A particular kind of Spanish orange is completely fat free. If one of the oranges has 40 Calories total and a test shows that it contains 1gram of protein, how many grams of carbohydrates does it have

                      9 grams of Carbohydrates

Explanation:

                     The energies contained by each class of these compounds are as;

(i)  Fats:

            1 grams of Fat contains 9 Calories

(ii)  Proteins:

            1 grams of Proteins have 4 Calories

(iii)  Carbohydrates:

            1 grams of Carbohydrates contains 4 Calories

(iv)  Vitamins and Minerals:

            Vitamins and Minerals have no Calories

Solution:

As 1 gram of Protein Contains 4 Calories so, we will subtract 4 Calories from the total Calories contained by the Juice as,

Calories by Carbohydrates  =  Total Calories - Calories by Protein

Calories by Carbohydrates  =  40 - 4

Calories by Carbohydrates  =  36 Calories.

Hence,

As,

           4 Calories were contained by  =  1 gram of Carbohydrate

So,

       36 Calories will be contained by  =  X grams of Carbohydrates

Solving for X,

                      X =  36 Calories × 1 gram / 4 Calories

                       X  =  9 grams of Carbohydrates

when 25.0 ml of 0.700 mol/l naoh was mixed in a calorimeter with 25.0 ml of 0.700 mol/l hcl, both initially at 20.0 °c, the temperature increased to 22.1 °c. the heat capacity of the calorimeter is 279 j/°c.

the equation for the reaction is:

naoh + hcl → nacl + h₂o

moles of hcl = 0.0250 l hcl ×

0.700

mol hcl

1 l hcl = 0.0175 mol hcl

volume of solution = (25.0 + 25.0) ml = 50.0 ml

mass of solution = 50.0 ml soln ×

1.00

ml soln

= 50.0 g soln

δt=t2-t1

= (22.1 – 20.0) °c = 2.1 °c

the heats involved are

heat from neutralization + heat to warm solution + heat to warm calorimeter = 0

q1+q2+q3=0

nδh+mcδt+cδt=0

0.0175 mol ×

δh

+ 50.0 g × 4.184 j·g⁻¹°c⁻¹ × 2.1 °c + 279 j°c⁻¹ × 2.1 °c = 0

0.0175 mol ×

δh

+ 439.32 j + 585.9 j = 0

0.0175 mol ×

δh

= -1025.22 j

δh=1025.22j0.0175 mol= -58 600 j/mol = -58.6 kj/mol

frequency, z, and the collision density, z, in carbon dioxide (co2), r 180 pm at 30 °c and 120 kpa