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Gelneren [198K]
3 years ago
8

The kinetic energy of a ball with a mass of 0.5kg and a velocity of 10 m/s is ?

Chemistry
1 answer:
KATRIN_1 [288]3 years ago
3 0

Answer:

K.E = 25 J

Explanation:

Given data:

Mass of ball = 0.5 g

Velocity of ball = 10 m/s

Kinetic energy = ?

Solution:

Formula:

K.E = 1/2 mv²

m = mass

v = velocity

Now we will put the values in formula.

K.E = 1/2 mv²

K.E = 1/2× 0.5kg × (10m/s)²

K.E = 1/2 ×0.5kg × 100m²/s²

K.E = 25 Kg.m²/s²

Kg.m²/s² = J

K.E = 25 J

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if i add 25 ml of water to 135 ml of a 0.25 M NaOH solution what will the molarity of the diluted solution be​
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Answer:

0.21 M. (2 sig. fig.)

Explanation:

The molarity of a solution is the number of moles of the solute in each liter of the solution. The unit for molarity is M. One M equals to one mole per liter.

How many moles of NaOH in the original solution?

n = c \cdot V,

where

  • n is the number of moles of the solute in the solution.
  • c is the concentration of the solution. c = 0.25 \;\text{M} = 0.25\;\text{mol}\cdot\textbf{L}^{-1} for the initial solution.
  • V is the volume of the solution. For the initial solution, V = 135\;\textbf{mL} = 0.135\;\textbf{L} for the initial solution.

n = c\cdot V = 0.25\;\text{mol}\cdot\textbf{L}^{-1} \times 0.135\;\textbf{L} = 0.03375\;\text{mol}.

What's the concentration of the diluted solution?

\displaystyle c = \frac{n}{V}.

  • n is the number of solute in the solution. Diluting the solution does not influence the value of n. n = 0.03375\;\text{mol} for the diluted solution.
  • Volume of the diluted solution: 25\;\text{mL} + 135\;\text{mL}  = 160\;\textbf{mL} = 0.160\;\textbf{L}.

Concentration of the diluted solution:

\displaystyle c = \frac{n}{V} = \frac{0.03375\;\text{mol}}{0.160\;\textbf{L}} = 0.021\;\text{mol}\cdot\textbf{L}^{-1} = 0.021\;\text{M}.

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