 grams of sugar is:

100 g S × (4 package F/800 g S) = 0.5 package F

200.6cm³

Explanation:

Using Charles law equation as follows:

V1/T1 = V2/T2

Where;

V1 = initial volume (cm³)

V2 = final volume (cm³)

T1 = initial temperature (K)

T2 = final temperature (K)

According to the question;

initial volume (V1) = 254cm³

final volume (V2) = ?

Initial temperature (T1) = 72.6°C = 72.6 + 273 = 345.6K

Final temperature (T2) = 273K

V1/T1 = V2/T2

254/345.6 = V2/273

Cross multiply

345.6 × V2 = 273 × 254

345.6V2 = 69342

V2 = 69342 ÷ 345.6

V2 = 200.6cm³