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GaryK [48]
3 years ago
8

What is the charge on 1.0 kg of protons? (e = 1.60 × 10-19 c, mproton = 1.67 × 10-27 kg)?

Physics
2 answers:
Andru [333]3 years ago
8 0
First, we need to find the number of protons, which is the total mass divided by the mass of one proton:
N= \frac{m}{m_p}= \frac{1.0 kg}{1.67 \cdot 10^{-27} kg}=6.0 \cdot 10^{26} protons

Then, the total charge is the number of protons times the charge of a  single proton:
Q=Ne = 6.0 \cdot 10^{26}\cdot 1.60 \cdot 10^{-19} C=9.6 \cdot 10^7 C
Effectus [21]3 years ago
6 0

9.6 x 10⁷ C.

<h3>Further explanation</h3>

<u>Given:</u>

  • The total mass of protons = 1.0 kg
  • The mass of one proton = 1.67 \times 10^{-27} \ kg
  • The elementary charge of proton = 1.602 \times 10^{-19} \ C

<u>Question:</u>

What is the charge on 1.0 kg of protons?

<u>The Process:</u>

Atoms consist of smaller or subatomic particles, namely protons (p), electrons (e), and neutrons (n).

  • Protons are positively charged subatomic particles.
  • Electrons are negatively charged subatomic particles.
  • Neutrons are subatomic particles with no charge.

<u>Step-1: find the number of protons</u>

\boxed{ \ N = \frac{total \ mass}{mass \ of \ one \ proton} \ }

\boxed{ \ N = \frac{1.0 \ kg}{1.67 \times 10^{-27} \ kg} \ }

Hence, \boxed{ \ N = 5.99 \times 10^{26} \ protons} \ }

<u>Step-2: find the charge</u>

By using this formula,

\boxed{ \ Q = Ne \ }

we calculate the total charge of the protons.

Recall e = 1.602 \times 10^{-19} \ C

\boxed{ \ Q = (5.99 \times 10^{26})(1.602 \times 10^{-19}) \ }

Thus, the charge on 1.0 kg of protons is \boxed{\boxed{ \ 9.6 \times 10^7 \ C \ }}

<u>Quick Steps</u>

\boxed{ \ Q = 1.0 \ kg \times \frac{1 \ proton}{1.67 \times 10^{-27} \ kg} \times \frac{1.60 \times 10^{-19} \ C}{1 \ proton} \ } \rightarrow \boxed{ \ Q = 9.6 \times 10^7 \ C \ }

<h3>Learn more</h3>
  1. How many atoms thick was Rutherford's foil?  brainly.com/question/4929060  
  2. Find out the fraction of the space within the atom is occupied by the nucleus brainly.com/question/10818405
  3. Determine the shortest wavelength in electron transition brainly.com/question/4986277

Keywords: the charge, protons, the mass, the number, elementary

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